21-22 Review - Geometry & Measurement

Parallelogram 𝑹𝑺𝑻𝑼 is located on the coordinate plane, and the measure of angle 𝑺 is 𝟗𝟖°. If the parallelogram is reflected across the 𝒙-axis to form parallelogram 𝑹′𝑺′𝑻′𝑼′, what is the measure of angle 𝑺′?

• 49°

• 82°

• 98°

• 196°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A sphere has a radius of 𝟏𝟓 inches. What is the approximate volume of the sphere? (Use 𝟑. 𝟏𝟒 as an approximation of pi.)

• 3,532.5 cubic inches

• 942 cubic inches

• 14,130 cubic inches

• 188.4 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A student draws triangles 𝑲𝑳𝑴 and 𝑲′𝑳 ′𝑴′ on a coordinate plane.

Which sequence of transformations proves triangles 𝑲𝑳𝑴 and 𝑲′𝑳′𝑴′ are congruent?

• Reflect triangle 𝐾𝐿𝑀 across the 𝑦-axis, then translate it down 4 units and right 2 units.

• Reflect triangle 𝐾𝐿𝑀 across the 𝑥-axis, then translate it down 4 units and right 2 units.

• Rotate triangle 𝐾𝐿𝑀 180° clockwise about the origin, then translate it up 2 units

• Rotate triangle 𝐾𝐿𝑀 90° clockwise about the origin, then translate it down 2 units.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A store owner makes candles by melting and pouring wax into identical cylindrical molds until the molds are completely full. The dimensions of the molds are shown.

What is the minimum amount of wax the store owner needs to make 𝟔𝟎 candles? (Use 𝟑. 𝟏𝟒 as an approximation of pi.)

• 11,870 cubic inches

• 27,720 cubic inches

• 47,520 cubic inches

• 55,440 cubic inches

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Squares 𝟏, 𝟐, and 𝟑 are joined at different vertices, creating a right triangle.

Which could represent the areas of squares 𝟏, 𝟐, and 𝟑?

• square 1 = 30 square units; square 2 = 36 square units; square 3 = 42 square units

• square 1 = 30 square units; square 2 = 72 square units; square 3 = 78 square units

• square 1 = 50 square units; square 2 = 100 square units; square 3 = 200 square units

• square 1 = 50 square units; square 2 = 150 square units; square 3 = 200 square units

Tags

CCSS.8.G.B.8

Consider the right triangle.

What is the value of 𝒙?

Tags

CCSS.8.G.B.7

• The coordinates of 𝑅′ are (8, 1).

• The coordinates of 𝑆′ are (3, 0).

• The coordinates of 𝑇′ are (6, 3).

• The coordinates of 𝑇′ are (3, −6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A student has a gift box that measures 𝟓 inches by 𝟏𝟎 inches by 𝟏𝟎 inches. The student knows that large items will have to be placed diagonally inside the box, as shown.

What is the longest item that the student can wrap if the item is positioned diagonally?

• 10 inches

• 15 inches

• 12 inches

• 20 inches

Tags

CCSS.8.G.B.7

Consider trapezoid 𝑾𝑿𝒀𝒁.

If trapezoid 𝑾𝑿𝒀𝒁 is rotated 𝟗𝟎° clockwise about the origin to form trapezoid 𝑾′𝑿′𝒀′𝒁′, what is the length of segment 𝒀′𝒁′?

• 3 units

• 5 units

• 10 units

• 11 units

Tags

CCSS.HSG.CO.A.2

If trapezoid 𝑾𝑿𝒀𝒁 is instead translated 𝟕 units right and 𝟐 units up, which statement is true?

• Segment 𝑊′𝑋′ is parallel to segment 𝑌′𝑋′.

• Segment 𝑊′𝑋′ is not parallel to segment 𝑍′𝑌′.

• Segment 𝑊′𝑋′ is parallel to segment 𝑍′𝑌′

• Segment 𝑊′𝑋′ is not parallel to segment 𝑌′𝑍′.

Tags

CCSS.HSG.CO.A.2