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

B. SAA (Side-Angle-Angle)

Step-by-step 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 , so the third angle can be determined since

                  < RST = < VQT =

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

5

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.