All the solutions provided inÂ **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 14 Lesson 4 Quadrilaterals **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 14 Lesson 4 Quadrilaterals

Some quadrilaterals have sides that are parallel, or equal distance apart.

**Math in My World**

**Example 1**

The Eiffel Tower shown is in Paris, France. Describe whether any of the sides in the quadrilateral outlined in green are parallel.

The top and _____________ sides of the quadrilateral are parallel.

A quadrilateral with exactly one pair of parallel sides is a trapezoid.

So, the quadrilateral outlined in green is a _____________.

Some quadrilaterals have both pairs of opposite sides parallel. Those quadrilaterals are called parallelograms. Parallelograms have the attributes shown in the table below.

Parallelograms

- both pairs of opposite sides parallel
- opposite sides have the same length
- opposite angles are the same size

Answer:

The top and bottom sides of the quadrilateral are parallel.

A quadrilateral with exactly one pair of parallel sides is a trapezoid.

So, the quadrilateral outlined in green is a Trapezoid.

There are many kinds of parallelograms. You can classify quadrilaterals, including parallelograms, using the following attributes.

- side lengths
- parallel sides
- right angles

**Example 2**

Use a centimeter ruler to measure the side lengths of each parallelogram below to the nearest centimeter. Record your results in the table.

Which parallelograms have all sides equal in length? _______________

Which parallelograms have four right angles? _______________

A rectangle is a parallelogram with four right angles.

A rhombus is a parallelogram with four equal sides.

A square is a parallelogram with four right angles and four equal

Figure 1 is a _______________ .

Figure 2 is a rectangle, a rhombus, and a _______________

Figure 3 is a _______________.

Answer:

Given that the parallelograms are figure 1, figure 2 and figure 3.

Know use a centimeter scale and measure the lengths of the parallelograms and not in the table.

The figure 2 and figure 3 parallelograms have all sides equal in length.

The figure 1 and figure 3 parallelograms have four right angles

Figure 1 is a rectangle.

Figure 2 is a square.

Figure 3 is a rhombus.

**Talk Math**

Tell why a square is a special kind of parallelogram.

Answer:

Square is a special find of parallelogram it has four sides and four right angles.

**Guided Practice**

Question 1.

Refer to Example 2. Describe three attributes that Figures 1 and 2 have in common.

Answer:

The three common attributes of figure 1 and figure 2 is,

Both the figures has right angles, parallel sides and there opposite sides have the same length.

**Independent Practice**

**Check all the attributes that describe each quadrilateral.**

Question 2.

opposite sides are equal length

one pair

both pairs

all four sides same length

opposite sides are parallel

one pair both pairs

right angles .

0 1 2 4

This quadrilateral is classified as a ______________.

Answer:

Given that the shape is quadrilateral.

The attributes of the given quadrilateral are

Both pair of opposite sides are equal length.

Both pair of opposite sides are parallel.

It has 4 right angles.

This quadrilateral is classified as a rectangle.

Question 3.

opposite sides are equal length

no pairs

both pairs

all four sides same length

opposite sides are parallel

one pair both pairs

right angles .

0 1 2 4

This quadrilateral is classified as a ______________.

Answer:

Given that,

The shape is a quadrilateral.

The attributes of theÂ given quadrilateral are

No pairs of opposite sides are equal length.

One pair of opposite sides are parallel.

It has 0 right angles.

This quadrilateral is classified as a trapezium.

Question 4.

opposite sides are equal length

no pairs

both pairs

all four sides same length

opposite sides are parallel

one pair both pairs

right angles .

0 1 2 4

This quadrilateral is classified as a ______________.

Answer:

Given that,

The shape is a quadrilateral.

The attributes of theÂ given quadrilateral are

All four sides same length of opposite sides are equal length.

Both pairs of opposite sides are parallel.

It has 0 right angles.

This quadrilateral is classified as a Rhombus.

Question 5.

opposite sides are equal length

no pairs

both pairs

all four sides same length

opposite sides are parallel

one pair both pairs

right angles .

0 1 2 4

This quadrilateral is classified as a ______________.

Answer:

Given that,

The shape is a quadrilateral.

The attributes of theÂ given quadrilateral are

Both pairs of opposite sides are equal length.

Both pairs of opposite sides are parallel.

It has 0 right angles.

This quadrilateral is classified as a parallelogram.

**Problem Solving**

Question 6.

The oldest tennis tournament is played at Wimbledon in London. Describe the attributes of the shape of the tennis court. Then classify it.

Answer:

Given that,

The oldest tennis tournament is played at Wimbledon in London.

The tennis court is in the shape of rectangle.

The attributes of the rectangle are It has a parallel sides, right angles and It both pair of opposite sides.

Question 7.

Hilary bought an eraser like the one shown. Classify the quadrilateral formed by the side of the eraser.

Answer:

Given that,

Hilary bought an eraser.

The side of the eraser has four sides,

Both sides are parallel.

Therefore the quadrilateral formed by the side of the eraser is a parallelogram.

Question 8.

Kaila is thinking of a quadrilateral. Both pairs of opposite sides are parallel. All four sides are the same length. There are 4 right angles. Draw and label the quadrilateral below.

Answer:

Given that,

Both pairs of opposite sides are parallel.

All four sides are the same length.

There are 4 right angles.

Therefore the quadrilateral is a square.

**HOT Problems**

Question 9.

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

parallelogram

rhombus

square

trapezoid

Answer:

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

so, circle the square.

Question 10.

**Mathematical PRACTICE** Identify Structure Circle the quadrilateral(s) that have all the attributes of a parallelogram.

rectangle

rhombus

trapezoid

square

Answer:

The rectangle is a quadrilateral it has all the attributes of a parallelogram. Because the rectangle has all the properties of parallelogram.

So, circle the rectangle.

Question 11.

**Building on the Essential Question** How can I classify quadrilaterals using their attributes?

Answer:

I can classify the quadrilaterals using the side lengths, parallel sides and right angles.

### McGraw Hill My Math Grade 3 Chapter 14 Lesson 4 My Homework Answer Key

**Practice**

**Describe the attributes of each quadrilateral. Then classify the quadrilateral.**

Question 1.

Answer:

Given that the figure is quadrilateral

It also can be classified has a square.

The attributes of the square is

The square has 4 right angles.

The opposite sides are parallel.

All the four sides has equal length.

Question 2.

Answer:

Given that the figure is a quadrilateral.

The given quadrilateral can be classified has a trapezium.

The attributes of the trapezium are

It has four sides, four angles and four vertices.

Both the diagonals has same length.

The bases of the trapezium is parallel to each other.

The diagonals of the trapezium always intersects.

Question 3.

Circle the quadrilateral(s) that do not have all the attributes of a parallelogram.

rectangle

rhombus

square

trapezoid

Answer:

The trapezoid is a quadrilateral it has no attributes of a parallelogram. Because the trapezoid has only one pair of parallel sides.

So, circle the trapezoid.

**Problem Solving**

**Mathematical PRACTICE** Identify Structure Check all the quadrilaterals that have the given attributes.

Question 4.

Both pairs of opposite sides

parallelogram

rhombus

rectangle

square

trapezoid

Answer:

The parallelogram, rhombus and rectangle has both pairs of opposite sides.

Question 5.

Exactly one pair of opposite are parallel sides is parallel.

parallelogram

rhombus

rectangle

square

trapezoid

Answer:

the trapezoid has exactly one pair of opposite are parallel sides is parallel.

Question 6.

There are four right angles,

parallelogram

rhombus

rectangle

square

trapezoid

Answer:

The parallelogram, rhombus, rectangle and square has four right angles.

Question 7.

There are 4 sides that are the same length.

parallelogram

rhombus

rectangle

square

trapezoid

Answer:

The square has 4 sides that are the same length

**Vocabulary Check**

**Fill in each blank with a word that makes each sentence true.**

Question 8.

A square is a parallelogram with _______________ right angles and four sides that are the same length.

Answer:

A square is a parallelogram with four right angles and four sides that are the same length.

Question 9.

Sides that are the same distance apart are ______________ sides.

Answer:

Sides that are the same distance apart are parallel sides.

**Test Practice**

Question 10.

Which of these shapes appears to be a quadrilateral, but not a parallelogram?

Answer:

Trapezium is a quadrilateral that is not a parallelogram. Because its two sides are not equal.

Option D is the correct answer.