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Classify Quadrilaterals

Total questions: 18

Worksheet time: 21mins

Name
Class
Date
1.

I'm thinking of a four-sided figure with congruent sides. (select 2)

a)

Parallelogram

b)

Rhombus

c)

Trapezoid

d)

Square

2.

Which statement is true?

a)

All quadrilaterals are parallelograms because they have four sides.

b)

All squares are parallelograms because they have 2 pairs of parallel sides.

c)

All trapezoids are parallelograms because they have 1 pair of parallel sides.

d)

All polygons are parallelograms because they have straight lines and closed sides.

3.

Which conclusion can be drawn?

a)

All quadrilaterals are kites, but all kites are not quadrilaterals.

b)

All parallelograms are rhombi, but all rhombi are not parallelograms.

c)

All squares are parallelograms, but all parallelograms are not squares.

d)

All parallelograms are rectangles, but all rectangles are not parallelograms.

4.

Which figure completes this statement based on its characteristics....


polygon > quadrilateral>parallelogram> _______________

a)

kite

b)

square

c)

trapezoid

d)

triangle

5.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

6.

A rhombus has these characteristics:


-opposite sides are parallel

-all four sides are the same length


Based on this information, which statement must be true?

a)

Every square must have these same characteristics

b)

Every rectangle must have these same characteristics

c)

Every quadrilateral must have these same characteristics

d)

Every parallelogram must have these same characteristics

7.

Which statement is always true for parallelograms?

a)

All sides have the same length

b)

All angles have the same measure

c)

Opposite sides are equal in length

d)

Opposite angles have different measures

8.

Samantha states that a parallelogram is always a rhombus. Is she correct?

a)

Yes, because a parallelogram has opposite angles that are equal in size.

b)

Yes, because a parallelogram has opposite sides that are equal in length.

c)

No, because a parallelogram does not have opposite sides that are equal.

d)

No, because a parallelogram does not always have 4 equal sides.

9.

Which figure can be categorized as a rectangle?

a)

kite

b)

rhombus

c)

square

d)

trapezoid

10.

Into which category can a trapezoid be placed?

a)

parallelogram

b)

quadrilateral

c)

rectangle

d)

rhombus

11.

A square, a rectangle, a trapezoid, and a rhombus all belong to which group of shapes?

a)

squares

b)

parallelograms

c)

quadrilaterals

d)

regular polygons

12.

All quadrilaterals have four sides. Trapezoids are quadrilaterals, so all trapezoids have...

a)

four sides

b)

four right angles

c)

four acute angles

d)

two pairs of parallel sides

13.

In which categories can a rhombus be placed? Choose all that apply.

a)

Quadrilateral

b)

Square

c)

Kite

d)

Trapezoid

e)

Parallelogram

14.

Which shapes are parallelograms?

a)

rectangle, rhombus, square

b)

rectangle, square, trapezoid,

c)

square, trapezoid, triangle

d)

square, trapezoid, rhombus

15.

Brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. Which statement should NOT be included in his report?

a)

All rhombuses are squares.

b)

All squares are parallelograms.

c)

All squares and rectangles have opposite sides that are congruent.

d)

All parallelograms, rectangles, and squares have opposite angles that are congruent.

16.

All rectangles are parallelograms. All rectangles must have 4 right angles. Therefore all parallelograms must have four rights angles.

a)

True

b)

False

17.

Identify the FALSE statement.

a)

All parallelograms are trapezoids. All trapezoids are quadrilaterals. Therefore all parallelograms must be quadrilaterals.

b)

All kites are quadrilaterals. All parallelograms are quadrilaterals. Therefore all kites must be parallelograms.

c)

Some parallelograms are rectangles. All squares are rectangles. Therefore some parallelograms must be squares.

d)

All parallelograms are trapezoids. All rhombi are parallelograms. Therefore all rhombi must be trapezoids.

18.

Identify the correct statement.

a)

Some trapezoids are parallelograms. Some parallelograms are rhombi. Therefore no rhombi can be trapezoids.

b)

All squares are rectangles. No rectangles are rhombi. Therefore no squares can be rhombi.

c)

Some parallelograms are rectangles. All squares are rectangles. Therefore some parallelograms must be squares.

d)

Some squares are rhombi. No rhombi are trapezoids. Therefore squares can be trapezoids.