Quiz about Congruence

Question 1

In quadrilateral $$A B C D, \overline{A B} \cong \overline{C D}$$ and $$\overline{B C} \cong \overline{A D}$$, as shown.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-08%20at%206.23.02%20PM_20230808162324202514.png)

Select the correct statement to complete the proof showing that $$	riangle A B C \cong 	riangle C D A$$

Accepted Answer

Covalent bond

Answer

$$\overline{A C} \cong \overline{C A}$$

Answer

$$\overline{A B} \cong \overline{A D}$$

Answer

$$ \angle A B C \cong \angle C D A$$

Answer

$$\angle B A C \cong \angle A C D$$

Question 2

Triangle $$PQR$$ is shown, where $$S T$$ is parallel to $$R Q$$.

![](http://admin.getprephub.com/media/editor/gp21_20230225211656883271.png)

Marta wants to prove that $$\frac{S R}{P S}$$.

Choose the correct option or reason in the blank box to complete Marta's proof.

![](http://admin.getprephub.com/media/editor/gp21s_20230225211708372526.png)

Accepted Answer

Covalent bond

Answer

Corresponding sides of similar triangles are proportional.

Answer

{ASA similarity}

Answer

SSS similarity

Answer

Corresponding sides of similar triangles are congruent.

Question 3

Two parallel lines, $$a$$ and $$b$$, are cut by a transversal $$c$$ as shown.

![](http://admin.getprephub.com/media/editor/t7_20230225220439220578.png)
Choose the correct statement or reason to each blank in the table to complete the proof that $$<1 \cong <7$$.

![](http://admin.getprephub.com/media/editor/t7s_20230225220454253299.png)

Accepted Answer

Covalent bond

Answer

Alternate interior angles formed by parallel lines are congruent

Answer

Vertical angles are congruent

Answer

Reflexive property

Answer

Definition of supplementary angles

Question 4

A parallelogram and incomplete proof are shown.

![](http://admin.getprephub.com/media/editor/d10_20230225223908180293.png)

Given: $$WXYZ$$ is a parallelogram.

Prove: $${W X} \cong {Y} Z$$

Choose the correct reason in the table to complete the proof.

![](http://admin.getprephub.com/media/editor/d10s_20230225223923718404.png)

Accepted Answer

Covalent bond

Answer

Corresponding parts of congruent triangles are congruent.

Answer

Corresponding parts of congruent triangles are similar.

Answer

Corresponding angles are congruent.

Answer

Angle addition postulate

Question 5

Triangle $$\Delta {YWX}$$ is shown.

![](http://admin.getprephub.com/media/editor/d16_20230225225030763874.png)

Given: $$\overline{\overline{W Y}} \cong \overline{\overline{W X}},: \overline{\overline{Z Y}} \cong \overline{\overline{Z X}}$$

Prove: $$\overline{\overline{W Z}}$$ bisects $$<Y {WX}$$

Choose the correct statements and reasons in the blank box to complete the proof.

![](http://admin.getprephub.com/media/editor/d16s_20230225225044232171.png)

Accepted Answer

Covalent bond

Answer

Definition of angle bisector

Answer

Corresponding parts of similar triangles are congruent.

Answer

Reflexive prpperty

Answer

substitution

Ohio State Congruence High School Geometry Maths Problems and Solutions

Many students find Congruence for High School Geometry particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Congruence from Ohio State for High School Geometry preparation.