Question

Determine if the triangles, APQT and AQRS, are similar. If so, identify the similarity criterion

A)
AA similarity
Gaping
Calc
B)
SAS similarity
09
SSS similarity
Formulas
D)
not similar

Answer 1

see explanation

Explanation:

Consider the ratios of corresponding sides

`(PQ)/(QR)` =
`(30)/(15)` = 2

`(PT)/(QS)` =
`(20)/(10)` = 2

`(QT)/(RS)` =
`(28)/(14)` = 2

Since the ratios of corresponding sides are equal, then

Δ PQT and Δ QRS are similar by the SSS postulate