Mathematics
Grade9
Easy
Question
Which property justifies the next step?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAAApCAMAAAAlFO3IAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALoUExURf////7+/vz8/PT09PLy8vr6+vX19dDQ0MfHx9TU1Ozs7O7u7rOzs6ampru7u+Dg4Orq6pycnIuLi9bW1pqamoiIiKWlpdXV1fn5+e3t7f39/Z2dnYyMjKioqNfX1/b29pubm8rKyvj4+J+fn4+Pj6ysrNra2uXl5ePj476+vtHR0ff396qqqmFhYUJCQk1NTc/Pz+fn5+/v75OTk4SEhJ6ensnJyevr65mZmZaWlre3t9zc3PDw8PHx8dPT05KSkrKysvPz82JiYiIiIgoKCgwMDLi4uMjIyMvLy7m5uXx8fG5ubl5eXioqKiUlJVZWVuHh4cbGxq2trVBQUBEREQAAAIODg5CQkIeHh1hYWE5OTnp6epGRkVRUVBwcHAEBARoaGnd3d97e3mdnZ2RkZIWFhcXFxWlpaZeXl7y8vGVlZSQkJC8vL39/f319fYCAgHV1dURERFFRUWtra35+fnt7e3FxcTw8PAICAujo6FlZWQ0NDQkJCTU1NZSUlMzMzOLi4o6Ojt3d3XJyckpKSm9vb6Kiol1dXcHBwYKCgnR0dNLS0oaGhjo6OjAwMIqKiubm5tnZ2Q4ODj8/P2hoaGpqajs7O1JSUomJiXNzcygoKB4eHsDAwLa2tq6urqGhoVVVVU9PTz09PQgICAYGBhYWFlxcXHh4eHZ2dnBwcFtbWzIyMkZGRiAgIN/f342NjampqcTExMLCwhkZGbW1tcPDwzg4OBISEuTk5Kenp/v7+87OzmZmZjQ0NOnp6WxsbKSkpEhISNjY2M3NzbS0tKurq6+vr9vb20BAQBAQEHl5eR8fHy4uLr29vVNTU7CwsGNjY5iYmAcHByMjIycnJxsbGxUVFS0tLUxMTLq6uhgYGFdXV4GBgQUFBQMDA7+/vywsLCsrKykpKTk5OZWVlTY2Ng8PDyYmJl9fX0FBQW1tbRcXFx0dHQsLCyEhIUtLSxQUFEdHRz4+PhMTE0NDQzc3NzMzMwAAAJbv0PEAAAD4dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8AKM62NwAAAAlwSFlzAAAXEQAAFxEByibzPwAABmJJREFUaEPtWdGxtCoM3ndmeKMLCvCdFrQASqACZqiEQqiL5/sFUJEVxd2d/+We7xCIEIMbQwie1x9+CVbaP2Qwa+2fTWowKbkr/B8IbBLSFv4PBFhk+j/4CHsxx4bCw+4jJH5DUPvW9w+IpZ/yhA5IHcxJMQ1FTLLIqI8wmLmw/xCM8R8saye9McI68pSbCqvG4iWAvSPHJ8F/ZhPoHFPFnJBfTFpulUEtsxHcWpTLSuogJKerXLpk+eSV8unhQKX5mLDtO7Ju298Sah6mfNGOtVRQsTukn5dFeSHEBOpXqL33Gn6SOnJfr/VqWWb9GyeBb4agx9a1DdPYnOTF/EQn9XDykei10DpRr0Ixxge6yhB56KTVOi6wSPiNRbCslyWm9XoHx4OgdXsPJ7UJnRWGMe+FtQ5/NxV+MwdDPKqtu2npT5h5VmJf/cR8Sk7AvnMMyfluEKIp3A20UfPsm4STZqOGwX+GtpAHe43FCtM8sWWaz+G0gUWMJ/8jF+1Qanw0aA79p6RpWS+x93PIiwp7CSaHLcKcxVbztTESEC5nFQVHTM/ltE0NIrqW1O795y2fIqJnfPMELKf1sXeuj4+zeFL8KaFGwqSHwgjcPWCp3gMhWMCdEHPSDAW4YBabaTITs1xm7gKjq4Y0l19DzGHWp0g3px8xgid7zWleamUwlDUwRsztmQUZ2ohFYOd0SMZ0LrNjD/kDkEUKewskkoWr4DhWU+AMwUstarp7csbXrwEk2BVG+uB9INuRbyLClk1uvekJUYMFja1tKCpRhnYvBoU7juIMlpgjVtNkFhVSiIBAr+C3Ngrq0a28bMDGpgTUMaSus7p3vitQ5hCQoU0jEWzIIo6LtN1Q3hR0G1y5nmczcY+9efxAcCPoKAlO+phIe5ygSYe1V8A9jAsTFWA0vO5GCXvZ1SEv4JBRK5WURoXMr3RnMIZdaPZ4qVgzT566L4mnShYxeFk2zGCNKNLUPCFqUkaNZ4fXeZn7e4VGXc7MLwnpIylcZujErr5bhEZhMCTcCkEk5HTqApBflRZUbA1aNfgV2sE2C9jsIx8hLWuFEwYdlOaBsw1CROH6YBZnr4AImtJgRNEjGFYMPHtbM9Sc0RtyJ+qmwCKeXqrCqUbGOSp4y0cWIV1OpgCH9cfh6bQHXOBysELay+F7M1ZYE67piqW1jmNq7uricOf13A4PH81scA6KszfZR3BLmu4BAeQi2aApSxvcxltFhXIpsNB8bmHyS6yoZJGz8SNI4lbK0rcRP0cptVI4k3zoIwQK+TovdGzB+YWuz9DSM9DSLgevBix9HlnMnnqdzEbNWu/YBhqQj3ihFC3+KAJt72XkMTiO0CXVvk1+r0dXrFJdH0GSR7F8i6xjamsxsE2hOKKxh3kfo5/C7iMYe0IoEmH/mGAcLt5Q7jylI859BHJugkGw+y6qOfW02AYvpRLIRzT8HUE1aqm/2Wvk7iPNIzREzT2KFDU9H6E1o4yURs1+fxfE1LRi5VNbDxxBPiIQTLDfm0li1SQf6ctfgGOrKfkd5cvXOi5Ht8HCdOIIc/AOvMKUxXve1XnRfzKEvAw/gz58LUHiovYREh8lgCIrbb7osHLs436toaa1Luj4CLbHRSGWM6tnvAwK6m8yK45aazHwdUk+MrnJIE0TnDdx5BnouSn5xVLUJucjdNHS1pSLPjaBjo9wEWOeUGJbWFNCqluq0V63oNxdpMwPrmI/jiNpaomsN3DrLEUUf5o/AHdPdIIzH8F2ZimLTY+L86C4Ol2mW9v7O4D5sUFgyiVy7GXlJRcQO0IZKYufjRYBHherL9lnWAdrNTXlimqUjo84C/NnYWJvIleFTTCrP4JNWnPGuA7C4iwf0tHhTPACqyy0RDqPwS4RSnPfkXLnU1joPc1H3lHNdaCqWrFdgKkKfeGhfMrSZ0qYujp8bXcMA75G/0fAjnh1zltHLvTnoU0AB+D62PsdktaLuWmQhkudmwp57JoSEpP+hYwlffYPuCPK+KqipSPSh+XxRXGCdO83Ch6inip9VSw89de0NeXiCgdB9v6dtbreWeIayuWAdN0fPkcRHBHeZN6ZFiPqznBx37jKJNkRR/dWNtpwuDjKnFGDretkrKCMoCEuN1vZ6FgTdm5F1UPsu0APY5KQWgXHVW9It2z3HZhCW98b3oJXF6/Xf6I/nVEQvX/XAAAAAElFTkSuQmCC)
Given | |
- Symmetric Property
- Transitive Property
- Segment Addition Property
- Reflexive Property
Hint:
In this question we are given (CT) ̅ ≅ (XM) ̅ . We are given two lines and line CT and XM is approximately equal each other. We have to find out property behind this next step (XM) ̅ ≅ (CT) ̅ .
The correct answer is: Symmetric Property
Here we have to find out which property justifies the next step.
Firstly, we have given ![stack C T with bar on top space approximately equal to space stack X M with bar on top](data:image/png;base64,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)
And the next step is
.
According to symmetric property ,
x = y so y = x.
Therefore, it satisfies the property of symmetric where
and
.
The correct answer is Symmetric property.
And the next step is
According to symmetric property ,
x = y so y = x.
Therefore, it satisfies the property of symmetric where
The correct answer is Symmetric property.
In this question, we have to find the properties justifies the next step. While , in symmetric property where x = y then y = x, in reflexive x = x , in transitive x = y and y = z then x = z and in segment addition property if line have point a,b and c then ab + bc = ac.