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.

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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°).

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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?

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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.

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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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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.6.G.A.2

CCSS.5.MD.C.5B

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.

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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.4.MD.A.3

CCSS.3.MD.C.7B

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.

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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