2D Geometry

A fence borders a triangular shaped field. The scale of the drawing to the actual size of the field is 24 mm : 5 m. The sides are 96 mm, 84 mm, and 60 mm.

Using this information, select the actual lengths.

• 20 m

• 17.5 m

• 12.5 m

• 15m

• 10 m

A blueprint shows a layout of a building. Every 3 inches in the blueprint represents 5 feet of the actual building. One of the walls on the blueprint measures 21 inches in length. What is the length of the actual wall?

• 35 feet

• 35 inches

• 12.6 inches

• 12.6 feet

Brandi needs to know how much fertilizer to buy for her garden at home. To help Brandi find out how much fertilizer she needs for her garden, her scale drawing has a length of 3 in and width of 1.25 in. The scale is 1 in = 4 ft.

How many square feet of her garden will Brandi need to fertilize?

• 3.75 square feet

• 15 square feet

• 30 square feet

• 60 square feet

Which set of side lengths forms a unique triangle?

• 5 cm, 5 cm, 10 cm

• 11 cm, 14 cm, 17 cm

• 109 cm, 214 cm, 414 cm

• 8 cm, 15 cm, 26 cm

A triangle with 5 cm and 7 cm side lengths and an included 50 degree angle will form

• a unique triangle

• no triangle

• more than one triangle

A triangle with side lengths 3 inches, 2 inches, and 1 inch will form

• a unique triangle

• no triangle

• more than one triangle

A triangle with angle measures of 72 degrees, 24 degrees, and 84 degrees will form

• a unique triangle

• no triangle

• more than one triangle

If two angles are complementary, and one of the angles is 71 degrees, what is the measure of the other angle?

• 19 degrees

• 29 degrees

• 71 degrees

• 109 degrees

Select all the statements that are true if Angle A = 50 degrees.

• Angle C is 130 degrees

• Angle B is 130 degrees

• Angle B and Angle D are vertical angles

• Angle A and Angle C are adjacent angles

• Angle B and Angle A are adjacent angles

If three angles are supplementary and two of the angles are 37 degrees and 67 degrees, what is the measure of the third angle?

• 76 degrees

• Not possible

• 113 degrees

• 143 degrees