Quiz: Angle-Side Relationship Theorem Quiz


Angle-Side Relationship Theorem QuizOnline version Test your knowledge on the Angle-Side Relationship Theorem with these 10 questions! by Mark Masloski 1 What is the Angle-Side Relationship Theorem? a It states that in a triangle, if two sides are proportional to two sides of another triangle, then the angles opposite those sides are congruent. b It states that in a triangle, if two angles are congruent to two angles of another triangle, then the sides adjacent to those angles are proportional. c It states that in a triangle, if two angles are congruent to two angles of another triangle, then the sides opposite those angles are proportional. d It states that in a triangle, if two sides are proportional to two sides of another triangle, then the included angles are congruent. 2 What does the Angle-Side Relationship Theorem imply about the angles of similar triangles? a The angles opposite the proportional sides are supplementary. b The angles adjacent to the proportional sides are supplementary. c The angles adjacent to the proportional sides are congruent. d The angles opposite the proportional sides are congruent. 3 If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded? a The sides opposite angles B and E are proportional. b The sides adjacent to angles B and E are proportional. c The sides opposite angles A and D are proportional. d The sides adjacent to angles A and D are proportional. 4 If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded? a Angle A is congruent to angle D. b Angle B is congruent to angle E. c Angle A is supplementary to angle D. d Angle B is supplementary to angle E. 5 In triangle ABC, if angle A is congruent to angle B, what can be concluded? a Side AC is congruent to side BC. b Side AB is proportional to side BC. c Side AC is proportional to side BC. d Side AB is congruent to side BC. 6 If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded? a Side AC is congruent to side DF. b Side AC is proportional to side DF. c Side BC is proportional to side DE. d Side BC is congruent to side DE. 7 If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded? a Angle B is congruent to angle E. b Angle C is congruent to angle F. c Angle B is supplementary to angle E. d Angle C is supplementary to angle F. 8 In triangle ABC, if angle A is congruent to angle B, what can be concluded? a Angle C is congruent to angle B. b Angle C is supplementary to angle B. c Angle C is congruent to angle A. d Angle C is supplementary to angle A. 9 If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded? a Side BC is congruent to side EF. b Side AC is congruent to side DE. c Side AC is proportional to side DE. d Side BC is proportional to side EF. 10 If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded? a The ratios of the corresponding angles are proportional. b The ratios of the corresponding sides are proportional. c The ratios of the corresponding angles are equal. d The ratios of the corresponding sides are equal.

1

What is the Angle-Side Relationship Theorem?

a

It states that in a triangle, if two sides are proportional to two sides of another triangle, then the angles opposite those sides are congruent.

b

It states that in a triangle, if two angles are congruent to two angles of another triangle, then the sides adjacent to those angles are proportional.

c

It states that in a triangle, if two angles are congruent to two angles of another triangle, then the sides opposite those angles are proportional.

d

It states that in a triangle, if two sides are proportional to two sides of another triangle, then the included angles are congruent.

2

What does the Angle-Side Relationship Theorem imply about the angles of similar triangles?

a

The angles opposite the proportional sides are supplementary.

b

The angles adjacent to the proportional sides are supplementary.

c

The angles adjacent to the proportional sides are congruent.

d

The angles opposite the proportional sides are congruent.

3

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?

a

The sides opposite angles B and E are proportional.

b

The sides adjacent to angles B and E are proportional.

c

The sides opposite angles A and D are proportional.

d

The sides adjacent to angles A and D are proportional.

4

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

a

Angle A is congruent to angle D.

b

Angle B is congruent to angle E.

c

Angle A is supplementary to angle D.

d

Angle B is supplementary to angle E.

5

In triangle ABC, if angle A is congruent to angle B, what can be concluded?

a

Side AC is congruent to side BC.

b

Side AB is proportional to side BC.

c

Side AC is proportional to side BC.

d

Side AB is congruent to side BC.

6

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

a

Side AC is congruent to side DF.

b

Side AC is proportional to side DF.

c

Side BC is proportional to side DE.

d

Side BC is congruent to side DE.

7

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?

a

Angle B is congruent to angle E.

b

Angle C is congruent to angle F.

c

Angle B is supplementary to angle E.

d

Angle C is supplementary to angle F.

8

In triangle ABC, if angle A is congruent to angle B, what can be concluded?

a

Angle C is congruent to angle B.

b

Angle C is supplementary to angle B.

c

Angle C is congruent to angle A.

d

Angle C is supplementary to angle A.

9

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

a

Side BC is congruent to side EF.

b

Side AC is congruent to side DE.

c

Side AC is proportional to side DE.

d

Side BC is proportional to side EF.

10

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?

a

The ratios of the corresponding angles are proportional.

b

The ratios of the corresponding sides are proportional.

c

The ratios of the corresponding angles are equal.

d

The ratios of the corresponding sides are equal.

Angle-Side Relationship Theorem Quiz

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Angle-Side Relationship Theorem Quiz

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Angle-Side Relationship Theorem QuizOnline version

by Mark Masloski

What is the Angle-Side Relationship Theorem?

What does the Angle-Side Relationship Theorem imply about the angles of similar triangles?

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

In triangle ABC, if angle A is congruent to angle B, what can be concluded?

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?

In triangle ABC, if angle A is congruent to angle B, what can be concluded?

If triangle ABC is similar to triangle DEF, and side AB is proportional to side DE, what can be concluded?

If triangle ABC is similar to triangle DEF, and angle A is congruent to angle D, what can be concluded?