Exploring Rigid Motions and 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

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

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.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

CCSS.HSG.SRT.A.1

Match each of the following descriptions with the correct transformation

• Reflection

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

• Dilation

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

• Translation

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

• Rotation

• A rigid motion that spins an image about a point

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Match the following images with the corresponding transformation

• Translation

• 
• Rotation

• 
• Dilation

• 
• Reflection

• 

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Tags

CCSS.HSG.CO.B.6

Mathematical Equivalence

OFF

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

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

b

c

d

e

f

35 °

12 cm

85 °

15 cm

60 °

9 cm

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5