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8 votes
8 votes
Tell whether the triangles are similar. Explain.

Tell whether the triangles are similar. Explain.-example-1
User Convict Moody
by
2.7k points

2 Answers

20 votes
20 votes

Answer:

Similar

Explanation:

They are similar because they are the same shape

User Mparaz
by
3.2k points
28 votes
28 votes

Answer:

Explanation:

We can use the AA Similarity Theorem that says that if two corresponding pairs of angles are congruent then the two triangles are similar.

11.

On the big triangles we are given one angle is 90° , one angle is 51° and

we know that the sum of all angles in a triangle is 180.

Calculate the missing angle in the big triangle:

180 -90-51 = 39°

Also in the picture we see a given angle of 102° that is adjacent to the 39° angle and another missing angle adjacent that form together 180° given the 2 triangles sin on a straight line.

Calculate the third missing angle

180 -39-102 = 39°

The green triangles are similar because of AA Similarity Theorem.

A= 39°=39° angles with same measure are congruent

A=90°=90° all right angles are congruent

12.

We have 2 vertical angles here and we know that vertical angles are congruent. Is given one of the vertical angle is 29° so the other vertical angle is 29° as well.

We are also given an angle of 88° and given that the sum of angles in a Δ is 180° we can find the third angle in that Δ.

180-29-88 = 63°

On the Δ that is on the right side we are given an angle of 91° and an adjacent angle along a straight line so they must form together 180°. 91+89 = 180

So the third angle in the Δ is 180-29-89 = 62.

We can see here that the angles are not congruent so the yellow triangles are NOT similar.

Tell whether the triangles are similar. Explain.-example-1
User Cyrf
by
3.2k points