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Triangles and Congruence Practice Tests

These Grade 10 Geometry practice tests develop triangle vocabulary, classification, angle and side reasoning, congruence criteria, proof strategies, and coordinate applications.

Skills covered

  • Classifying triangles by sides and angles and applying the Triangle Sum, Exterior Angle, and Triangle Inequality Theorems
  • Using SSS, SAS, ASA, AAS, and HL to prove triangles congruent
  • Recognizing included sides and angles, corresponding parts, triangle notation, and CPCTC
  • Writing and checking congruence-proof reasoning with givens, properties, and theorems
  • Using coordinates, distance, midpoint, rigid motions, and the Pythagorean Theorem to analyze triangles

How to use these practice tests

Begin by marking the known sides, angles, and correspondence. Decide whether the information matches a valid congruence criterion before solving for a missing measure or applying CPCTC.

For more Grade 10 Math practice, return to the Grade 10 Math category.

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5 Tests
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1. Test

Grade 10 Triangles and Congruence Practice Tests

Practice Grade 10 Geometry questions about triangle classification, angle and side relationships, congruence criteria, proofs, and coordinate geometry.

Choose the best answer. Classify the triangle or identify the correspondence, then apply the appropriate theorem, congruence criterion, formula, or proof step.

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

What is a triangle?

Please select an answer first.

Correct answer: A

The correct answer is A polygon with three sides and three angles..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: A triangle is a three-sided polygon formed by three segments joining three noncollinear points.
  3. Check the conclusion: The correct answer is A polygon with three sides and three angles..

A triangle is a three-sided polygon formed by three segments joining three noncollinear points.

2. QuestionMultiple choice

Which type of triangle has three different side lengths?

Please select an answer first.

Correct answer: B

The correct answer is A scalene triangle..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: A scalene triangle has no congruent sides.
  3. Check the conclusion: The correct answer is A scalene triangle..

A scalene triangle has no congruent sides.

3. QuestionMultiple choice

Which type of triangle has at least two congruent sides?

Please select an answer first.

Correct answer: C

The correct answer is An isosceles triangle..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: An isosceles triangle has at least two congruent sides and therefore congruent base angles.
  3. Check the conclusion: The correct answer is An isosceles triangle..

An isosceles triangle has at least two congruent sides and therefore congruent base angles.

4. QuestionMultiple choice

Which statement describes an equilateral triangle?

Please select an answer first.

Correct answer: D

The correct answer is All three sides are congruent and all three angles measure 60°..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: An equilateral triangle has three congruent sides; its three equal angles each measure 60 degrees.
  3. Check the conclusion: The correct answer is All three sides are congruent and all three angles measure 60°..

An equilateral triangle has three congruent sides; its three equal angles each measure 60 degrees.

5. QuestionMultiple choice

What is an acute triangle?

Please select an answer first.

Correct answer: A

The correct answer is A triangle with three acute angles..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: An acute triangle has all three angle measures less than 90 degrees.
  3. Check the conclusion: The correct answer is A triangle with three acute angles..

An acute triangle has all three angle measures less than 90 degrees.

6. QuestionMultiple choice

What is a right triangle?

Please select an answer first.

Correct answer: B

The correct answer is A triangle with one 90° angle..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: A right triangle contains exactly one right angle because the angle sum is 180 degrees.
  3. Check the conclusion: The correct answer is A triangle with one 90° angle..

A right triangle contains exactly one right angle because the angle sum is 180 degrees.

7. QuestionMultiple choice

What is an obtuse triangle?

Please select an answer first.

Correct answer: C

The correct answer is A triangle with one angle greater than 90°..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: An obtuse triangle has one obtuse angle and two acute angles.
  3. Check the conclusion: The correct answer is A triangle with one angle greater than 90°..

An obtuse triangle has one obtuse angle and two acute angles.

8. QuestionMultiple choice

What is the sum of the interior angles of every triangle?

Please select an answer first.

Correct answer: D

The correct answer is 180°..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: The Triangle Sum Theorem states that the three interior angles of every triangle add to 180 degrees.
  3. Check the conclusion: The correct answer is 180°..

The Triangle Sum Theorem states that the three interior angles of every triangle add to 180 degrees.

9. QuestionMultiple choice

What is an exterior angle of a triangle?

Please select an answer first.

Correct answer: A

The correct answer is An angle formed by one side and the extension of an adjacent side..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: An exterior angle is formed when one side of a triangle is extended, creating an angle outside the triangle.
  3. Check the conclusion: The correct answer is An angle formed by one side and the extension of an adjacent side..

An exterior angle is formed when one side of a triangle is extended, creating an angle outside the triangle.

10. QuestionMultiple choice

Which side is opposite vertex A in triangle ABC?

Please select an answer first.

Correct answer: B

The correct answer is Side BC..

  1. Identify the triangle information: List the side lengths, angle measures, vertices, or correspondence shown in the question.
  2. Apply the triangle rule: The side opposite a vertex is the side that does not contain that vertex.
  3. Check the conclusion: The correct answer is Side BC..

The side opposite a vertex is the side that does not contain that vertex.

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