Angle Angle Criterion of Similar Triangles

What is the criteria for proving that two triangles are similar?

• They have the same area

• They have the same perimeter

• Corresponding angles are congruent and corresponding sides are in

  proportion

• They have the same interior angles

Tags

CCSS.HSG.SRT.A.2

If two angles of one triangle are equal to two angles of another triangle, what is the criterion used to prove the triangles similar?

• Side-Side (SS) similarity theorem

• Angle-Side-Angle (ASA) similarity theorem

• Angle-Angle (AA) similarity theorem

• Side-Angle-Side (SAS) similarity theorem

Tags

CCSS.HSG.SRT.B.5

In similar triangles, if the ratio of the corresponding sides is 3:5, and one side of the first triangle is 15, what is the length of the corresponding side in the second triangle?

• 10

• 20

• 30

• 25

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar, and the ratio of their corresponding sides is 2:3, what is the ratio of their corresponding angles?

• 1:2

• 4:5

• 2:3

• 3:4

Tags

CCSS.HSG.SRT.A.2

In triangle ABC, if angle A is 50 degrees and angle B is 70 degrees, what is the measure of angle C if the triangle is similar to triangle DEF where angle D is 40 degrees?

• 60 degrees

• 80 degrees

• 45 degrees

• 30 degrees

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar, and the ratio of their corresponding sides is 4:7, and the length of one side of the first triangle is 12, what is the length of the corresponding side in the second triangle?

• 28

• 35

• 42

• 21

Tags

CCSS.HSG.SRT.A.2

In similar triangles, if the ratio of the corresponding sides is 2:5, and one side of the first triangle is 10, what is the length of the corresponding side in the second triangle?

• 15

• 25

• 20

• 30

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar, and the ratio of their corresponding sides is 3:4, and the length of one side of the first triangle is 18, what is the length of the corresponding side in the second triangle?

• 12

• 30

• 15

• 24

Tags

CCSS.HSG.SRT.A.2

In triangle PQR, if angle P is 60 degrees and angle Q is 40 degrees, what is the measure of angle R if the triangle is similar to triangle XYZ where angle X is 80 degrees?

• 90

• 100

• 80

• 120

Tags

CCSS.HSG.SRT.A.2

If two triangles are similar, and the ratio of their corresponding sides is 5:8, what is the ratio of their corresponding angles?

• 7:9

• 3:4

• 5:8

• 1:2

Tags

CCSS.HSG.SRT.A.2