uestion 1

Question

A)What does the SSS Congruence Theorem say?(1 point)
Responses

If a polygon has three sides, then it is a triangle.
If a polygon has three sides, then it is a triangle.

If two triangles have three pairs of sides, then the triangles are congruent.
If two triangles have three pairs of sides, then the triangles are congruent.

If two triangles have three pairs of congruent sides, then the triangles are congruent.
If two triangles have three pairs of congruent sides, then the triangles are congruent.

If a triangle has three congruent sides, then it is equilateral.
If a triangle has three congruent sides, then it is equilateral.
Question 2
A)
Use the image to answer the question.

Two congruent triangles with different orientations are side by side. Their corresponding congruent sides are marked.

Bella wants to use rigid transformations to show that △GHI≅△LKJ to illustrate the SSS triangle congruence criterion. Which of the following could she do first?

(1 point)
Responses

Translate △GHI along a vector that takes point I to point K.
Translate triangle upper G upper H upper I along a vector that takes point upper I to point upper K .

Translate △GHI along a vector that takes point G to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper L .

Translate △GHI along a vector that takes point I to point L.
Translate triangle upper G upper H upper I along a vector that takes point upper I to point upper L .

Translate △GHI along a vector that takes point G to point J.
Translate triangle upper G upper H upper I along a vector that takes point upper G to point upper J .
Question 3
A)Which of the following pairs of triangles are congruent by the SSS Congruence Theorem?(1 point)
Responses

An illustration shows two similar triangles. Two sides and one angle of each triangle are marked as congruent.
Image with alt text: An illustration shows two similar triangles. Two sides and one angle of each triangle are marked as congruent.

An illustration shows two similar triangles. The corresponding sides of both the triangles are marked as congruent.
Image with alt text: An illustration shows two similar triangles. The corresponding sides of both the triangles are marked as congruent.

An illustration shows two similar triangles. One side and two angles of each triangle are marked as congruent.
Image with alt text: An illustration shows two similar triangles. One side and two angles of each triangle are marked as congruent.

An illustration shows two similar triangles. One corresponding side and two angles of each triangle are marked as congruent.
Image with alt text: An illustration shows two similar triangles. One corresponding side and two angles of each triangle are marked as congruent.
Question 4
A)
Use the image to answer the question.

An illustration shows a horizontal parallelogram divided into two triangles.

What additional piece of information would you need to be able to state that △KLM≅△MNK by the SSS Congruence Theorem?

(1 point)
Responses

NL¯¯¯¯¯¯¯¯≅KM¯¯¯¯¯¯¯¯¯¯
Modifying above upper N upper L with bar congruent to Modifying above upper K upper M with bar

KM¯¯¯¯¯¯¯¯¯¯≅KN¯¯¯¯¯¯¯¯¯
Modifying above upper K upper M with bar congruent to Modifying above upper K upper N with bar

KL¯¯¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯¯¯
Modifying above upper K upper L with bar congruent to Modifying above upper L upper M with bar

KL¯¯¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯¯¯¯
Modifying above upper K upper L with bar congruent to Modifying above upper M upper N with bar
Question 5
A)
Use the image to answer the question.

An illustration shows two congruent triangles in different orientations. Three corresponding sides are marked as congruent.

Are the triangles congruent? If so, write a congruence statement and reason why.

(1 point)
Responses

Yes, △ABC≅△LMN by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper M upper N by the SSS Congruence Theorem.

Yes, △ABC≅△LNM by the SSS Congruence Theorem.
Yes, triangle upper A upper B upper C congruent to triangle upper L upper N upper M by the SSS Congruence Theorem.

No, the triangles are not congruent.

Answer 1

Here are the answers to your questions based on the SSS Congruence Theorem:

Question 1: A) What does the SSS Congruence Theorem say?
Response: If two triangles have three pairs of congruent sides, then the triangles are congruent.

Question 2: A) Which of the following could Bella do first to show that △GHI≅△LKJ?
Response: Translate △GHI along a vector that takes point G to point L.

Question 3: A) Which of the following pairs of triangles are congruent by the SSS Congruence Theorem?
Response: An illustration shows two similar triangles. The corresponding sides of both triangles are marked as congruent.

Question 4: A) What additional piece of information would you need to be able to state that △KLM≅△MNK by the SSS Congruence Theorem?
Response: KL¯¯¯¯¯¯¯¯≅LM¯¯¯¯¯¯¯¯¯.

Question 5: A) Are the triangles congruent? If so, write a congruence statement and reason why.
Response: Yes, △ABC≅△LMN by the SSS Congruence Theorem.

These answers should accurately reflect the understanding of the SSS Congruence Theorem in geometry.