Question

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Given trapezoid WXYZ shown above, determine how triangles WXZ and XZY can be shown to be similar.
Since XZW ZYX and WXZ XZY, the triangles are similar by angle-angle.

Since XZW ZYX and XZ = WZ, the triangles are similar by angle-side.

Since XZW ZYX and WXZ YXZ, the triangles are similar by angle-angle.

Since XZW ZYX and XZ = ZX, the triangles are similar by angle-side.

Answer 1

@chycora

Answer 2

i'll help but fyi i'm in the 7th

Answer 3

okay

Answer 4

k

Answer 5

@confluxepic

Answer 6

i think it's either Since XZW ZYX and XZ = WZ, the triangles are similar by angle-side.
or Since XZW ZYX and XZ = ZX, the triangles are similar by angle-side. hope i helped

Answer 7

Since we have a trapezoid, by definition, the two sides marked above, ZY and WX, are parallel. Also, we are given angles 1 and 2 are right angles.

Answer 8

All right angles are congruent, so angles 1 and 2 are congruent.
That is one pair of corresponding angles that are congruent.

Answer 9

Lines ZY and WX are parallel lines.
Line XZ is a transversal.
Angles 3 and 4 are alternate interior angles, and therefore congruent.
That is a second pair of corresponding congruent angles.
By angle-angle, the triangles are similar.