Quiz about Congruence

Question 1

Leslie was able to map $$\overline{S T}$$ onto $$\overline{Q R}$$ using a rotation and dilation.

![](http://admin.getprephub.com/media/editor/con1_20230131180552648083.png)

Leslie concluded:

"I was able to map $$\overline{S T}$$ onto $$\overline{Q R}$$ using a sequence of rigid transformations, so the figures are congruent.

What error did Leslie make in her conclusion?

Accepted Answer

Covalent bond

Answer

Leslie didn't use only rigid transformations, so the figures are not congruent.

Answer

It's possible to map $$\overline{S T}$$ onto $$\overline{Q R}$$ using a sequence of rigid transformations, but the figures are not congruent.

Answer

There is no error. This is a correct conclusion.

Answer

None of the above.

Question 2

Amad was curious if triangles $$	riangle A B C$$ and $$	riangle E D F$$ were congruent. He was able to map one figure onto the other using a reflection and a rotation.

![](http://admin.getprephub.com/media/editor/con3_20230131180809780995.png)

Amad concluded:

"I was able to map $$	riangle A B C$$ onto $$	riangle E D F$$ using a sequence of rigid transformations, so the figures are congruent." What error did Amad make in his conclusion?

Accepted Answer

Covalent bond

Answer

There is no error. This is a correct conclusion.

Answer

Amad didn't use only rigid transformations, so the figures are not congruent.

Answer

It's possible to map $$	riangle A B C$$ onto $$	riangle E D F$$ using a sequence of rigid transformations, but the figures are not congruent.

Answer

none of the above

Question 3

Kelsey was curious if $$	riangle A B C$$ was congruent to $$	riangle F E D$$, so she tried to map one triangle onto the other using transformations:

![](http://admin.getprephub.com/media/editor/con4_20230131180831713786.png)

Kelsey concluded:

"It's not possible to map $$	riangle A B C$$ onto $$	riangle F E D$$ using a sequence of rigid transformations, so the triangles are not congruent."

What error did Kelsey make in her conclusion?

Accepted Answer

Covalent bond

Answer

One more transformation - a reflection - would map $$	riangle A B C$$ onto $$	riangle F E D$$ . So the triangles are congruent.

Answer

One more transformation - a rotation - would map $$	riangle A B C$$ onto $$	riangle F E D$$. So the triangles are congruent.

Answer

There is no error. This is a correct conclusion.

Answer

None of the above

Question 4

Consider the two triangles shown below.

![](http://admin.getprephub.com/media/editor/con5_20230131180929563730.png)

Are the two triangles congruent?

Accepted Answer

Covalent bond

Answer

Yes

Answer

No

Question 5

Consider the two triangles shown below.
![](http://admin.getprephub.com/media/editor/con8_20230131183249719366.png)

Are the two triangles congruent?

Accepted Answer

Covalent bond

Answer

There is not enough information to say

Answer

No

Answer

Yes

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 for High School Geometry preparation.