Big Ideas Geometry

Classify the triangle as acute, equiangular, obtuse, or right.

• acute

• equiangular

• obtuse

• right

Classify the triangle by its sides and angles. (Figure not drawn to scale)

• scalene, acute

• isosceles, obtuse

• isosceles, acute

• scalene, obtuse

Triangle FGH is an equilateral triangle with FG = x + 5, GH = 3x – 9, and FH = 2x – 2. Find the value of x.

• 7

• 1

• 4

• 2

Triangle LMN is an isosceles triangle, where angle L is the vertex angle (make a note of this. Vertex angle would be the vertex shared between the two congruent sides. Which means that LM will be equal to LN)

LM = 3x – 2, LN = 2x + 1, and MN = 5x – 2.

Find x

• 1

• 0.3

• 3

• 4

Find the angle measurements. Answers are in degrees.

• m∠1 = 72, m∠2 = 90

• m∠1 = 18, m∠2 = 90

• m∠1 = 108, m∠2 = 90

• m∠1 = 18, m∠2 = 72

CONSTRUCTION The diagram shows an example of the Pratt Truss used in bridge construction. Use the diagram to find m∠1.

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• 35°

• 55°

• 45°

• 50°

Find the measure of angle 1.

• 83°

• 39°

• 97°

• 90°

Find the measure of angle 2.

• 83°

• 39°

• 97°

• 90°

Find the measure of angle 3.

• 83°

• 62°

• 97°

• 90°

Find the measure of angle 1. (Figure not drawn to scale)

• 30 degrees

• 65 degrees

• 115 degrees

• 85 degrees