Angles and Shapes

Abigail, David, and Michael are trying to build a triangular treehouse using wooden segments. They have three segments with the following measurements: 8 ft, 9 ft, and 11 ft. Can they form a triangle with these segments?

• Yes

• No

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6.8.A

Determine whether it is possible to form a triangle using segments with the given measurements.

4 m, 5.1 m, 12.5 m

• Yes

• No

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6.8.A

Without performing any calculations, determine which triangle has the greater area.

• Triangle GRM

• Triangle GPM

• Both have equal areas.

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6.8.D

• 6 1/3

• 6 3/4

• 4 3/12

• 4 1/4

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6.8.D

Calculate the area of the triangle.

• 55 sq m

• 47.63 sq m

• 46.73 sq m

• 57.97 sq m

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6.8.D

Use a formula to find the area of the given figure in sq m.

• 231

• 213

• 220

• 220 1/2

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6.8.D

Use a formula to determine the area of the given figure in sq yd.

• 1500

• 3000

• 6000

• none of these

A patio is built in the shape of a trapezoid, as shown. Determine the area of the patio.

• 84 sq ft

• 48 sq ft

• 168 sq ft

• 186 sq ft

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6.8.D

Determine the area of a square picture that has a side length of 14 cm.

• 196 sq cm

• 169 sq cm

• 98 sq cm

• 144 sq cm

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6.8.D

The figure is composed of two congruent triangles

and a rhombus. Calculate the area of the shaded region in sq in.

• 40

• 80

• 60

• 50

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7.9.C