Question

Which postulate can be used to prove that the two triangles below are Congruent?

A. ASA (Angle-Side-Angle)
B. SAS (Side-Angle-Side)
C. AAS (Angle-Angle-Side)
D. Not Enough Information

Answer 1

A
angle vtu is congruent to rts and the rest is given

Answer 2

B. SAA (Side-Angle-Angle)

Explanation:

In the diagram given, the horizontal sides of the two triangles are equal. Also, by the principle of opposite angles,

< RTS = < QTV

The two angles are equal.

Furthermore, the sum of angles in a triangle is
`180^(0)`, so the third angle can be determined since

< RST = < VQT =
`90^(0)`

Thus the two triangles are congruent due to side - angle- angle.