Mathematics
Grade9
Easy
Question
The quadrilateral is rotated about O. What is the value of y?
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9qvxcUY2NvKkG7TX+BSLKFTSw1pQbhbsnjnXIU3a539SO6uGUSNexEDmksAievj0DFFS3LiLK+M+0i8eellAfijnnyCCIzBmVAEkVZmQYqCVPeo0ORiNfvku0ahMsdt8MdkKIU0bJpxcIVxs9SrInIvWkHKd4rfTOArDSd8BsyYq07eIUum61OmhDtFxfvOXLwncnLw75NRwBBE/rsAiC80AyOAJcaerNs1xB6zvG8yJVn37wPem1WJ2vcpRsWgTVvmr65DNh/3fCbFJ/t6IS6Nu2anqfidp3itk2mh81YaVGIdngCTVNwTc+Ts/SHYFBzGDLzImlmaEBlVVmrlMU1M6PO8FMSZsMOgH1ndvtBajG4W2yi1km7KpPikESg1DJinrkZ6Y9wBwlSoM4oRUnBI7fRuyVJTGySveRU/+apKeGOeUpD5yKwouCNsLgglYxcdhWA6owohlKbRvrmMpHiaKX0oqpFVXDl0tBdMEafSPrmMjq0ypKqmXjJmlSefOKk/YguIJVQZS2uGt5e3wP371h5KUCujFFKMF4ac3CriBa9vvLIwfcn329hCTZd6+UKvfPC2CH9uWFSBwzM366d5Ab0HUstUZATTN9cJhLxaXAILn0zT0Yvrnekk68AYi6eJTld6lOW23ENffTG0ycHqvjwdA93/sfsR5yl4mbfinqnDrv34ueAoHSVDL2h1pTZaVXOz+41m9lRn1rkjgpazuIaBLUJs1feAmHSAGHTrZr9hkBWc7Zr5p5sIdL0e44cBwJSlEm8+putua8PtaZIyqSY09CDgCpJVh8yU8nE6/8DSXnRnHhuH3qq+ctAivZuDJoXao4hLxF8Fe3tZEC4Ow7MnAfWO3ktVL1HZuY8Yi+v1axfA9hrFRWeYy5nOgR7e5+ZufY4gKg9KFXi9zmBP4AqKbiy67I4f9+/mZbvpeuQK+Ys2FBAE6V+bgE0c5FgA979MDMzMzMzMzMzMzMzMzMzr8li8X85rSGR3jJkyAAAAABJRU5ErkJggg==)
- 2
- 3
- 4
- 5
Hint:
compare corresponding parts of quadrilaterals.
The correct answer is: 3
Rotation is isometry.
Step 1 :
Comparing corresponding parts
2y = 6
y = 3
3, is the value of y.
5x = 3y + 1 (substitute y = 3)
5x = 3(3) + 1
5x = 10
x = 2
corresponding parts of quadrilaterals, remain same after rotation.