Question

4. If AQRS N AXYZ, identify the pairs of congruent angles and write 3 proportions using pairs of corresponding sides.

Answer 1

Step-by-step explanation:

To identify the pairs of congruent angles we have to follow the order in which they are written in the similatity statement.

For two similar triangles, the proportions between corresponding sides must be constant.

Answers:

Congruent angles:

• ∠Q ≅∠X

,

• ∠R≅∠Y

,

• ∠S≅∠Z

Proportions:

`\begin{gathered} (QR)/(XY)=k \\ (RS)/(YZ)=k \\ (SQ)/(ZX)=k \end{gathered}`

(k is the scale factor)