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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.

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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

Solve for xx: x+20=90x+20=90.

Please select an answer first.

Correct answer: A

The correct answer is 70∘70^\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 20 from both sides: x=90∘−20∘=70∘x=90^\circ-20^\circ=70^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 20 from both sides: x=90∘−20∘=70∘x=90^\circ-20^\circ=70^\circ.

2. QuestionMultiple choice

Solve for xx: 2x+10=1802x+10=180.

Please select an answer first.

Correct answer: B

The correct answer is 85∘85^\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 10 and divide by 2: 2x=170∘2x=170^\circ, so x=85∘x=85^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 10 and divide by 2: 2x=170∘2x=170^\circ, so x=85∘x=85^\circ.

3. QuestionMultiple choice

Solve for xx: 3x=723x=72.

Please select an answer first.

Correct answer: C

The correct answer is 24∘24^\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: Divide both sides by 3: x=72∘÷3=24∘x=72^\circ\div3=24^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Divide both sides by 3: x=72∘÷3=24∘x=72^\circ\div3=24^\circ.

4. QuestionMultiple choice

Solve for xx: x+35=180x+35=180.

Please select an answer first.

Correct answer: D

The correct answer is 145∘145^\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 35 from 180: x=145∘x=145^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 35 from 180: x=145∘x=145^\circ.

5. QuestionMultiple choice

Solve for xx: 2x+30=902x+30=90.

Please select an answer first.

Correct answer: A

The correct answer is 30∘30^\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 30 and divide by 2: 2x=60∘2x=60^\circ, so x=30∘x=30^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 30 and divide by 2: 2x=60∘2x=60^\circ, so x=30∘x=30^\circ.

6. QuestionMultiple choice

Solve for xx: 4x−20=1804x-20=180.

Please select an answer first.

Correct answer: B

The correct answer is 50∘50^\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: Add 20 and divide by 4: 4x=200∘4x=200^\circ, so x=50∘x=50^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Add 20 and divide by 4: 4x=200∘4x=200^\circ, so x=50∘x=50^\circ.

7. QuestionMultiple choice

Solve for xx: x+15=2x−25x+15=2x-25.

Please select an answer first.

Correct answer: C

The correct answer is 40∘40^\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 xx and add 25: 40=x40=x.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract xx and add 25: 40=x40=x.

8. QuestionMultiple choice

Solve for xx: 3x+5=2x+353x+5=2x+35.

Please select an answer first.

Correct answer: D

The correct answer is 30∘30^\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 2x2x and 5: x=30∘x=30^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 2x2x and 5: x=30∘x=30^\circ.

9. QuestionMultiple choice

Solve for xx: 5x−10=3x+305x-10=3x+30.

Please select an answer first.

Correct answer: A

The correct answer is 20∘20^\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 3x3x and add 10: 2x=40∘2x=40^\circ, so x=20∘x=20^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract 3x3x and add 10: 2x=40∘2x=40^\circ, so x=20∘x=20^\circ.

10. QuestionMultiple choice

Solve for xx: 2x+15=x+752x+15=x+75.

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: Subtract xx and 15: x=60∘x=60^\circ.
  3. Check the result: Verify the angle measure, equality, or construction step using the defining property.

Subtract xx and 15: x=60∘x=60^\circ.

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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.