Unit 3 Geometric Applications of Exponents Test

MGSE8.G.6: Which set of side lengths cannot form a right triangle? Choose all that apply.

• 24mm, 32mm, 40mm

• 27mm, 35mm, 46mm

• 7mm, 24mm, 25mm

• 6mm, 8mm, 10mm

• 12mm, 34mm, 37mm

MGSE8.G.7: John’s tent has slanted sides that are each 5 feet long with a bottom 6 feet across. What is the height of his tent at the tallest point?

• 3.0 ft

• 3.5 ft

• 4.0 ft

• 5.0 ft

MGSE8.G.7: The baseball diamond is in the shape of a square with each side being 90 feet. If the catcher at home plate throws out a runner at second base, approximately how far does he need to throw the ball?

• 128 ft

• 180 ft

• 8,100 ft

• 16,200 ft

MGSE8.G.8: Find the distance between the two labeled points.

• $\sqrt{5}$

• 5

• $\sqrt{50}$

• 50

MGSE8.G.9: The glass below has a height of 3 inches and a radius of 2 inches. About how many cubic inches of water will the glass hold?

• About 18

• About 38

• About 48

• About 54

MGSE8.G.6: Jason was given a triangle that had side length of 10m and a hypotenuse of 15m. When he substituted these values into the Pythagorean Theorem, he got 10² + 15² = c².

Part A. Find Jason’s mistake and correct it. Then, solve for the missing length. Round to the nearest tenth.

Part B. Show your mathematical thinking and justify your answer.

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MGSE8.G.8: Graph and label triangle PQR whose vertices are located at P(-5, 2), Q(7, -3), R(7, 2).

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MGSE8.G.8: Triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment PQ.

MGSE8.G.8: Triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment QR.

MGSE8.G.8: Triangle PQR vertices are located at P(-5, 2), Q(7, -3), R(7, 2). Determine the length of line segment RP.