Question 1

Question

A)
Use the image to answer the question.

Two triangles, D E F and A double prime B double prime C double prime, are shown.

To show how AAS follows from the definition of congruence, answer the following question. What rigid transformation maps △A"B"C"→△DEF?

(1 point)
Responses

translation
translation

reflection
reflection

rotation
rotation

dilation
dilation
Question 2
A)
Use the image to answer the question.

2 triangles, upper A upper B upper C and upper C upper D upper E are shown. Both share vertex upper C. Sides upper B upper C and upper C upper D are congruent. Angles upper A and upper E are congruent. Angle upper C is congruent in both the triangles.

What single rigid transformation maps △ABC→△EDC?

(1 point)
Responses

rotation
rotation

reflection
reflection

translation
translation

dilation
dilation
Question 3
A)
Use the image to answer the question.

Two similarly shaped and oriented triangles, upper A upper B upper C and upper D upper E upper F are marked for congruence.

Is △ABC≅△DFE by AAS Theorem?

(1 point)
Responses

No. The ASA Theorem is used.
No. The ASA Theorem is used.

Yes. BC¯¯¯¯¯¯¯¯≅FE¯¯¯¯¯¯¯¯.
Yes. Modifying above upper B upper C with bar congruent to Modifying above upper F upper E with bar .

Yes. The AAS Theorem is used.
Yes. The AAS Theorem is used.

No. DE¯¯¯¯¯¯¯¯ does not correspond to BC¯¯¯¯¯¯¯¯.
No. Modifying above upper D upper E with bar does not correspond to Modifying above upper B upper C with bar .
Question 4
A)
Use the image to answer the question.

Two triangles are next to each other: upper B upper I upper G and upper C upper O upper W. Single and double arcs are used to indicate congruent angles.

Using the AAS Congruence Theorem, what other information proves ΔBIG≅ΔCOW?

(1 point)
Responses

GB¯¯¯¯¯¯¯¯≅WC¯¯¯¯¯¯¯¯¯
Modifying above upper G upper B with bar congruent to Modifying above upper W upper C with bar

∠I≅∠O
angle upper I congruent to angle upper O

BI¯¯¯¯¯¯≅CO¯¯¯¯¯¯¯¯
Modifying above upper B upper I with bar congruent to Modifying above upper C upper O with bar

BG¯¯¯¯¯¯¯¯≅CW¯¯¯¯¯¯¯¯¯
Modifying above upper B upper G with bar congruent to Modifying above upper C upper W with bar
Question 5
A)
Use the image to answer the question.

Triangle upper L upper A upper F and triangle upper N upper O upper W are next to each other. The sides of the triangles are labeled, and tick marks and arcs are used to show congruent sides and angles.

If ΔLAF≅ΔNOW, find the length of LF¯¯¯¯¯¯¯.

(1 point)
Responses

12
12

3
3

7

Answer 1

Question 1

What rigid transformation maps \( \triangle A''B''C'' \to \triangle DEF \)?

Response:

• Translation

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Question 2

What single rigid transformation maps \( \triangle ABC \to \triangle EDC \)?

Response:

• Rotation

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Question 3

Is \( \triangle ABC \cong \triangle DFE \) by AAS Theorem?

Response:

• Yes. The AAS Theorem is used.

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Question 4

Using the AAS Congruence Theorem, what other information proves \( \Delta BIG \cong \Delta COW \)?

Response:

• ∠I≅∠O

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Question 5

If \( \Delta LAF \cong \Delta NOW \), find the length of \( LF \).

Response:

• 12

(Note: The answer provided for Question 5 assumes the triangles are congruent, thus the corresponding sides are equal.)