Unit 9 Geometric Transformations

Trapezoid PQRS is rotated 180° about the origin to form trapezoid P'Q'R'S'. Which statement is true?

• The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid P'Q'R'S'.

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle JKL is dilated with the orgin as the center of dilation to create triangle J'K'L'. Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

• (x,y) → (x+6, y-3)

• (x,y) → (x+4.5, y+3)

• (x,y) → (¹/₂x, ¹/₂y)

• (x,y) → (⁷/₄x, ⁷/₄y)

Tags

CCSS.HSG.CO.A.2

Pentagor VWXYZ is shown on a coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

• (x,y) → (x, -y)

• (x,y) → (x, y+8)

• (x, y) → (-y, x)

• (x,y) → (-x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (20x, 20y)

• (0.4x, 0.4y)

• (x+20, y+20)

• (x+0.4, y+0.4)

Triangle RST is translated 6 unit to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

• (x, y) → (6x, -4y)

• (x, y) → (-6x, 4y)

• (x, y) → (x+6, y-4)

• (x, y) → (x-6, y+4)

Tags

CCSS.HSG.CO.A.2

The coordinate grid shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon. Which rule describes this transformation?

• (x, y) → (x-1, y-10)

• (x, y) → (x+1, y-10)

• (x, y) → (x-1, y+10)

• (x, y) → (x+1, y+10)

Tags

CCSS.HSG.CO.A.2

Triangle MNP is graphed on a coordinate grid with vertices at M ( -3, -6), N (0, 3) and P (6, −3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to create triangle M'N'P'. Which ordered pair represents the coordinates of the vertex P′?

• (6+u, -3+u)

• (⁶/_u , -³/_u)

• (6+¹/_u, -3+¹/_u)

• (6u, -3u)

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

• ^AE/_XY = ^CD/_VZ

• ^AB/_VW = ^YZ/_DE

• ^BC/_XY = ^DE/_YZ

• ^AB/_VW = ^CD/_XY

Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y) → (¹/₄x, ¹/₄y) to create pentagon M'N'P'Q'R'. Which statement is true?

• Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

• Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

• Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

• Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?

• (x, y)

• (x, -y)

• (-x, y)

• (-x, -y)