Chapter 7 Test: Angles, Triangles, & Quadrilaterals

1. What type is angle is shown below?

Acute

Right

Obtuse

Straight

The angle shown below is acute because it measures less than 90 degrees.

Explanation

The angle shown below is acute because it measures less than 90 degrees.

2. Find the missing angle.

180

70

25

80

The sum of the angles in a triangle is always 180 degrees. In this case, we are given three angles: 70, 25, and 80. To find the missing angle, we subtract the sum of these angles from 180. 70 + 25 + 80 = 175. Therefore, the missing angle is 180 - 175 = 5 degrees. However, this answer contradicts the given answer of 70, so there may be an error in the question or the given answer.

Explanation

The sum of the angles in a triangle is always 180 degrees. In this case, we are given three angles: 70, 25, and 80. To find the missing angle, we subtract the sum of these angles from 180. 70 + 25 + 80 = 175. Therefore, the missing angle is 180 - 175 = 5 degrees. However, this answer contradicts the given answer of 70, so there may be an error in the question or the given answer.

3. What is the measure of

120

130

30

180

The measure of 120 is the correct answer.

Explanation

The measure of 120 is the correct answer.

4.

What is the measurement of

?

52

90

142

180

not-available-via-ai

Explanation

not-available-via-ai

5. Identify the triangle below.

Obtuse triangle

Right triangle

Equilateral triangle

Acute triangle

The given triangle is an obtuse triangle because it has one angle that measures more than 90 degrees. In an obtuse triangle, one of the angles is greater than 90 degrees, while the other two angles are acute (less than 90 degrees).

Explanation

The given triangle is an obtuse triangle because it has one angle that measures more than 90 degrees. In an obtuse triangle, one of the angles is greater than 90 degrees, while the other two angles are acute (less than 90 degrees).

6. Identify the quadrilateral below.

Rhombus

Parallelogram

Trapezoid

Rectangle

The given figure is a trapezoid because it has only one pair of parallel sides. A trapezoid is a quadrilateral with one pair of parallel sides and the other pair of non-parallel sides are not equal in length. In this case, the figure has one pair of parallel sides and the other pair of sides are not equal in length, making it a trapezoid.

Explanation

The given figure is a trapezoid because it has only one pair of parallel sides. A trapezoid is a quadrilateral with one pair of parallel sides and the other pair of non-parallel sides are not equal in length. In this case, the figure has one pair of parallel sides and the other pair of sides are not equal in length, making it a trapezoid.

7. Which angle(s) is/are congruent to angle A?

B

C

D

B and D

Remember, congruent means equal.

Explanation

Remember, congruent means equal.

8. Identify the triangle below.

Right scalene triangle

Right obtuse triangle

Equilateral acute triangle

Obtuse isosceles triangle

The triangle is identified as a right scalene triangle because it has one right angle (90 degrees) and all three sides are of different lengths.

Explanation

The triangle is identified as a right scalene triangle because it has one right angle (90 degrees) and all three sides are of different lengths.

9.

53

180

143

90

not-available-via-ai

Explanation

not-available-via-ai

10. What is the measure of angle A?

45

110

90

70

The measure of angle A is 70 degrees.

Explanation

The measure of angle A is 70 degrees.

11. Which angle(s) is/are adjacent to angle A?

B

C

D

B and D

Remember that adjacent angles share a border.

Explanation

Remember that adjacent angles share a border.

12. Identify the polygon below.

Trapezoid

Parallelogram

Triangle

Rhombus

The given polygon is a rhombus because it has four equal sides and opposite angles are equal. A rhombus is a quadrilateral with all sides of equal length.

Explanation

The given polygon is a rhombus because it has four equal sides and opposite angles are equal. A rhombus is a quadrilateral with all sides of equal length.

13. What is the measure of angle C?

115

93

65

70

The measure of angle C is 65.

Explanation

The measure of angle C is 65.

14. What is the measure of angle B?

135

45

90

180

Angle B is measured as 45 degrees because it is a right angle. A right angle is defined as an angle that measures exactly 90 degrees. Therefore, since angle B is not a right angle, it cannot be 90 degrees. Additionally, angles less than 45 degrees would not fit the given options. Therefore, the only logical answer is that angle B measures 45 degrees.

Explanation

Angle B is measured as 45 degrees because it is a right angle. A right angle is defined as an angle that measures exactly 90 degrees. Therefore, since angle B is not a right angle, it cannot be 90 degrees. Additionally, angles less than 45 degrees would not fit the given options. Therefore, the only logical answer is that angle B measures 45 degrees.