Geometry Quiz Review

Triangle RST is shown. What is the area of triangle RST in square inches?

• 162 in²

• 63 in²

• 126 in²

• 47 in²

Answer explanation

The area of a triangle can be calculated using the formula: Area = 0.5 * base * height. In this case, the base is 18 inches and the height is 14 inches. Therefore, Area = 0.5 * 18 * 14 = 126 in².

Tags

CCSS.6.G.A.1

The dimensions of a garden are shown below. What is the area of the garden in square inches?

• 48 in²

• 286 in²

• 72 in²

• 96 in²

Answer explanation

To find the area of the garden, multiply the length (8 in) by the width (6 in): 8 in * 6 in = 48 in². Therefore, the area of the garden is 48 in², which matches the correct answer choice.

Tags

CCSS.6.G.A.1

In a triangle, the measure of one angle is 60°, and the measure of a second angle is 30°. What is the measure of the third angle in degrees?

• 90°

• 120°

• 180°

• 60°

Answer explanation

The sum of the angles in a triangle is always 180°. Therefore, the measure of the third angle is 90° (180° - 60° - 30°).

Tags

CCSS.8.G.A.5

The dimensions of a rectangular prism are shown below. What is the volume of the rectangular prism in cubic centimeters?

Answer explanation

Find the area of the base then multiply by the height. Turn the fraction into a decimal (4.5) You should get 126 cm cubed.

Tags

CCSS.7.G.B.6

The dimensions of trapezoid MATH are given in units. Which figure does NOT model the area formula for trapezoid MATH? Select TWO correct answers.

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• 
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Tags

CCSS.6.G.A.1

Joseph has a rectangular plastic bin that has a base length of 15 inches, a height of 6 inches, and is 9 inches wide. If he plans to fill the bin with water, how many cubic inches of water can the plastic bin hold?

• 99 in³

• 650 in³

• 810 in³

• 1,620 in³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A rectangular canvas painting has an area of A square feet. The base length of the painting is 9 feet. Which

equation represents x, the height of the painting in inches?

• x = 9A

• x = A + 9

• x = A – 2(9)

• x =𝐴/9

Answer explanation

The height of the painting can be found by dividing the total area A by the base length 9, so x = A/9.

Tags

CCSS.HSA.REI.B.3

The area of a rectangle is 22.56 square centimeters. If the height of the rectangle is 4.8 centimeters, what is the base length of the rectangle?

• 108.288 cm

• 27.36 cm

• 4.7 cm

• 17.76 cm

Answer explanation

To find the base length, divide the area by the height: 22.56 / 4.8 = 4.7 cm. Therefore, the correct base length is 4.7 cm.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Victoria drew the parallelogram seen below. She then measured and labeled its dimensions. What is the area of Victoria’s parallelogram?

• 72 cm²

• 96 cm²

• 40 cm²

• 80 cm²

Answer explanation

The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base is 12 cm and the height is 6 cm. Therefore, the area is 12 cm * 6 cm = 72 cm², which matches the correct answer choice.

Tags

CCSS.6.G.A.1

Triangle ABC is shown below. Based on the given information, which statement is true?

• Angle A is the largest angle in triangle ABC.

• Angle B is the largest angle in triangle ABC.

• Angle C is the largest angle in triangle ABC.

• Angles A, B, and C are congruent.

Answer explanation

Angle C is the largest angle in triangle ABC because it is opposite the longest side, which is AB.

Tags

CCSS.HSG.CO.C.10