NumicornNumicornLearn, solve, progress

Grade 7 Math · Angles and Geometric Constructions

Grade 7 Angles and Geometric Constructions Practice Test

Build Grade 7 Math skills with five 10-question practice tests on angle relationships, parallel lines, constructions, triangles, and quadrilaterals.

Angles and Geometric Constructions Practice Tests

These Grade 7 Math practice tests help students solve angle relationships and understand classical geometric constructions. Students work with complementary, supplementary, vertical, adjacent, and parallel-line angles, as well as angle bisectors and perpendicular bisectors.

Skills covered

  • Finding complementary and supplementary angles
  • Using vertical-angle and linear-pair relationships
  • Solving angle equations
  • Identifying corresponding, alternate interior, and same-side interior angles
  • Understanding angle bisectors and perpendicular bisectors
  • Applying triangle, quadrilateral, and exterior-angle sums

How to use these practice tests

Use the total angle measures for a right angle, straight angle, triangle, and quadrilateral. For constructions, remember that a compass transfers equal distances while a straightedge draws lines through constructed points.

For more Grade 7 Math practice, return to the Grade 7 Math category.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

1. Test

Grade 7 Angles and Geometric Constructions Practice Tests

A 10-question Grade 7 Math practice test on angle relationships, angle equations, parallel lines, constructions, triangles, and quadrilaterals.

Use angle-sum relationships, vertical and parallel-line properties, and compass-and-straightedge construction rules to solve each problem.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is the complement of an angle measuring 35∘35^\circ?

Please select an answer first.

Correct answer: A

The correct answer is 55∘55^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Complementary angles sum to 90∘90^\circ: 90∘−35∘=55∘90^\circ-35^\circ=55^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Complementary angles sum to 90∘90^\circ: 90∘−35∘=55∘90^\circ-35^\circ=55^\circ.

2. QuestionMultiple choice

What is the supplement of an angle measuring 120∘120^\circ?

Please select an answer first.

Correct answer: B

The correct answer is 60∘60^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Supplementary angles sum to 180∘180^\circ: 180∘−120∘=60∘180^\circ-120^\circ=60^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Supplementary angles sum to 180∘180^\circ: 180∘−120∘=60∘180^\circ-120^\circ=60^\circ.

3. QuestionMultiple choice

A vertical angle is 48∘48^\circ. What is the measure of its opposite vertical angle?

Please select an answer first.

Correct answer: C

The correct answer is 48∘48^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Vertical angles are congruent, so the opposite angle also measures 48∘48^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Vertical angles are congruent, so the opposite angle also measures 48∘48^\circ.

4. QuestionMultiple choice

Two angles form a straight angle. If one angle is 90∘90^\circ, what is the other angle?

Please select an answer first.

Correct answer: D

The correct answer is 90∘90^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Angles on a straight line sum to 180∘180^\circ: 180∘−90∘=90∘180^\circ-90^\circ=90^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Angles on a straight line sum to 180∘180^\circ: 180∘−90∘=90∘180^\circ-90^\circ=90^\circ.

5. QuestionMultiple choice

What is the measure of a right angle?

Please select an answer first.

Correct answer: A

The correct answer is 90∘90^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: By definition, a right angle measures exactly 90∘90^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

By definition, a right angle measures exactly 90∘90^\circ.

6. QuestionMultiple choice

What is the complement of an angle measuring 27∘27^\circ?

Please select an answer first.

Correct answer: B

The correct answer is 63∘63^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Subtract from 90∘90^\circ: 90∘−27∘=63∘90^\circ-27^\circ=63^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract from 90∘90^\circ: 90∘−27∘=63∘90^\circ-27^\circ=63^\circ.

7. QuestionMultiple choice

What is the supplement of an angle measuring 76∘76^\circ?

Please select an answer first.

Correct answer: C

The correct answer is 104∘104^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Subtract from 180∘180^\circ: 180∘−76∘=104∘180^\circ-76^\circ=104^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract from 180∘180^\circ: 180∘−76∘=104∘180^\circ-76^\circ=104^\circ.

8. QuestionMultiple choice

A vertical angle is 115∘115^\circ. What is the measure of its opposite vertical angle?

Please select an answer first.

Correct answer: D

The correct answer is 115∘115^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Vertical angles are congruent, so the opposite angle measures 115∘115^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Vertical angles are congruent, so the opposite angle measures 115∘115^\circ.

9. QuestionMultiple choice

Two adjacent angles form a straight line. If one measures 42∘42^\circ, what is the other?

Please select an answer first.

Correct answer: A

The correct answer is 138∘138^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Linear-pair angles sum to 180∘180^\circ: 180∘−42∘=138∘180^\circ-42^\circ=138^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Linear-pair angles sum to 180∘180^\circ: 180∘−42∘=138∘180^\circ-42^\circ=138^\circ.

10. QuestionMultiple choice

What is the complement of an angle measuring 58∘58^\circ?

Please select an answer first.

Correct answer: B

The correct answer is 32∘32^\circ.

  1. Identify the angle relationship or construction: Determine whether the problem uses complementary, supplementary, vertical, parallel-line, or construction properties.
  2. Apply the geometry rule: Complementary angles sum to 90∘90^\circ: 90∘−58∘=32∘90^\circ-58^\circ=32^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Complementary angles sum to 90∘90^\circ: 90∘−58∘=32∘90^\circ-58^\circ=32^\circ.

Previous testNext test

Frequently asked questions about Grade 7 Angles and Geometric Constructions

What angle relationships are covered?

The page covers complementary, supplementary, vertical, adjacent, linear-pair, corresponding, alternate interior, and same-side interior angles.

What does a perpendicular bisector do?

It crosses a segment at its midpoint at a right angle, and every point on it is equidistant from the segment endpoints.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Angles and Geometric Constructions questions in total.