Congruency and similarity

Which sequences make congruent figures?

• translations only

• rotations, reflections, and translations

• rotations and reflections only

• dilations, reflections, rotations, and translations

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line CB

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line AC.

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z" across line CB.

• Translate XYA using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z across line AC.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Pick a rule to describe the rotation

• 90 degrees clockwise around the origin

• 90 degrees counter clockwise around the origin

• 180 degrees around the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the figures congruent?

(What type of transformation is shown?)

• Congruent (rotation)

• Congruent (reflection)

• NOT Congruent (rotation)

• NOT Congruent (reflection)

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which transformation results in images that are NOT congruent?

• dilation

• translation

• reflection

• rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC is congruent to ΔDEF ?

• Reflect △ABC across the x-axis, then translate it right 1

• Reflect △ABC across the y-axis, then translate it right 1

• Reflect △ABC across the x-axis, then translate it left 1

• Reflect △ABC across the y-axis, then translate it left 1

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Congruent figures are figures that are the SAME size and the SAME shape.

All of these transformations produce congruent figures EXCEPT which one?

• translations

• reflections

• rotations

• dilations

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to segment DC?

• A rectangle has 2 pairs of parallel sides.

• Any 2 sides of a rectangle are congruent.

• Congruent parts of congruent figures are corresponding.

• Corresponding parts of congruent figures are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6