Question

Triangle XYZ with points X(3, 2), Y(-4, 1) and Z(-1, 5) is dilated with a scale factor of 1/2. Angle Y is the same as Angle Y', true or false?

Answer 1

Hey there!

If you took a rectangle with all 90° angles and you shrunk it really small, it is still a rectangle, and will therefore still have 90° angles. The same goes with the triangles. If you dilate a triangle, the angles will always stay the same, but the sides will shrink or grow. However, the ratio between these sides will stay the same. So, this is true. :)

I hope this helps!