Rigid Motion and Congruence

When a Preimage is mapped onto an image, the figures are

• Corresponding

• Congruent

• Dilated

• Rotated

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Corresponding Parts

• a mapping of each angle and side form one figure onto a congruent figure

• Angles that are closest together

• Sides that are closest together

• The longest sides of two figures.

Tags

CCSS.8.G.A.2

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. ∠A corresponds to:

• ∠B

• ∠X

• ∠Y

• ∠Z

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. ∠B corresponds to:

• ∠A

• ∠X

• ∠Y

• ∠Z

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. ∠Z corresponds to:

• ∠C

• ∠X

• ∠Y

• ∠Z

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. AB corresponds to:

• XY

• ZX

• YZ

• AB

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. AC corresponds to:

• XY

• ZX

• YZ

• AB

In the figure, the triangle on the left has been mapped to the one below by a rotation of 100 about P. ZY corresponds to:

• BC

• ZX

• YZ

• AB

Is ∆ABC ≅ ∆XYZ? Choose the best Explanation

• Yes because rigid motions preserve shape and size

• Yes because the look the same

• Yes because...

• There is no way to know unless I have patty paper

What rigid motion mapped ∆ABC -> ∆XYZ?

• Rotation

• Rotation then Translation

• Reflection

• Dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6