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Triangle Congruence: SAS

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Jul 11th, 2023
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13 test answers
question
Which rigid transformation would map ΔAQR to ΔAKP?
answer
a rotation about point A
question
How can ΔWXY be mapped to ΔMNQ? Translate vertex W to vertex M, then reflect across the line containing _______________.
answer
WY
question
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?
answer
A
question
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?
answer
D
question
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?
answer
a rotation about point A
question
Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?
answer
a reflection across the line containing HK
question
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
answer
Translate K to M and rotate about K until HK lies on the line containing LM.
question
Which of these triangle pairs can be mapped to each other using a single translation?
answer
B
question
Which of these triangle pairs can be mapped to each other using a single reflection?
answer
A
question
In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?
answer
∠K ≅ ∠N
question
If bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.
answer
m∠ABC = 125° and AB ≅ DB, ΔABD is isosceles with base AD, CD = 52 cm
question
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
answer
No, the sides of the triangles intersect.
question
Triangles RQS and NTV have the following characteristics:• Right angles at ∠Q and ∠T • RQ ≅ NT
answer
No, it is not possible for the triangles to be congruent.
1 of 13
question
Which rigid transformation would map ΔAQR to ΔAKP?
answer
a rotation about point A
question
How can ΔWXY be mapped to ΔMNQ? Translate vertex W to vertex M, then reflect across the line containing _______________.
answer
WY
question
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about C?
answer
A
question
Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line containing AB?
answer
D
question
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?
answer
a rotation about point A
question
Two rigid transformations are used to map ΔHJK to ΔLMN. The first is a translation of vertex H to vertex L. What is the second transformation?
answer
a reflection across the line containing HK
question
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
answer
Translate K to M and rotate about K until HK lies on the line containing LM.
question
Which of these triangle pairs can be mapped to each other using a single translation?
answer
B
question
Which of these triangle pairs can be mapped to each other using a single reflection?
answer
A
question
In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by SAS?
answer
∠K ≅ ∠N
question
If bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.
answer
m∠ABC = 125° and AB ≅ DB, ΔABD is isosceles with base AD, CD = 52 cm
question
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
answer
No, the sides of the triangles intersect.
question
Triangles RQS and NTV have the following characteristics:• Right angles at ∠Q and ∠T • RQ ≅ NT
answer
No, it is not possible for the triangles to be congruent.