Properties of Translations, Reflections, & Rotations

Triangle ABC is reflected across the coordinate plane to produce Triangle A'B'C'. Which angles must be congruent?

• A to C'

• B to B'

• C to C'

• B to C'

• A to B'

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figure A' is the result of a SINGLE transformation to Figure A. Which transformation(s) could NOT have caused the result of Figure A'?

• translation

• dilation

• rotation

• reflection

Tags

CCSS.8.G.A.3

A figure with 2 parallel sides are rotated 180 degrees. After the rotation, how many parallel sides will the image of the figure have?

• 1

• 2

• 3

• 4

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A line segment with endpoints at A(1,80 and B(5,-2) is reflected across the y-axis and translated up 6 units. What are the coordinates of the image of point B?

• (-5,4)

• (-1,14)

• (5,8)

• (1,-2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figure ABCD is rotated 90 degrees CW about the origin to produce Figure A'B'C'D'. What is the length, in units, of line segment C'D'?

Tags

CCSS.HSG.CO.B.6

Line segment DM with endpoints D(-4,5) and M(6,0), is reflected about the x-axis to give line segment D'M'. What are the coordinates of Point D'?

• (-4,-5)

• (4,-5)

• (-4,5)

• (4,5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation does NOT preserve congruence?

• translation

• reflection

• rotation

• dilation

Tags

CCSS.HSG.CO.A.2

Which transformation(s), no matter which one you do, will the resulting image be congruent?

• translation

• reflection

• rotation

• dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Transformation 1 results Figure A to Figure A'. Transformation 2 results Figure A' to Figure A''. Determine which transformations maps Figure A to A' to A''.

• a vertical reflection

• a horizontal reflection

• a translation

• a rotation

Tags

CCSS.8.G.A.3

If two angles are congruent, then

• the sum of the two angles is 90 degrees.

• the sum of the two angles is 180 degrees.

• the two angles are both acute.

• the two angles have equal measures.

Tags

CCSS.8.G.A.2