Question

Select the correct similarity statement.

ASTR-ATQR
ASTR - ARST
O ASTR – ASQR
O ASTRARTO

Answer 1

∆STR ~ ∆RTQ

Explanation:

For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.

However, the corresponding angles of two similar figures are the same and equal.

Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.

<T in ∆STR = <T in ∆RTQ.

Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.

The last option is correct.