Fill in the blank: To prove that the triangles are congruent by SSS we would need to know that __________ __________ is congruent to __________ __________.
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Question 1
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If the triangles are congruent, fill in the blank to write a congruence statement. If not, write not congruent.
Triangle NAV is congruent to triangle ________.
Question 2
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Question 3
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Question 4
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If the triangles are congruent, fill in the blank to write a congruence statement. If not, write not congruent.
Triangle CWZ is congruent to triangle ________.
Question 5
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Question 6
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Question 7
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If the triangles are congruent, fill in the blank to write a congruence statement. If not, write not congruent.
Triangle TPQ is congruent to triangle ________.
Question 8
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Question 9
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Question 10
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If the triangles are congruent, fill in the blank to write a congruence statement. If not, write not congruent.
Triangle PQR is congruent to triangle ________.
Question 11
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Question 12
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Question 13
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If the triangles are congruent, fill in the blank to write a congruence statement. If not, write not congruent.
Triangle CBA is congruent to triangle ________.
Question 14
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Question 15
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Question 16
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Question 17
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Fill in the blank to complete the triangle congruence statement:
Triangle BAC is congruent to triangle _______.
Question 18
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Is triangle ABC congruent to triangle GHJ? Explain your answer.
Question 19
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Question 21
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Fill in the blank: To prove that the triangles are congruent by SAS we would need to know that __________ __________ is congruent to __________ __________.
What additional information would be necessary to prove the triangles congruent by SSS?
A. Angle NVA is congruent to angle FVS.
B. Segment NA is congruent to segment FS.
C. Angle A is congruent to angle S.
D. Angle N is congruent to angle F.
E. The triangles are already congruent SSS.
F. A, B, C, and D all would prove the triangles congruent by SSS.
What additional information would be necessary to prove the triangles congruent by SAS?
A. Angle NVA is congruent to angle FVS.
B. Segment NA is congruent to segment FS.
C. Angle A is congruent to angle S.
D. Angle N is congruent to angle F.
E. The triangles are already congruent SAS.
F. A, B, C, and D all would prove the triangles congruent by SAS.
What additional information would be necessary to prove the triangles congruent by SSS?
A. Angle CWZ is congruent to angle YWX.
B. Angle Y is congruent to angle C.
C. Angle Z is congruent to angle X.
D. The triangles are already congruent SSS.
What additional information would be necessary to prove the triangles congruent by SAS?
A. Angle CWZ is congruent to angle YWX.
B. Angle Y is congruent to angle C.
C. Angle Z is congruent to angle X.
D. The triangles are already congruent SAS.
F. A, B, and C all would prove the triangles congruent by SAS.
What additional information would be necessary to prove the triangles congruent by SSS?
A. Angle TQP is congruent to angle SQR.
C. Angle P is congruent to angle R.
D. Angle T is congruent to angle S.
E. The triangles are already congruent SSS.
F. A, B, and C all would prove the triangles congruent by SSS.
What additional information would be necessary to prove the triangles congruent by SAS?
A. Angle TQP is congruent to angle SQR.
C. Angle P is congruent to angle R.
D. Angle T is congruent to angle S.
E. The triangles are already congruent SAS.
F. A, B, and C all would prove the triangles congruent by SAS.
What additional information would be necessary to prove the triangles congruent by SSS?
A. Segment QR is congruent to segment SR.
B. Segment PR is congruent to segment PR.
C. The triangles are already congruent SSS.
D. A and B both would prove the triangles congruent by SSS.
What additional information would be necessary to prove the triangles congruent by SAS?
A. Angle PRS is congruent to angle PRQ.
B. Angle S is congruent to angle Q.
C. Segment PR is congruent to segment PR.
D. The triangles are already congruent SAS.
E. A, B, and C all would prove the triangles congruent by SAS.
What additional information would be necessary to prove the triangles congruent by SSS?
A. Segment CA is congruent to segment DE.
B. Angle C is congruent to angle D.
C. Angle B is congruent to angle F.
D. The triangles are already congruent by SSS.
E. A, B, and C both would prove the triangles congruent by SSS.
What additional information would be necessary to prove the triangles congruent by SAS?
A. Segment CA is congruent to segment DE.
B. Angle C is congruent to angle D.
C. Angle B is congruent to angle F.
D. The triangles are already congruent by SAS.
E. A, and C both would prove the triangles congruent by SAS.
Select all transformations below that would be necessary to map one triangle onto the other.
Translate figure ABC along directed line XA.
Translate figure ABC along directed line segment AX.
Translate figure ABC along directed line segment CY.
Rotate until B 'coincides with Z.
Rotate until C' coincides with Z.
Rotate until A' coincides with X.
Reflect across line XZ.
Reflect across line XY.
Reflect across line ZY.
Which of the following is the correct answer and explanation regarding triangle ACE being isosceles?
It's not necessarily isoceles; CA doesn't have to be the same length as CE because we have no congruent triangles.
It's not necessarily isosceles; AE is shorter than both CA and CE.
It's not necessarily isosceles; only triangles ABC and EDC are isoscles.
It's isosceles; triangles ABC and EDC are congruent by SAS.
It's isosceles; triangles ABC and EDC are congruent and AC and CE are congruent.
It's isosceles; AE, AB, BC, CD, and DE are all congruent, so AC and EC are also.