Practice classifying triangles and quadrilaterals using side lengths, angle types, equal sides, and parallel sides.
Read each problem carefully. Use the shape properties to classify each triangle or quadrilateral. Show your work in the space provided.
Identify shapes by sides, angles, and parallel lines
Math - Grade 4-5
- 1
A triangle has side lengths of 5 cm, 5 cm, and 5 cm. Classify the triangle by its sides.
- 2
A triangle has side lengths of 6 inches, 6 inches, and 3 inches. Classify the triangle by its sides.
- 3
A triangle has side lengths of 4 cm, 5 cm, and 7 cm. Classify the triangle by its sides.
- 4
A triangle has one angle that measures 90 degrees. Classify the triangle by its angles.
- 5
A triangle has angle measures of 40 degrees, 60 degrees, and 80 degrees. Classify the triangle by its angles.
- 6
A triangle has angle measures of 25 degrees, 35 degrees, and 120 degrees. Classify the triangle by its angles.
- 7
A quadrilateral has 4 sides, 4 right angles, and opposite sides that are equal in length. The adjacent sides are not all equal. What is the most specific name for this shape?
- 8
A quadrilateral has 4 equal sides and 4 right angles. What is the most specific name for this shape?
- 9
A quadrilateral has exactly one pair of parallel sides. What type of quadrilateral is it?
- 10
A quadrilateral has 4 equal sides. Its opposite angles are equal, but it does not have 4 right angles. What is the most specific name for this shape?
- 11
Decide whether the statement is true or false: Every square is a rectangle. Explain your answer.
- 12
Decide whether the statement is true or false: Every rectangle is a square. Explain your answer.
- 13
A shape has 4 sides. Both pairs of opposite sides are parallel, and the shape has no right angles. What general type of quadrilateral is it?
- 14
Classify a triangle that has two equal sides and one angle that measures 90 degrees. Use both side and angle names.
- 15
Mia says a quadrilateral with 4 equal sides must always be a square. Is Mia correct? Explain your answer.