EOG Geometry Review

The distance from Harrisburg to Newton is 45 miles. On a map, the distance is 3 inches. Which of the following ratios could be the scale used for the map?

• 1.5 inches = 15 miles

• 1.5 inches = 30 miles

• 1 inch = 30 miles

• 1 inch = 15 miles

The measure of ∠4 is 75°. What is the measure, in degrees, of ∠2?

The measure of angle 1 is 132 degrees. The measure of angle 4 is 4x + 8 degrees. Given the diagram below, what is the value of x?

Select all of the following statements that are true about the figure.

• A. The value of x is 22.5.

• B. The sum of the angles is 180°.

• C. The measure of the larger angle is 67.5°.

• D. The sum of the angles is 90°.

What is the measure of the obtuse angle in the triangle?

Gary is making a scale model of the Washington Monument. He is using a scale of 1 inch = 25 feet. If the Washington Monument is 170 feet tall, how tall will Gary's model be?

• A. 4,250 inches

• B. 1.5 inches

• C. 4.25 inches

• D. 6.8 inches

What is the sum of the degree measures of the complement and the supplement of a 54° angle?

A scale drawing of a living room is shown. The scale used to create this drawing is 1 inch = 2 feet. What is the area of the actual living room?

• A. 36 ft²

• B. 64 cm²

• C. 120 ft²

• D. 144 ft²

Angle P and Angle Q are supplementary angles. The measure of Angle P is 70 degrees larger than the measure of Angle Q. What is the measure of Angle Q?

• A. 110°

• B. 90°

• C. 70°

• D. 55°

Find x.

• 40

• 25

• 140

• 55