Question

Two acute triangles are similar. Which of the following must the similar triangle have?

A) every pair of sides and angles congruent
B) at least one pair of congruent sides and one pair of congruent angles
C) congruent corresponding angles and proportional side lengths
D) a right angle and a hypotenuse

Answer 1

B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.

Answer 2

The correct answer is C). congruent corresponding angles and proportional side lengths

Explanation:

Similar Triangles : The two triangles are said to be similar to each other if their all corresponding angles are congruent to each other and the corresponding sides are proportional to each other.

Now, Given that two acute triangles are similar.

So, By using the definition of similarity of two triangles

We can conclude that :

All the corresponding angles of the acute triangles will be congruent to each other.

Also, The sides of both the acute triangles will be proportional to each other.

Therefore, The correct answer is C). congruent corresponding angles and proportional side lengths