Question

I need guidance on finding true statements about the triangles

Answer 1

Given:

The figure of a parallelogram ABCD is given which has two triangles ABC and BCD.

Required:

We have to select the correct statement.

Step-by-step explanation:

We can see that the sides AB and CD are marked by | or by one line so these sides are equal. The sides AC and BD are marked by || two or by two lines so these two sides are equal.

Now, angle A and angle D are marked by | or by one line so these two angles are equal.

Hence we have that the two triangles are similar by

`side-side-angle\text{ i.e., }side-angle-side.`

Final answer:

Triangle ABC and BCD are congruent by the side-angle-side Triangle Congruence theorem.