Geometry Transformations Quiz

Consider the blueprint an artist creates of the outline of a mural, where 1 unit represents 1 foot. The artist edits the blueprint of the art mural by transforming triangle LMN on the coordinate plane.

If the artist dilates triangle LMN by a scale factor of 3 about the origin, creating triangle L'M'N', what are the coordinates of N'?

• A (-9, -3)

• B (-3, -3)

• C (-1, -1/3)

• D (-1/3, -1)

Tags

CCSS.8.G.A.3

Triangle FGH is located on the coordinate plane, and the measure of angle G is 24°. If the triangle is reflected across the y-axis to create triangle F'G'H', what is the measure of angle G'?

• 12°

• 24°

• 114°

• 204°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Polygon QRST is rotated 90° clockwise about the origin to create polygon Q'R'S'T'. Which rule describes this transformation?

• (x, y) --> (-x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (y, -x)

• (x, y) --> (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle STUV is translated 2 units right and then rotated 90° counterclockwise about the origin to form rectangle S'T'U'V'. What is the length of line segment T'U'?

• 4 units

• 6 units

• 7 units

• 8 units

Tags

CCSS.8.G.A.3

Consider triangle LMN and triangle L'M'N'. Which describes a sequence of transformations that proves triangle LMN is similar to triangle L'M'N'?

• Reflect triangle LMN across the x-axis followed by a dilation about the origin by a scale factor of 1/2.

• Reflect triangle LMN across the x-axis followed by a dilation about the origin by a scale factor of 2.

• Reflect triangle LMN across the y-axis followed by a dilation about the origin by a scale factor of 1/2.

• Reflect triangle LMN across the y-axis followed by a dilation about the origin by a scale factor of 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Consider parallelogram 1 and parallelogram 2. Which statement is true?

• Parallelogram 1 is not similar to parallelogram 2 because there is a sequence of rotations, reflections, translations, and/or dilations that can map parallelogram 1 onto parallelogram 2.

• Parallelogram 1 is not similar to parallelogram 2 because there is not a sequence of rotations, reflections, translations, or dilations that can map parallelogram 1 onto parallelogram 2.

• Parallelogram 1 is similar to parallelogram 2 because there is a sequence of rotations, reflections, translations, and/or dilations that can map parallelogram 1 onto parallelogram 2.

• Parallelogram 1 is similar to parallelogram 2 because there is not a sequence of rotations, reflections, translations, or dilations that can map parallelogram 1 onto parallelogram 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Consider the figure. What is the value of x?

• 104

• 76

• 21

• 17

Tags

CCSS.8.G.A.5

Line segment w is parallel to line segment x. Line segment x is translated downward along line m to create line segment y. Which statement is true?

• Line segment w intersects line segment y exactly once.

• Line segment w intersects line segment y more than once.

• Line segment w is parallel to line segment y.

• Line segment w is perpendicular to line segment y.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

A teacher draws triangle MNP, where m∠M = 65°, m∠N = 73°, and m∠P = 42°. Consider the triangle a student draws. Which statement must be true?

• The student’s triangle is similar to the teacher’s triangle because there are at least two pairs of congruent side lengths.

• The student’s triangle is similar to the teacher’s triangle because there are at least two pairs of congruent angle measures.

• The student’s triangle is not similar to the teacher’s triangle because there are not three pairs of congruent angle measures.

• The student and teacher do not measure the side lengths of their triangles, so similarity cannot be determined.

Tags

CCSS.HSG.SRT.A.2

Trapezoid RSTU is the image of trapezoid HJKL after a horizontal translation of trapezoid HJKL. Which statement is true?

• The measure of angle U is equal to the measure of angle L.

• The measure of angle U is greater than the measure of angle L.

• The measure of angle U is less than the measure of angle L.

• There is not enough information to determine a relationship between angle U and angle L.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5