Question

geometry test (50 questions)
section 1: points, lines, and angles

1. what do we call a part of a line with two endpoints?
2. how many degrees are in a straight angle?
3. what do we call two angles whose measures add up to 90°?
4. what do we call two angles whose measures add up to 180°?
5. what do you call angles that share a common vertex and side but do not overlap?
6. what is the measure of each angle in an equilateral triangle?
7. name the tool used to measure angles.
8. what type of angle measures more than 90° but less than 180°?
9. if one angle of a linear pair is 70°, what is the measure of the other angle?
10. true or false: vertical angles are always equal.

Explanation:

Step1: Recall geometric definitions

For question 1, a line segment has two endpoints.
For question 2, a straight - angle is defined as \(180^{\circ}\).
For question 3, complementary angles sum to \(90^{\circ}\).
For question 4, supplementary angles sum to \(180^{\circ}\).
For question 5, adjacent angles share a common vertex and side without overlapping.
For question 6, in an equilateral triangle, all angles are equal. Since the sum of angles in a triangle is \(180^{\circ}\), each angle is \(\frac{180^{\circ}}{3}=60^{\circ}\).
For question 7, a protractor is used to measure angles.
For question 8, an obtuse angle measures more than \(90^{\circ}\) but less than \(180^{\circ}\).
For question 9, a linear pair of angles sums to \(180^{\circ}\). If one angle is \(70^{\circ}\), then the other angle is \(180^{\circ}-70^{\circ} = 110^{\circ}\).
For question 10, by the vertical - angles theorem, vertical angles are always equal.

Answer:

1. Line segment
2. \(180^{\circ}\)
3. Complementary angles
4. Supplementary angles
5. Adjacent angles
6. \(60^{\circ}\)
7. Protractor
8. Obtuse angle
9. \(110^{\circ}\)
10. True