Combination of Rigid Motion Transformations

A transformation that preserves distances and angle measurements is called a(n):

• Dilation

• Rigid motion

• Heterogeneous transformation

• Alteration

Answer explanation

A transformation that preserves distances and angles is known as a rigid motion. This includes translations, rotations, and reflections, which maintain the shape and size of geometric figures.

Tags

CCSS.HSG.CO.A.2

Which of the following is NOT a rigid motion?

• Dilation

• Translation

• Rotation

• Reflection

Answer explanation

Dilation is not a rigid motion because it changes the size of a figure, while translation, rotation, and reflection preserve the shape and size of the figure.

Tags

CCSS.HSG.CO.B.6

Match each of the following descriptions with the correct transformation

• Dilation

• A rigid motion that spins an image about a point

• Reflection

• A rigid motion that creates a mirror image on the opposite side of a line or point

• Translation

• A transformation that enlarges or shrinks an image while maintaining a similar image

• Rotation

• A rigid motion that shifts a figure by a certain direction and distance.

Tags

CCSS.HSG.CO.B.6

Match the following images with the corresponding transformation

• Reflection

• 
• Rotation

• 
• Dilation

• 
• Translation

• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Tags

CCSS.8.G.A.2

Mathematical Equivalence

OFF

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle CAT is congruent to Triangle DOG by a rotation. Identify the missing measurements using corresponding parts.

b

c

d

e

f

12 cm

60 °

9 cm

15 cm

85 °

35 °

Tags

CCSS.HSG.CO.B.7