Hierarchy of Shapes

Which two shapes always have all sides of the same length?

• square and rhombus

• square and rectangle

• rhombus and rectangle

• rhombus and parallelogram

Which of the following appears to be a right triangle?

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Sergio plays a game to find a mystery shape. His clues are:

1. It has 2 pairs of parallel sides.

2. It has 2 pairs of sides of equal length.

3. It has exactly 4 right angles.

• trapezoid

• rectangle

• pentagon

• triangle

Which of the following figures has two pairs of parallel sides?

• parallelogram

• rhombus

• rectangle

• all of the above

Which sentence about the sides of triangles is TRUE?

• A triangle can have a pair of parallel sides.

• A triangle can have a pair of perpendicular sides.

• A triangle can have parallel and perpendicular lines.

• A triangle cannot have parallel or perpendicular sides.

Which shape must always have one pair of perpendicular line segments and at least one right angle?

• acute triangle

• right triangle

• rhombus

• trapezoid

Dana was asked to draw a trapezoid during a math activity. The picture is what she drew.

Did she correctly draw a trapezoid?

• Yes, because the figure has equal side lengths.

• Yes, because the figure has equal angle measures.

• No, because the figure does not have at least one pair of parallel sides.

• No, because the figure does not have two pairs of parallel sides.

Lilia drew some shapes. Which statement about the shapes are true?

• Shapes A and C each have one pair of parallel sides.

• Shape C has 2 pairs of perpendicular sides.

• Shape D has 3 right angles.

• Shapes B and E each have more acute angles than right angles.

Look at the shapes. Which triangles appear to be right triangles?

• 1 and 2

• 1 and 5

• 2 and 5

• 3 and 4

Which of these quadrilaterals always has sides that are perpendicular, four parallel sides, and four right angles?

• rectangle

• trapezoid

• parallelogram

• rhombus