Question

Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC

Answer 1

Triangle ABD and triangle ECD (A)

Explanation:

Got the answer.

Answer 2

Triangle ABD and triangle ECD (A)

Explanation:

For two triangles to have a Side Angle Side Postulate, their corresponding sides and angle in the postulate must be equal.

To determine the pair of triangles that is congruent to the Side Angle Side Postulate let's check the options.

a) Triangle ABD and triangle ECD:

Looking at this two triangles, AB = EC

BD =CD

∠B = ∠D

Since the sides are and angle are equal, they are congruent

For the other options (b-d), you find that the corresponding sides of the two triangles and angle between them are not equal

b) Triangle ABC and triangle ECD

c) Triangle ABD and triangle ADC

d) Triangle ADC and triangle ABC