Question

Determine if the triangles, VWZ and VXY, are similar. If so, identify the similarity criterion.

A) AA similarity

B) SAS similarity

C) SSS similarity

D) NOT similar

Answer 1

a

Explanation:

Answer 2

The triangles Δ VWZ and Δ VXY are similar by AA criteria.

Explanation:

See the attached diagram.

Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.

Therefore,
`(VZ)/(ZY) = (VW)/(WX) = (2)/(1) = 2`

So, line WZ divides the lines VY and VX in the same ratio 2 : 1.

So, Line WZ ║ Line XY

Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}

Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}

Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)