﻿ Combining Shapes Worksheet | Problems & Solutions

# Combining Shapes Worksheet

Combining Shapes Worksheet
• Page 1
1.
Identify the pair of shapes that can be combined to form a rhombus.

 a. Figure 3 b. Figure 2 c. Figure 4 d. Figure 1

#### Solution:

A rhombus is a quadrilateral which has four congruent sides.

Among the choices, the shapes in the Figure 1 can be combined to form a rhombus.

2.
Which pair can be combined to make a rectangle?

 a. Figure 3 b. Figure 4 c. Figure 1 d. Figure 2

#### Solution:

A rectangle has four right angles with opposite sides being parallel.

Among the figures, we can make a rectangle with the pair of shapes in the Figure 2.

3.
Identify the name of the shape that can be formed with the pair of shapes.

 a. cylinder b. cone c. circle d. square

#### Solution:

In the given diagram, when the right figure is rotated 180 degrees and placed below the left figure, we obtain a circle.

Among the choices, cirlce is the correct answer.

4.
Which shape completes the rectangle?

 a. Figure 3 b. Figure 1 c. Figure 4 d. Figure 2

#### Solution:

By placing Figure 2 over the incomplete portion of the given figure, it completes the rectangle.

So Figure 2, completes the rectangle.

5.
Which shape completes the rectangle?

 a. Figure 3 b. Figure 2 c. Figure 1 d. Figure 4

#### Solution:

By placing Figure 4 at the incomplete portion of the given figure, it completes the rectangle.

So, the shape in Figure 4 completes the rectangle.

6.
Identify the shape that completes the circle.

 a. Figure 4 b. Figure 3 c. Figure 1 d. Figure 2

#### Solution:

By placing Figure 3 at the incomplete portion of the given figure, it completes the circle.

So, the shape in Figure 3 completes the circle.

7.
Which shape completes the square?

 a. Figure 4 b. Figure 2 c. Figure 3 d. Figure 1

#### Solution:

By placing Figure 2 at the incomplete portion of the given figure, it completes the square.

So, the shape in Figure 2 completes the square.

8.
Which shape completes the triangle?

 a. Figure 2 b. Figure 1 c. Figure 3 d. Figure 4

#### Solution:

By placing Figure 3 at the bottom of the given figure, it completes the triangle.

So, the shape in Figure 3 completes the triangle.

9.
Identify the two shapes that, when put together, would form a square.

 a. Figure 4 b. Figure 3 c. Figure 1 d. Figure 2

#### Solution:

A square is a quadrilateral which has four equal sides.

Among the choices, the shapes in the Figure 4 combine to form a square as shown.

10.
Which pairs in the given figures can be combined to make a rectangle?

 a. Figure 3 only b. Figure 4 only c. Figure 2 only d. Figure 1 and Figure 2 only

#### Solution:

Rectangle has two pair of opposite sides of equal length and all four angles are right angles.

Among the Figures, we can make rectangles by combining the pairs in Figure 1 and Figure 2 as shown.