All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 14 Lesson 5 Shared Attributes of Quadrilaterals **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 14 Lesson 5 Shared Attributes of Quadrilaterals

**Math in My World**

**Example 1**

The diagram shows how quadrilaterals are related. What attributes are shared by both rectangles and squares?

Rectangles and squares share the following attributes.

- Opposite sides are the same _________________.
- Both pairs of _________________ sides are parallel.
- There are _________________ right angles.

Answer:

The opposite sides are the same length.

Both pairs of opposite sides are parallel.

There are 4 right angles.

**Example 2**

A parallelogram has opposite sides that are the same length and both pairs of opposite sides parallel. It also has opposite angles that are the same size. Draw an example of a quadrilateral that is not a parallelogram.

Classify the quadrilateral you drew. Explain why it is not a parallelogram.

Answer:

The figure is a quadrilateral. Because the two opposite angles are equal.

The figure is not a parallelogram. Because both pairs of opposite sides are not equal.

**Talk Math**

Describe how a square has all the attributes of a rectangle.

Answer:

The square has all the attributes of a rectangle.

The square and rectangle is a quadrilateral with four sides and four angles.

The square and rectangle have four angles of 90 degrees each.

The square and rectangle bisect each other.

**Guided Practice**

Question 1.

Name one attribute that a square has that a rhombus does not have.

Answer:

The square and rhombus have 4 equal sides.

The one attribute that a square has that a rhombus does hot have is the square has four 90 degrees and the rhombus has two 90 degrees.

Question 2.

Draw an example of a quadrilateral that is not a rhombus.

Classify the quadrilateral you drew. Explain why it is not a rhombus.

Answer:

The given figure is a quadrilateral but it is not a rhombus. because the rhombus has 4 equal sides but the above figure has 2 opposite sides that are equal.

**Independent Practice**

Question 3.

Complete the attributes of a rhombus.

Opposite sides are _______________.

Opposite angles are the _______________ size.

The figure has _______________ sides that are the same length.

Answer:

The opposite sides are parallel.

Opposite angles are the same size.

The figure has four sides that are the same length.

Question 4.

Name 3 other quadrilaterals that have all the attributes of a parallelogram.

Answer:

The square, rectangle, and rhombus have all the attributes of a parallelogram.

Question 5.

Name another quadrilateral that has all the attributes of a rectangle.

Answer:

The other quadrilateral is a square that has all the attributes of the rectangle.

Question 6.

Draw an example of a quadrilateral that is neither a square, a rectangle, nor a rhombus.

Classify the quadrilateral you drew. Explain why it is not a square, a rectangle, or a rhombus.

Answer:

Kite is a quadrilateral with exactly two pairs of adjacent and congruent sides. It is not a square, rectangle and rhombus.

**Problem Solving**

**For Exercises 7 and 8, state whether the statement is true or false. If false, explain why.**

Question 7.

All parallelograms have opposite sides that are the same length and parallel. Since rectangles are parallelograms, all rectangles have opposite sides that are the same length and parallel.

Answer:

The answer is true.

All parallelograms have opposite sides that are the same length and parallel.

The rectangles are parallelograms.

All rectangles have opposite sides that are the same length and parallel.

Question 8.

**Mathematical PRACTICE** Justify Conclusions All squares have four sides that are the same length. Since rectangles are squares, all rectangles have four sides that are the same length.

Answer:

The answer is false.

All squares have four sides that are the same length.

Therefore the rectangles are squares but all rectangles have four sides that are not the same length.

In the rectangle opposite sides are equal.

**HOT Problems**

Question 9.

**Mathematical PRACTICE** Which One Doesn’t Belong? Circle the quadrilateral that does not belong with the other three. Explain your reasoning.

Answer:

The circled figure does not belong to the quadrilateral. Because the figure does not have the same attributes as a quadrilateral.

Question 10.

**Building on the Essential Question** Explain how a parallelogram is a special kind of polygon.

Answer:

The parallelogram is a polygon. Because it is 2 Dimensional geographical shape. It has four sides and the pair of parallel sides length are same. Some of the adjacent sides of the parallelogram is 180 degrees.

### McGraw Hill My Math Grade 3 Chapter 14 Lesson 5 My Homework Answer Key

**Practice**

Question 1.

Complete the attributes of a rectangle.

Opposite sides are ________________.

Opposite sides are the same ________________

The figure has ________________ right angles.

Answer:

The opposite sides are parallel.

The opposite sides are the same in length.

The figure has 4 right angles.

Question 2.

Circle the quadrilateral(s) that have all the attributes of a rectangle.

trapezoid

parallelogram

square

rhombus

Answer:

The quadrilaterals that have all the attributes of the rectangle are square and rhombus.

**Problem Solving**

Question 3.

**Mathematical PRACTICE** Reason State whether the following statement is true or false. If false, explain why. A trapezoid can also be classified as a parallelogram because it has parallel sides.

Answer:

The answer is false.

The trapezoid as one pair of parallel sides and parallelogram has two pair of parallel sides.

**For Exercises 4-6, draw a quadrilateral that has the given attributes in the space provided.**

Question 4.

opposite sides are parallel

Answer:

The parallelogram is a quadrilateral.

In the parallelogram opposite sides are parallel.

Question 5.

four right angles

Answer:

The rectangle is a quadrilateral.

The rectangle has four right angles.

Question 6.

four sides of equal length

Answer:

The square is a quadrilateral.

The square has four sides of equal length.

**Test Practice**

Question 7.

Which statement about the figures shown below is true?

(A) Figures 1 and 2 are parallelograms

(B) Figures 1 and 4 are quadrilaterals.

(C) Figures 1 and 2 are rectangles.

(D) Figures 1 and 3 are parallelograms.

Answer:

In the given, four figures figure 1 and 2 are parallelograms.

Option A is the correct answer.