Angle-Side Relationships in Triangles

Explore the relationships between angles and side lengths in triangles with this Grade 7 worksheet, including ordering angles and sides.

Grade 7 Math GeometryAngle Side Relationships in Triangles

Use This Worksheet

Includes

Short AnswerMultiple ChoiceOrderingFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2

Topics

geometrytrianglesanglessidesgrade 7

7 sections · Free to use · Printable

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. In any triangle, what is the relationship between the longest side and the largest angle?

2. If two angles in a triangle are equal, what can you say about the sides opposite those angles?

3. In triangle ABC, if angle A = 80°, angle B = 50°, and angle C = 50°, which side is the shortest?

Side AB

Side BC

Side AC

All sides are equal

4. If a triangle has side lengths of 5 cm, 7 cm, and 10 cm, which angle is the largest?

Angle A (opposite 10 cm)

Angle B (opposite 7 cm)

Angle C (opposite 5 cm)

Cannot be determined

5. In triangle XYZ, angle X = 45°, angle Y = 60°, and angle Z = 75°. Order the sides from shortest to longest.

Side XY

Side YZ

Side XZ

6. In triangle PQR, side PQ = 12 cm, side QR = 8 cm, and side PR = 15 cm. Order the angles from smallest to largest.

Angle P

Angle Q

Angle R

7. The angle opposite the longest side of a triangle is always the angle.

8. The side opposite the smallest angle of a triangle is always the side.

9. If two sides of a triangle are congruent, then the angles those sides are congruent.

10. In a right-angled triangle, the hypotenuse is always the longest side.

True

False

11. An obtuse angle in a triangle is always opposite the shortest side.

True

False