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Lesson: Identifying Similar Triangles

When two triangles have the same shape but different size, they are called similar triangles. In this lesson, we will study postulates and theorems to learn how to use them to identify and prove that triangles are similar.

Worksheet: Identifying Similar Triangles • 22 Questions

Q1:

Which of the following properties is enough to conclude that two triangles are similar?

AOne corresponding side and one corresponding angle are equal.
BAll corresponding angles have the same ratio.
CThey have the same measure of angles.
DTwo corresponding sides have the same ratio.
EThey both contain a right angle.

Q2:

Two triangles are similar. What will be true of the lengths of the corresponding sides of both triangles?

AOnly two corresponding sides will be equal.
BThey will be in a constant ratio.
CIf the angles are equal, the sides will be equal.
DThey will be equal.

Q3:

If all of the corresponding angles in two triangles have equal measures, are the two triangles similar?

Ayes
Bno

Q4:

Two triangles are similar. What will be true of the measures of the corresponding angles in the two triangles?

AOnly two corresponding angles will be equal.
BIf the sides are equal, the angles will be equal.
CThey will be equal.
DOnly two corresponding angles will be equal.
EThey will be different.

Q5:

Two triangles have corresponding angles that have equal measures. Will a series of similarity transformations exist that will map one triangle to the other?

Ayes
Bno

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