﻿ Combining Shapes Worksheet | Problems & Solutions
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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.

Correct answer : (4)
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.

Correct answer : (4)
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.

Correct answer : (3)
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.

Correct answer : (4)
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.

Correct answer : (4)
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.

Correct answer : (2)
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.

Correct answer : (2)
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.

Correct answer : (3)
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.

Correct answer : (1)
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.

Correct answer : (4)

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