Warm up 5/9

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 corresponding angle measures of trapezoid P'Q'R'S'.

Tags

CCSS.8.G.A.3

Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is true?

• Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

• The sum of the angle measures of pentagon A'B'C'D'E is 180° more than the sum of the angle measures of pentagon ABCDE.

• Each side of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

• Each side of pentagon A'B'C'D'E' is 1/2 the corresponding side length of pentagon ABCDE.

Tags

CCSS.8.G.A.3

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 larger 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.

Tags

CCSS.8.G.A.3

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 + 3/u, -3 + 1/u)

• (6u, -3u)

Tags

CCSS.8.G.A.3

A cylinder and its dimensions are shown.  One equation for calculating the volume of a cylinder is V=Bh, where B represents the area of the base of the cylinder.  Which expression can be used to find the value of B, in square centimeters, for this cylinder?

• π(12.1)²
• 2π(12.1)
• π(3.8)²
• none of these

Tags

CCSS.7.G.B.4

A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?

• 46.38 cm³

• 33.93 cm³

• 122.15 cm³

• 82.45 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram.

Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

• 45.5 ft

• 32.5 ft.

• 17.18 ft.

• 20 ft.

Tags

CCSS.8.G.B.8

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

• 25

• 10

• 50

• 75

The model represents an equation. What value of x makes the equation true?

• 1.75

• 2.25

• 3

• 4

Tags

CCSS.8.EE.C.7B

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-2, 1)

• (0, -4)

• (1, -2)

Tags

CCSS.8.EE.C.8B