Angle Pair Relationships

If the distance between two cities on a map is 3 inches and the scale is 1 inch = 300 miles, what is the actual distance?

• 600 miles

• 900 miles

• 1200 miles

• 300 miles

If a model is 2 ft wide and the actual object is 200 yd wide, what is the scale?

• 1 foot = 50 yards

• 1 foot = 75 yards

• 1 foot = 100 yards

• 1 foot = 150 yards

What is the scale if 1 inch on a map represents 300 miles in reality?

• 1 inch = 150 miles

• 1 inch = 300 miles

• 1 inch = 600 miles

• 1 inch = 75 miles

If two angles are supplementary and one angle measures 118 degrees, what is the measure of the other angle?

• 62 degrees

• 70 degrees

• 56 degrees

• 72 degrees

If two angles are complementary and one angle measures 35 degrees, what is the measure of the other angle?

• 45 degrees

• 50 degrees

• 55 degrees

• 60 degrees

If two angles are vertical, what can you say about their measures?

• They are equal.

• They are complementary.

• They are supplementary.

• They are adjacent.

What is the significance of angle pair relationships in geometry?

• They help in solving problems related to angles formed by intersecting lines.

• They are used to calculate the area of geometric shapes.

• They determine the congruence of triangles.

• They are only applicable in trigonometry.

What is the formula to convert map distance to actual distance using a scale?

• Actual Distance = Map Distance + Scale Factor

• Actual Distance = Map Distance - Scale Factor

• Actual Distance = Map Distance × Scale Factor

• Actual Distance = Map Distance / Scale Factor

How do you find the measure of an angle if you know it is part of a linear pair?

• Add the measure of the known angle to 90 degrees.

• Subtract the measure of the known angle from 180 degrees.

• Multiply the measure of the known angle by 2.

• Divide the measure of the known angle by 2.

What are vertical angles?

• Angles that are opposite each other when two lines intersect; they are always equal.

• Angles that are adjacent to each other when two lines intersect.

• Angles that are supplementary and add up to 180 degrees.

• Angles that are formed by two parallel lines and a transversal.