Question
State if the two triangles are congruent. If they are, state how you know.
![](data:image/png;base64,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)
- HL
- SAS
- Not congruent
- AAS
Hint:
In this question, we have to find the method which triangles are proved if it is given that corresponding hypotenuse and side of the triangles are equal. HL (hypotenuse leg), SAS (side angle side) and AAS (angle side angle).
The correct answer is: HL
As congruent hypotenuse and other side is equal So, the triangles will be congruent by HL.
Related Questions to study
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARIAAACdCAMAAABPeAeoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f3787Ozq2trSEpIWNSWpyUlBAZGUIZEKUQWqVjEBAZQnuczubW5nMxWnNjMRlrWmtzc0rvnEqtnKUxGaUplKXvGUIp3kLvGaWtGUKtGXNa7xBarXMZ7xAZrRBrGXvvnHPvWhBr3hDvWnOtWhCtWnMplHPvGRAp3hDvGXOtGRCtGXvv3qXOWkrO3kJK3kLOWqVKlEqM3qWMWkKMWkrOnEqMnKUIlKXOGUII3kLOGaWMGUKMGXPOWhBK3hDOWnOMWhCMWnMIlHPOGRAI3hDOGXOMGRCMGd7W1kJCQqWlnEIZY62czggQCK1jWqUxWqVjMXulnBAZY3uc7973zoxjWgAAAK3v3u8ZEM4ZEObv70pKWoSEhCEZGcXFvWtrWoSMnN73a973EEJrWq2c7+9aEO/OEO+UEHMQKc5aEM7OEM6UEHMQCGMQWmNjEAhKWjo6MbW9tQgACO8ZMe9rpe8pY+8ppc5rpc4pY84ppc4ZMe9Kpe8IY+8Ipc5Kpc4IY84IpXNzezEpMd73nO/Otd73QqVrzkJrjKUpzkIpjKUQKXNrzhBrjHMpzhApjBBKKXvOrXvO73NSpe/OlKVKzkJKjKUIzkIIjKUQCHNKzhBKjHMIzhAIjBBKCHvOjHvOznNShO/Oc+9r5u9ac+9aMe/OMe8p5u+t5u+UMe+Uc3MxKe+ctRnv7xmt7xnvrRmtrc7Oc85r5s5ac84p5s6t5s6Uc86ctRnO7xmM7xnOrRmMre/OUu9K5u9aUs5aMc7OMe8I5u+M5s6UMe+UUnMxCO+clBnvzhmtzhnvjBmtjM7OUs5K5s5aUs4I5s6M5s6UUs6clBnOzhmMzhnOjBmMjIQQWoRjEClKWkJrKa3vra3O70JCEK3FlEJrCK3vjK3OzkIQOqVr76Xva0rv70Jr70Lva6VrpUJrrUqt76Wta0Kta6Up70IpraVK76XvSkrvzkJrzkLvSqVrhEJKrUqtzqWtSkKtSqUI70IIrXNzpc7OnM7W762Mrd73///v/wAAAK84if0AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAARtUlEQVR4Xu1dS3LysNIF27IGtxh4VxJVzFIeCGOnig3I7EDeaO4a/mnyu+7plswjAT8IfAkVTgjYxpZarX6pJZvZE09Mgvn0+QQwnxkVPTlyjHamKlFi48kWjzkYsdzlRQtpoV0++KfR4n+xzXNNYjLH3lNUSCpSmySy8PtPMSEYtxEuFwuvRCQ2fx1GiaYum+ZtTux4Cgkhlk0U2dxh88kQjypvtkLmAlrztK2Amal1nss8z20MhiBse7JlFidSayGSPCO1eVpXiImQVRRFqljZBWTmaU1mJkpsRBtvVsbgRwhi/zQiS3YVIayTTuHzaUpmKqZQHoiWYeMJ00bka0g+vIT8eTmBiylsN8CZtU9LwnD5piar+jStDDBBZXleYdD3VJkO83eB8DUNe08QXkTipI1ZSMxTdYgNbWYjQarj2fHntQdseBGNQuxKqvMc4TDadtuoWZo3iOvBoD+vOZQKMC7BgE+svNd5CgpghH2fzUotlywhf15MAFMlNN57lfr9Dvwga/14OQeXUHrAVLsKrLm1w1GKSoQ6PpQnq2BegUiT17k15RGX/Wj66MjZoB9rydmkO3Tnw9mnqnlnms2aZy5uj8fzYt6WAGUjl7eWkc600nzz46Dy+gLSi40Oqn87ECseTnGClEA+FpV0NzclgR8PxZbMexyiurYJhsS3xPyxvG/A3pYA6Y616MaK36V1HwYhLmFGROsdVGeOvz+dhj3YErzFTcIZtr/MELIlFJeEVVmm2AkSmr+dq3c87ANIX2aL7X6R1t9FRQE9GEKaA56U1vp5v0d0FTeCtyXkZLyjed1s30lv/jBLvMchIfEJeiU2tw/YHgtHcYmf8KuTTf2nhSSYVw4zeVUjvE7OXufvgvMlAGsNc8XoVUEBG+kSDj20vIQ24C18BPQ2yudeDwBr4iR4HWKTZ9VjgnMTvvXUjBM+9LSrk5IjGCcrBR1ixxwc0YPCEPW+9bSlVERY9A9Hq+Y9bB2gtFz6rYdeYhESWIdQPNo2CWB12uW2zuJ4JEzgUz+kVhzk016v3v1qEPX7piPGUDr3QIjeI/whej0GbFHms0kPrTRMPjiChvgXsSRZa61tbvt86icpCUyA6tB9S1Tg4wpJB7TAy0pkdwWZkzTxA/4L2GfVOngWxBuLgO3xcTKmj7SM0b522chljwKwlBxf562xKXZb8GrP4EcFGUSecqR/KI4o0qhY7/RXn3JAN48TQFfyPlSHhIv2HxVM+zxyussov+t8JWUi81XvlNU+X3KAn3WJZUOq0yNgvxbMC8+Qd6dlTikg0iBIia6ySkh/F8UlnPE4HsbtKgpLHk9OQDHiDrYiJlvZSrrQDJJ8UqQqFy985nl8jksOWFDAhoIfjycd1SpaChGppgpNgJSwDpVW8wqjC6hoyc15LKU+sTOPgcO6zKgSrpzP3hOfOzWzdwuPQ7ZA9JrXLx7nAJPtsoebhCH4wVkkmiW1fGFdGJewlJBx3PZOf3+JS/aYI7Sh6b/HExTAqHStC06xq/1dAkqEYKtqwhjuLC7bEiDe6J5vfy/mtXNZUXNnzt+td7mwL/US/T+ftVF8SQ4In+KSA+ioCmOdx0I7q3XOY3mmXW0ctWV8NHEmLvFgRkX/TfpE7HcijovNjuej0AbIBnuco34fYs7FuIRZbIqVeBjV8fJsYruzhWtsEfo6SlhxwJMg8EfcOYsej0PH5yJn1SHPE0r8XWCyKDILrTCptbIpTaxXNuPefPEsGQ+/CukMQh1l0nmdIeb+BLogZK8Lqmj0UuSVmqUYyojluyEnHL4cieyi4gSklGEDQ1o/9PldQMDBgTv9Q1pUXIisnMU2F29tjbFMYkVRTJWS7JJ5RTVcmxKy8KrzK9GluIjUyK0r8gb/H4uVjpVaZmsrZc7Dvgk4k6E/gKt7sxs/ug5C+vvgzdz8TdgiSLKiZ/e8GWOipbMSMfgUnMvQE7w4clWFRMBGW79Qc4DQU+ZDaA4YmMqFyPPGxWW0MOWmG/aNhEsu3DR9aD9Uh9Zr9Sb6fwo0nCH9NnFWFMfLQKLa2V2SNKIC9dP6srqYrPYMIJteb0h1prH6H4HZAaEobMUMoVFNINTUqbArmqPoyz2fQV9cQgNIZrBb0dOSfiFTAuGls/RwOGIP6PUDYUJbpkVmaU3iFFx2wjyMBFCe2oacA4DdUMNh659jXzW9q3Qrir1F/BIr1Afax6F3JLxHvOGALeQdgI4XP8WTo4rLNWL3L3J+OKCaKmyNxH7day/mbscBGxFCZpYJ+kl2dMlVjMKShOOmiwhjnPEYjF4BiCJN/6FiZgar64/xg9GZCxOn2tVtb++o20WvezAfauszUsSPWWt+Nro3kBCSkdpVKT9s5JBw/YrJUtIbvXYgBqQ7n2FD5SHU/zmgduqSWtvOv14QEzpLJdm0/ruYVfuMSO9guRE7n5zeJ7H3BYL1SoMjoODgdU/hORE1U6VklMeBmLR1c3JvSuejfwTomdi5j7d9959VZE8gpGQapcMeB11APTGbFd7rdGAifootqmpojoYxoMXTbckIKQn+TumcljoSK0hSf4obhKhq6L5mgFej9eKKuGTYlnS11pxh+9cIqUR++Y8IYXqKT2BEv9xFSvbwXuefD4lJMD0zqGLzsV0HhozC5Ljk4qTFObyFe84nEPRtUF3epcyhJO3cFFaMfCa6P+u+UtL69Vr/VkiOXCwqrp0OsxGDRiTgTmOcDgsn1zj/30ZqqAzBEHMgcqIomUX0NoIKXHWdlIxvoeInCP9LjqBR7TyEHfVadBNWHmMUaLItmSYl+/Va/w4kI/49isV+2Rkw3C+eYe9TWTJmJLzHHCGry29/H/4gWgpXK10QrcyjfTpxGCqppkl1lvQtyDkFl0zzOmMt203g26OKxHWOZt/CUWy5s8chGn4kYIsq68PVIy6M7Ji72xIQVeT6BeR0UeVdsC+XA9bYVa/xlxV3Q+pAZeCc60bCQ4UfgSgUO+ezand1xlQT16Kc2E4JVw/wlycTb8ybIiVgAFeyTxPckyMonCubRy7ozDWANKtmoj+Y5HECTEpTovcFZWiI4yrOtOtbpdoLKuGlyfzOWEzxOCQkLBgLeB0SmbOJmxuBKzK1gOf1SjNddfwVd8qqHYDOw3vnde6dWoutpkWIo73LKTxt0e2zagd4rlP5CNjWvHdHMUFj0kp0/v4agfSTGZOj16keh4jD6ZHYkRPomyz4LlRaZAVPRaOSCdHqCcBINXVh1ugMPYNtCYhrZ3GS1O0dOWIiygLsRQN1Tq/LXxElE5MDRymkMXV6Gokvzq9hI1zXgQecud5EmX7d84FOmFRJdzJdjuh1mtI5S1LCMREuHOTK4QSaEsUHaREunkTwF/irfTG8HbkqrPe+AodyuKzDzScj4TbscXhNwAQacGoUvI4PMb8JSiJS9b6sWIveVe596KjhT3pTcgpLcOr+mQN82YCE7XnGJxc5Zdj44HcDlH3lVBisiM+LjCHpHELuAJaOSni3E5fc+Dlh39Z9i0dBFdKvnCZcmoMcCahflwMxFK6y5F5fJI/YGWiSySaMB6hvSUpY9H0pg1zpTphHWm74CfbfH/xx1V7/5lEqqkPweE3Je3YEGDFxQHB6i9Ln4k7B6hGmLGqRN2lGyWmQTV9cIeAHHNaLaF0fEXFlocTJhYrK6F1FKrY0+JiAEetLPoHJrHWe1PN0Q09/YXxHUrgIvM0VcSQcOGLMRDAptbNJY5vEJknO9+OMRyGLuo5qoCzj4w46ByraVyikKE1sczAmmMXv8ASqR9qXCpdCacKKuPB2BWtAkHFJQvxowJZ84v0zLt/gKtto/Nmx1xqRa0P3Mmgd6vuW2vjWq0xnvHYVTAjmyb9PBPNwoW1al3FZl/VSTkkh4eoi38kGzGxk06xWw/MRVKGpm6Q26UZWaqHZ61xF+4kAIIA/cpbfcepeugQHCITFekJcQg/jcKvq440fhxOVQl5YPP4JSiNI+5AbujV7KaE6VzGF6QzG2qiicleHq18ANdZ7iTfrbLyUUFc4+knUgKLphuKXwPS39abCUFj6fGgR5JJ3JgLX+FdsRb24poRzYHeu93k/JaopWbL5rLIHp/0qRygODJ5LPiAdW6rZ8EIc/9VkoADuDlVJcdMpRNAotoq6HC+zPZ00HcRxVm3J95/3wVAdi0qXbUUSxf0RJzLuX3l6CV48TZoJH67eDCCSpMSzfO76lwp/ggnJAZ/4SAekJCh+qTNTa/oRRDJGnCboe9DDJfg+XMROOBZsWsx6EzBRXnFQwcxUE2c8jpfcLMPtWRdBPKeZ8nS21EU3nR/u15lWLYFJT62m39r0e7dDu2XzSn3WunRS2XPKvaI13KAhKeFwwUC/6tkrLTn1BxC4nS7/HA+jUug8yvA0T+fqBcCWVOIt7Khs/P04HCWe2JJxLYvlxyxdHz9gKeWFOJOh0m1RH194M57M2mqTGmMUXvHU5EDVHM5fylFWrpbFvDjhnuFnjk1FtLX/x4lfLyPfTrp4hOa4Rruscq7KxGrq/TiySIFXvJZily2xdfS3pOP7P3ql6bKStrC54B0+nKY6D7+bAoL6u6Q7oX2BXZ04RJ0CFQfylqlmj0MMH8f0gn+JeyV3K/zt6GF9K0JOL7ovrgf+FLlCAavc//bfIEcYOM+U7jSoJGJDDimUcvzCf9jg7eMXHTy6BPjkuUzFPwzcyWI/qAQMx4XWFv9rem0SemCfxcvajbyIxloptU4abXG+FmtNeR+UR4kPT1gP4PKjJNdpHC/jOKYPD+wQ+BNv/hXX+Jq26A1b9Dp87T/pHL/BZ/hNRl0vHRSH02yDdDHmLWwQTJB6J0OEvoujBfbUgp4CWtdUF96+olT4Vqm3aKFeVMR2LMjkUF8EumKZyyRJZELPOZMS3OePDUb0vif27xiQHnb/Q9fw1uGdrmlCIfzPZ1DRG3yXJLud9zijOALye88LSRC80dZASgScRBQwNow1cfyBHv2AiOAzbH4ssYt3fyRefuDlu95v0cEPPiHsQsLoGAnaB235E1K6MuVL0/hV6HXn1sIkfz+iQlRiy/H0QIs/48RQQREKsRbbFFWPKAWnLIosq7LM+R94vh+iChYgabLxU5p14i2l4IE5kzd0LXjhTWFgCy8lKCu2xRK8PeHVOfA4KYJN5yuuW140FmqNKuAAcjJ1RNkgdW2t8wYGMsmFZ+OXK3qLoEvYSyiRSy22Wu7GzEgTE0q5Q7022elxKZrrYNxGijQtxCrcrDkCpbVvaHYsEaRxlvyc5+4Mif/jF53lu5erwfXpHMO2YiVwxH9xGSilrRMEMqZVVr6Go9eiL9aI+Slo7Uw5f2PiiGn9tm44XVJvjgZ/frk6V9RTWwDzvvvBlJmqhpPhOAHF1uGHvc4nWy4Vcu44KLjUB6bKK9+EshmRCvIorVyLqrIrbhILwTEG2wegTuWS0NeLA2cvwfdqKZtXOPlCjou2xxDyFSbLwzI1k/GjWscAtsRDXFcpgAsjffzEj369IYbgknq3S5omgUHmubH7YFHRTatUvimSNMwnDqG0ZOVgXhP2huPGAF8QJTBFXN8LLbUbqJk40CJ63a0QWVGsPYrSa2AEqSU1au44YejD/37UuqkXxsTNauIAugMzMWrol0HQUONGJQlQFayXKNKCApn7wVTeA74raieIHSOPceOfIVbwD8WGOz0nga4whfST8+xHRilC1Ng3VHc3AWGYpSTna7ZWJGzNRyhB+2ab9K2MYrHK4HmuUxugRkCCaDnSOZzwAIhhNOw7TMHdjy8giISxyXfSZzNHILII1axuVg1HkdOFBIDuQGlXIhM2H+XqSNmiDQKie4MWGSJ6TRC97mC0Ro2/EL1SiiTP9WuIwybD1xJVHKBbmv8bqNeLYiR8EgO4qh/GAISYD4ExjhbC0iPkR9WkUucw/HLcuSN4eBHqtaqcq2msOeC2Qi0YN5O8DJ7+XZioLOvFS81r3wbdMJ+A/yOaruAKOTa6rCtloIijnrrCmE/EgRambmLrwl2nTzzxxBNPPPHEE0888cQvxmz2P5EmwDhHpME4AAAAAElFTkSuQmCC)
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARIAAACdCAMAAABPeAeoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f3787Ozq2trSEpIWNSWpyUlBAZGUIZEKUQWqVjEBAZQnuczubW5nMxWnNjMRlrWmtzc0rvnEqtnKUxGaUplKXvGUIp3kLvGaWtGUKtGXNa7xBarXMZ7xAZrRBrGXvvnHPvWhBr3hDvWnOtWhCtWnMplHPvGRAp3hDvGXOtGRCtGXvv3qXOWkrO3kJK3kLOWqVKlEqM3qWMWkKMWkrOnEqMnKUIlKXOGUII3kLOGaWMGUKMGXPOWhBK3hDOWnOMWhCMWnMIlHPOGRAI3hDOGXOMGRCMGd7W1kJCQqWlnEIZY62czggQCK1jWqUxWqVjMXulnBAZY3uc7973zoxjWgAAAK3v3u8ZEM4ZEObv70pKWoSEhCEZGcXFvWtrWoSMnN73a973EEJrWq2c7+9aEO/OEO+UEHMQKc5aEM7OEM6UEHMQCGMQWmNjEAhKWjo6MbW9tQgACO8ZMe9rpe8pY+8ppc5rpc4pY84ppc4ZMe9Kpe8IY+8Ipc5Kpc4IY84IpXNzezEpMd73nO/Otd73QqVrzkJrjKUpzkIpjKUQKXNrzhBrjHMpzhApjBBKKXvOrXvO73NSpe/OlKVKzkJKjKUIzkIIjKUQCHNKzhBKjHMIzhAIjBBKCHvOjHvOznNShO/Oc+9r5u9ac+9aMe/OMe8p5u+t5u+UMe+Uc3MxKe+ctRnv7xmt7xnvrRmtrc7Oc85r5s5ac84p5s6t5s6Uc86ctRnO7xmM7xnOrRmMre/OUu9K5u9aUs5aMc7OMe8I5u+M5s6UMe+UUnMxCO+clBnvzhmtzhnvjBmtjM7OUs5K5s5aUs4I5s6M5s6UUs6clBnOzhmMzhnOjBmMjIQQWoRjEClKWkJrKa3vra3O70JCEK3FlEJrCK3vjK3OzkIQOqVr76Xva0rv70Jr70Lva6VrpUJrrUqt76Wta0Kta6Up70IpraVK76XvSkrvzkJrzkLvSqVrhEJKrUqtzqWtSkKtSqUI70IIrXNzpc7OnM7W762Mrd73///v/wAAAK84if0AAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAARtUlEQVR4Xu1dS3LysNIF27IGtxh4VxJVzFIeCGOnig3I7EDeaO4a/mnyu+7plswjAT8IfAkVTgjYxpZarX6pJZvZE09Mgvn0+QQwnxkVPTlyjHamKlFi48kWjzkYsdzlRQtpoV0++KfR4n+xzXNNYjLH3lNUSCpSmySy8PtPMSEYtxEuFwuvRCQ2fx1GiaYum+ZtTux4Cgkhlk0U2dxh88kQjypvtkLmAlrztK2Amal1nss8z20MhiBse7JlFidSayGSPCO1eVpXiImQVRRFqljZBWTmaU1mJkpsRBtvVsbgRwhi/zQiS3YVIayTTuHzaUpmKqZQHoiWYeMJ00bka0g+vIT8eTmBiylsN8CZtU9LwnD5piar+jStDDBBZXleYdD3VJkO83eB8DUNe08QXkTipI1ZSMxTdYgNbWYjQarj2fHntQdseBGNQuxKqvMc4TDadtuoWZo3iOvBoD+vOZQKMC7BgE+svNd5CgpghH2fzUotlywhf15MAFMlNN57lfr9Dvwga/14OQeXUHrAVLsKrLm1w1GKSoQ6PpQnq2BegUiT17k15RGX/Wj66MjZoB9rydmkO3Tnw9mnqnlnms2aZy5uj8fzYt6WAGUjl7eWkc600nzz46Dy+gLSi40Oqn87ECseTnGClEA+FpV0NzclgR8PxZbMexyiurYJhsS3xPyxvG/A3pYA6Y616MaK36V1HwYhLmFGROsdVGeOvz+dhj3YErzFTcIZtr/MELIlFJeEVVmm2AkSmr+dq3c87ANIX2aL7X6R1t9FRQE9GEKaA56U1vp5v0d0FTeCtyXkZLyjed1s30lv/jBLvMchIfEJeiU2tw/YHgtHcYmf8KuTTf2nhSSYVw4zeVUjvE7OXufvgvMlAGsNc8XoVUEBG+kSDj20vIQ24C18BPQ2yudeDwBr4iR4HWKTZ9VjgnMTvvXUjBM+9LSrk5IjGCcrBR1ixxwc0YPCEPW+9bSlVERY9A9Hq+Y9bB2gtFz6rYdeYhESWIdQPNo2CWB12uW2zuJ4JEzgUz+kVhzk016v3v1qEPX7piPGUDr3QIjeI/whej0GbFHms0kPrTRMPjiChvgXsSRZa61tbvt86icpCUyA6tB9S1Tg4wpJB7TAy0pkdwWZkzTxA/4L2GfVOngWxBuLgO3xcTKmj7SM0b522chljwKwlBxf562xKXZb8GrP4EcFGUSecqR/KI4o0qhY7/RXn3JAN48TQFfyPlSHhIv2HxVM+zxyussov+t8JWUi81XvlNU+X3KAn3WJZUOq0yNgvxbMC8+Qd6dlTikg0iBIia6ySkh/F8UlnPE4HsbtKgpLHk9OQDHiDrYiJlvZSrrQDJJ8UqQqFy985nl8jksOWFDAhoIfjycd1SpaChGppgpNgJSwDpVW8wqjC6hoyc15LKU+sTOPgcO6zKgSrpzP3hOfOzWzdwuPQ7ZA9JrXLx7nAJPtsoebhCH4wVkkmiW1fGFdGJewlJBx3PZOf3+JS/aYI7Sh6b/HExTAqHStC06xq/1dAkqEYKtqwhjuLC7bEiDe6J5vfy/mtXNZUXNnzt+td7mwL/US/T+ftVF8SQ4In+KSA+ioCmOdx0I7q3XOY3mmXW0ctWV8NHEmLvFgRkX/TfpE7HcijovNjuej0AbIBnuco34fYs7FuIRZbIqVeBjV8fJsYruzhWtsEfo6SlhxwJMg8EfcOYsej0PH5yJn1SHPE0r8XWCyKDILrTCptbIpTaxXNuPefPEsGQ+/CukMQh1l0nmdIeb+BLogZK8Lqmj0UuSVmqUYyojluyEnHL4cieyi4gSklGEDQ1o/9PldQMDBgTv9Q1pUXIisnMU2F29tjbFMYkVRTJWS7JJ5RTVcmxKy8KrzK9GluIjUyK0r8gb/H4uVjpVaZmsrZc7Dvgk4k6E/gKt7sxs/ug5C+vvgzdz8TdgiSLKiZ/e8GWOipbMSMfgUnMvQE7w4clWFRMBGW79Qc4DQU+ZDaA4YmMqFyPPGxWW0MOWmG/aNhEsu3DR9aD9Uh9Zr9Sb6fwo0nCH9NnFWFMfLQKLa2V2SNKIC9dP6srqYrPYMIJteb0h1prH6H4HZAaEobMUMoVFNINTUqbArmqPoyz2fQV9cQgNIZrBb0dOSfiFTAuGls/RwOGIP6PUDYUJbpkVmaU3iFFx2wjyMBFCe2oacA4DdUMNh659jXzW9q3Qrir1F/BIr1Afax6F3JLxHvOGALeQdgI4XP8WTo4rLNWL3L3J+OKCaKmyNxH7day/mbscBGxFCZpYJ+kl2dMlVjMKShOOmiwhjnPEYjF4BiCJN/6FiZgar64/xg9GZCxOn2tVtb++o20WvezAfauszUsSPWWt+Nro3kBCSkdpVKT9s5JBw/YrJUtIbvXYgBqQ7n2FD5SHU/zmgduqSWtvOv14QEzpLJdm0/ruYVfuMSO9guRE7n5zeJ7H3BYL1SoMjoODgdU/hORE1U6VklMeBmLR1c3JvSuejfwTomdi5j7d9959VZE8gpGQapcMeB11APTGbFd7rdGAifootqmpojoYxoMXTbckIKQn+TumcljoSK0hSf4obhKhq6L5mgFej9eKKuGTYlnS11pxh+9cIqUR++Y8IYXqKT2BEv9xFSvbwXuefD4lJMD0zqGLzsV0HhozC5Ljk4qTFObyFe84nEPRtUF3epcyhJO3cFFaMfCa6P+u+UtL69Vr/VkiOXCwqrp0OsxGDRiTgTmOcDgsn1zj/30ZqqAzBEHMgcqIomUX0NoIKXHWdlIxvoeInCP9LjqBR7TyEHfVadBNWHmMUaLItmSYl+/Va/w4kI/49isV+2Rkw3C+eYe9TWTJmJLzHHCGry29/H/4gWgpXK10QrcyjfTpxGCqppkl1lvQtyDkFl0zzOmMt203g26OKxHWOZt/CUWy5s8chGn4kYIsq68PVIy6M7Ji72xIQVeT6BeR0UeVdsC+XA9bYVa/xlxV3Q+pAZeCc60bCQ4UfgSgUO+ezand1xlQT16Kc2E4JVw/wlycTb8ybIiVgAFeyTxPckyMonCubRy7ozDWANKtmoj+Y5HECTEpTovcFZWiI4yrOtOtbpdoLKuGlyfzOWEzxOCQkLBgLeB0SmbOJmxuBKzK1gOf1SjNddfwVd8qqHYDOw3vnde6dWoutpkWIo73LKTxt0e2zagd4rlP5CNjWvHdHMUFj0kp0/v4agfSTGZOj16keh4jD6ZHYkRPomyz4LlRaZAVPRaOSCdHqCcBINXVh1ugMPYNtCYhrZ3GS1O0dOWIiygLsRQN1Tq/LXxElE5MDRymkMXV6Gokvzq9hI1zXgQecud5EmX7d84FOmFRJdzJdjuh1mtI5S1LCMREuHOTK4QSaEsUHaREunkTwF/irfTG8HbkqrPe+AodyuKzDzScj4TbscXhNwAQacGoUvI4PMb8JSiJS9b6sWIveVe596KjhT3pTcgpLcOr+mQN82YCE7XnGJxc5Zdj44HcDlH3lVBisiM+LjCHpHELuAJaOSni3E5fc+Dlh39Z9i0dBFdKvnCZcmoMcCahflwMxFK6y5F5fJI/YGWiSySaMB6hvSUpY9H0pg1zpTphHWm74CfbfH/xx1V7/5lEqqkPweE3Je3YEGDFxQHB6i9Ln4k7B6hGmLGqRN2lGyWmQTV9cIeAHHNaLaF0fEXFlocTJhYrK6F1FKrY0+JiAEetLPoHJrHWe1PN0Q09/YXxHUrgIvM0VcSQcOGLMRDAptbNJY5vEJknO9+OMRyGLuo5qoCzj4w46ByraVyikKE1sczAmmMXv8ASqR9qXCpdCacKKuPB2BWtAkHFJQvxowJZ84v0zLt/gKtto/Nmx1xqRa0P3Mmgd6vuW2vjWq0xnvHYVTAjmyb9PBPNwoW1al3FZl/VSTkkh4eoi38kGzGxk06xWw/MRVKGpm6Q26UZWaqHZ61xF+4kAIIA/cpbfcepeugQHCITFekJcQg/jcKvq440fhxOVQl5YPP4JSiNI+5AbujV7KaE6VzGF6QzG2qiicleHq18ANdZ7iTfrbLyUUFc4+knUgKLphuKXwPS39abCUFj6fGgR5JJ3JgLX+FdsRb24poRzYHeu93k/JaopWbL5rLIHp/0qRygODJ5LPiAdW6rZ8EIc/9VkoADuDlVJcdMpRNAotoq6HC+zPZ00HcRxVm3J95/3wVAdi0qXbUUSxf0RJzLuX3l6CV48TZoJH67eDCCSpMSzfO76lwp/ggnJAZ/4SAekJCh+qTNTa/oRRDJGnCboe9DDJfg+XMROOBZsWsx6EzBRXnFQwcxUE2c8jpfcLMPtWRdBPKeZ8nS21EU3nR/u15lWLYFJT62m39r0e7dDu2XzSn3WunRS2XPKvaI13KAhKeFwwUC/6tkrLTn1BxC4nS7/HA+jUug8yvA0T+fqBcCWVOIt7Khs/P04HCWe2JJxLYvlxyxdHz9gKeWFOJOh0m1RH194M57M2mqTGmMUXvHU5EDVHM5fylFWrpbFvDjhnuFnjk1FtLX/x4lfLyPfTrp4hOa4Rruscq7KxGrq/TiySIFXvJZily2xdfS3pOP7P3ql6bKStrC54B0+nKY6D7+bAoL6u6Q7oX2BXZ04RJ0CFQfylqlmj0MMH8f0gn+JeyV3K/zt6GF9K0JOL7ovrgf+FLlCAavc//bfIEcYOM+U7jSoJGJDDimUcvzCf9jg7eMXHTy6BPjkuUzFPwzcyWI/qAQMx4XWFv9rem0SemCfxcvajbyIxloptU4abXG+FmtNeR+UR4kPT1gP4PKjJNdpHC/jOKYPD+wQ+BNv/hXX+Jq26A1b9Dp87T/pHL/BZ/hNRl0vHRSH02yDdDHmLWwQTJB6J0OEvoujBfbUgp4CWtdUF96+olT4Vqm3aKFeVMR2LMjkUF8EumKZyyRJZELPOZMS3OePDUb0vif27xiQHnb/Q9fw1uGdrmlCIfzPZ1DRG3yXJLud9zijOALye88LSRC80dZASgScRBQwNow1cfyBHv2AiOAzbH4ssYt3fyRefuDlu95v0cEPPiHsQsLoGAnaB235E1K6MuVL0/hV6HXn1sIkfz+iQlRiy/H0QIs/48RQQREKsRbbFFWPKAWnLIosq7LM+R94vh+iChYgabLxU5p14i2l4IE5kzd0LXjhTWFgCy8lKCu2xRK8PeHVOfA4KYJN5yuuW140FmqNKuAAcjJ1RNkgdW2t8wYGMsmFZ+OXK3qLoEvYSyiRSy22Wu7GzEgTE0q5Q7022elxKZrrYNxGijQtxCrcrDkCpbVvaHYsEaRxlvyc5+4Mif/jF53lu5erwfXpHMO2YiVwxH9xGSilrRMEMqZVVr6Go9eiL9aI+Slo7Uw5f2PiiGn9tm44XVJvjgZ/frk6V9RTWwDzvvvBlJmqhpPhOAHF1uGHvc4nWy4Vcu44KLjUB6bKK9+EshmRCvIorVyLqrIrbhILwTEG2wegTuWS0NeLA2cvwfdqKZtXOPlCjou2xxDyFSbLwzI1k/GjWscAtsRDXFcpgAsjffzEj369IYbgknq3S5omgUHmubH7YFHRTatUvimSNMwnDqG0ZOVgXhP2huPGAF8QJTBFXN8LLbUbqJk40CJ63a0QWVGsPYrSa2AEqSU1au44YejD/37UuqkXxsTNauIAugMzMWrol0HQUONGJQlQFayXKNKCApn7wVTeA74raieIHSOPceOfIVbwD8WGOz0nga4whfST8+xHRilC1Ng3VHc3AWGYpSTna7ZWJGzNRyhB+2ab9K2MYrHK4HmuUxugRkCCaDnSOZzwAIhhNOw7TMHdjy8giISxyXfSZzNHILII1axuVg1HkdOFBIDuQGlXIhM2H+XqSNmiDQKie4MWGSJ6TRC97mC0Ro2/EL1SiiTP9WuIwybD1xJVHKBbmv8bqNeLYiR8EgO4qh/GAISYD4ExjhbC0iPkR9WkUucw/HLcuSN4eBHqtaqcq2msOeC2Qi0YN5O8DJ7+XZioLOvFS81r3wbdMJ+A/yOaruAKOTa6rCtloIijnrrCmE/EgRambmLrwl2nTzzxxBNPPPHEE0888cQvxmz2P5EmwDhHpME4AAAAAElFTkSuQmCC)
Complete the congruence statement: ∆ BCA =
![](data:image/png;base64,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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
Complete the congruence statement: ∆ BCA =
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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
We want to show that
. We have to use SAS criterion. We have
, RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
We want to show that
. We have to use SAS criterion. We have
, RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
![](data:image/png;base64,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)
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
![](data:image/png;base64,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)
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
![](data:image/png;base64,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)
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
![](data:image/png;base64,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)
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
![](data:image/png;base64,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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
If, for ∆ ABC and ∆ DEF, the correspondence CAB and EDF gives a congruence, then false statement is
If, for ∆ ABC and ∆ DEF, the correspondence CAB and EDF gives a congruence, then false statement is
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC and ∆ DBC are on the same base BC, AB = DC and AC= DB, then __________gives a congruence relationship.
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
If ∆ ABC ≅ ∆ PQR, then any ∠B correspond to
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
The symbol of correspondence is
The double-sided arrow symbol is used to denote correspondence.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
In SAS congruency
In SAS congruence, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
In the given figure, if ,
then ___________.
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)
In the given figure, if ,
then ___________.
![A picture containing text, antenna
Description automatically 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)
Two sides and the included angle are congruent in __________ postulate.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Two sides and the included angle are congruent in __________ postulate.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.