Proving Figures Are Congruent Using Rigid Motions

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

How many angles and how many sides are marked congruent?

• 2 angles, 1 side

• 0 angles, 3 sides

• 1 angle, 2 sides

• 3 angles, 0 sides

Are these triangles congruent?

• Yes

• No

• Not enough informaiton

A rigid motion creates figures that are ____________.

• congruent

• different sizes

• similar

• larger

State a sequence of rigid motions that would map Quad QRST onto Quad PLKJ.

• A reflection over the x-axis followed by a reflection over the y-axis

• A rotation 180 degrees followed by a translation 2 units to the right

• A reflection over the y-axis followed by a translation 7 units down

• A reflection over the x-axis followed by a translation 6 units to the right and 3 units down

Determine how to translate triangle A'B'C' to triangle ABC.

• right two, down five

• right two, down 9

• left two, down 9

• left two, down 5

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Are these triangles congruent?

• Yes

• No

• Not enough informaiton

Are these triangles congruent?

• Yes

• No

• Not enough informaiton