Incenter and Circumcenter Answers

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1
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Which congruency statement is correct?

A
LMNO ≅ L'M'N'O'
B
LMNO ≅ O'M'N'L'
C
ONML ≅ M'O'N'L'
D
ONML ≅ O'M'N'L'
3

Which combinations of transformations will always produce congruent figures? Check all that apply.a dilation, followed by a rotationa reflection, followed by a dilationa rotation, followed by a translationa translation, then a rotation, followed by a stretcha translation, followed by two reflections

A
a dilation, followed by a rotation
B
a reflection, followed by a dilation
C
a rotation, followed by a translation
D
a translation, then a rotation, followed by a stretch
E
a translation, followed by two reflections
4

Are ΔDEF and ΔRPQ congruent?

A
Yes. ΔDEF can be mapped to ΔRPQ by a reflection across the x-axis followed by a translation 2 units left.
B
Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.
C
No. ΔDEF cannot be mapped to ΔRPQ by a rigid transformation or combination of rigid transformations.
6

What is the area of △MNP?

A
40 m2
B
60 m2
C
68 m2
D
127.5 m2
7

Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.Rigid transformations preserve segment lengths and angle measures.Rigid transformations produce congruent figures.If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

A
Rigid transformations preserve segment lengths and angle measures.
B
Rigid transformations produce congruent figures.
C
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

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