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Rigid Transformation & Congruence Practice
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Practice Page
Directions: Read each question carefully and examine the diagrams. Choose the best answer.
1.
Which rigid transformation(s) will verify that ΔABC is congruent to ΔDEF as shown at the right?

Choose:
a translation only
a rotation only
a reflection only
a reflection and a translation
pf2rmpic

 

 

2.
Which rigid transformation will verify that ΔABC is congruent to ΔDEF as shown at the right?

Choose:
a reflection in the y-axis
a reflection in the x-axis
a translation T0,-4
a rotation of 180º
rmpic2

 

 

3.
Which rigid transformation(s) will verify that ΔABC is congruent to ΔDEF as shown at the right?

Choose:
a reflection in the y-axis
a translation T5,3
a combination rmpic3math
a translation T2,3
rmpic3

 

 

4.
Given a straight segment from A, through T, to O. Which rigid transformation(s) will verify that ΔCAT is congruent to ΔBOT as shown at the right?
pf5armpic
 
Choose:
a translation
a reflection
a rotation
they are not congruent

 

 

5.
Which rigid transformation(s) will verify that ΔABC is congruent to ΔDFE as shown at the right?

Choose:
a reflection in the y-axis
a translation T-1,-1
a rotation of 90º about the origin
a combination rigidmotion5combo1
rmpic3

 

 

6.
Given the triangles shown at the right. Which rigid transformation will verify that ΔADB is congruent to ΔADC?

Choose:
a translation
a reflection
a rotation
they are not congruent
rmpic6

 

 

7.
Given the triangles shown at the right. Which rigid transformation will verify that ΔABC is congruent to ΔDEF?

Choose:
translation (x, y)→(x - 4,y + 3)
reflection over the y-axis
rotation of 90º about origin
translation (x, y)→(x + 4,y + 3)
rm7pic

 

 

8.
Given the triangles shown at the right. Which rigid transformation(s) will verify that ΔABC is congruent to ΔDEF?
Choose:
translation
reflection
rotation
translation and reflection

rmpic8

 

 

9.
Given the triangles shown at the right. Which rigid transformation will verify that ΔABC is congruent to ΔDEF?

Choose:
translation (x, y)→(x + 3, y - 5)
reflection over the y-axis
rotation of 90º about origin
translation (x, y)→(x + 1,y - 3)
rm7pic

 

 

10.
Given the quadrilaterals shown at the right. Which rigid transformation will verify that quadrilateral PART is congruent to quadrilateral HGFE?

Choose:
combination: rm10m2
combination: rm10m3
combination: rm10m4
combination: rm10m1
rm10pic

 


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