
Proving Congruent Figures using Rigid Motions
Mathematics
9th - 12th Grade
CCSS covered
Used 3+ times

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25 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
In the figure below, △ ABC ≅△ A'B'C'. Which transformation maps △ ABC onto △ A'B'C'?
Reflect △ ABC in the x-axis.
Translate △ ABC 3 units left and 6 units down.
Reflect △ ABC in the y-axis, then rotate it 90° counterclockwise about the origin.
Rotate △ ABC 180° counterclockwise about the origin.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which best explains whether or not ΔABC ≅ ΔLMN?
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
The figures are not congruent because point B corresponds with point N and point C corresponds with point M.
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Use rigid motions to explain why ∆ABC ≅ ∆XZY. #42
If ∆ABC is rotated around the origin 180 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.
If ∆ABC is translated, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.
If ∆ABC is reflected across the y-axis, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.
If ∆ABC is rotated around the origin 90 degrees, it will map to ∆XYZ. Since Rotations preserve shape and size, the triangles are congruent.
Tags
CCSS.HSG.CO.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do rigid motions create figures that are congruent?
They change the shape
They change the size
They keep the shape and size the same
they change the size and shape
Tags
CCSS.HSG.CO.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a reflection followed by a rotation
a reflection followed by a translation
a translation followed by a rotation
a translation followed by a reflection
Tags
CCSS.8.G.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 5 pts
What symbol do we use for congruence?
Tags
CCSS.8.G.A.2
7.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
△TRY≅△LIE.
So, there is a sequence of rigid motions that takes TRY to LIE.
Select all true statements.
Tags
CCSS.HSG.CO.B.6
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