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For the following figure, name each figure that is (a) a parallelogram (b) a rectangle (c) a rhombus (d) a square.

Short Answer

Expert verified

a. The figures that represents a parallelogram are 1,4,5,7,8,9,10 and 12.

b. The figures that represents a rectangle are 2,4,8,9 and 10.

c. The figures that represents a rhombus are 2,5,9 and 12.

d. The figures that represents a square are 2,9.

Step by step solution

01

a. Step 1- Apply the concept of the parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

02

Step 2- observe the figure

Consider the figure.

03

Step 3-step description.

Since a parallelogram is a figure with two pairs of parallel side. Check the figure and write the name which represents a parallelogram as follows:

1,4,5,7,8,9,10 and 12

Therefore, the figures that represents a parallelogram are 1,4,5,7,8,9,10 and 12.

04

b. Step 1- Apply the concept of the rectangle.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle.

05

Step 2- observe the figure

Consider the figure.

06

Step 3-step description.

Since a rectangle is a figure with four right angles. Check the figure and write the name which represents a rectangle as follows:

2,4,8,9 and 10

Therefore, the figures that represents a rectangle are 2,4,8,9 and 10.

07

c. Step 1- Apply the concept of the rhombus.

A rhombus is a quadrilateral whose four sides all have the same length.

08

c. Step 1- Apply the concept of the rhombus.

A rhombus is a quadrilateral whose four sides all have the same length.

09

Step 2- observe the figure

Consider the figure.

10

Step 3-step description.

Since a rhombus is a figure with four sides with same length. Check the figure and write the name which represents a rhombus as follows:

2,5,9 and 12

Therefore, the figures that represents a rhombus are 2,5,9 and 10.

11

d. Step 1- Apply the concept of the square.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length.

12

Step 2- observe the figure

Consider the figure.

13

Step 3-step description.

Since a square is a figure with four sides with same length and same angles. Check the figure and write the name which represents a rhombus as follows:

2 and 9

Therefore, the figures that represents a square are 2 and 9.

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