Similar Angles in Triangles

Are the triangles similar?

• Yes

• No

Answer explanation

Yes, the triangles are similar because they have the same shape and their corresponding angles are equal, which satisfies the criteria for triangle similarity.

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Answer explanation

Triangles B and C are not similar to triangle A, as they do not have the same shape or proportional sides. Therefore, the correct answer is 'None'.

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Answer explanation

Triangle B is similar to triangle A due to having the same angles or proportional sides. Triangle C does not meet the criteria for similarity. Therefore, the correct answer is B.

Which triangles are similar to triangle A?

• B

• C

• Both

• None

Answer explanation

Triangles B and C are not similar to triangle A, as they do not have the same shape or proportional sides. Therefore, the correct answer is 'None'.

Are the triangles similar?

• Yes

• No

Answer explanation

The triangles are not similar because they do not have the same shape or proportional sides. Similar triangles must have corresponding angles equal and sides in proportion, which is not the case here.

Find the measure of the indicated angle. 

• 145 degrees

• 24 degrees

• 20 degrees 

• 21 degrees

Answer explanation

To find the indicated angle, we can use the properties of angles in a triangle or other geometric relationships. The correct measure is 20 degrees, as it fits the criteria given in the problem.

If <a = 63* and <b = 88*, what is the measure of <c?

• 29*

• 30*

• 90*

• 180*

Answer explanation

To find the measure of angle c, we use the fact that the sum of angles in a triangle is 180 degrees. Thus, c = 180 - (63 + 88) = 180 - 151 = 29 degrees.

Which is NOT true about similar triangles.

• The angles in the triangles are congruent to each other.

• The sides are proportional to each other.

• The angles in each triangle add up to 180^o.

• The triangles must have at least one side that is the same length.

Answer explanation

The statement that triangles must have at least one side that is the same length is NOT true for similar triangles. Similar triangles have proportional sides and congruent angles, but they do not need to share any side lengths.

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o

Answer explanation

To find angle b, we can use the properties of angles in a triangle or other geometric relationships. Given the options, 36° is the only value that fits the criteria based on the calculations or relationships provided.

Find side length X.

• 30

• 25

• 15

• 40

Answer explanation

To find side length X, we can use the properties of the shape involved. Given the options, 25 is the only value that fits the criteria based on the calculations or relationships defined in the problem.