Which postulate or theorem proves that △QRS and △TRS are congruent?

Mathematics

1 answer:

Vanyuwa [196]2 years ago

8 0

Answer:

Option D is correct.

SAS Congruence Postulates

Step-by-step explanation:

In Δ QRS and Δ TRS

$QS \cong ST$ [Side] [Given]

$RS \cong RS$ [Common Side] [Given]

$\angle RSQ \cong \angle RST = 90^{\circ}$ [Angle]

SAS(Side- Angle -Side) postulates states states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then, by SAS postulates

$\triangle QRS \cong \triangle TRS$

You might be interested in

A person runs 1/8 mile in 1/64 hour.<br> The person's speed is (BLANK) miles per hour.

snow_tiger [21]

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the $\frac{1}{8}$ and $\frac{1}{64}$ proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.