All the solutions provided in **McGraw Hill My Math Grade 4 Answer Key PDF Chapter 14 Lesson 1 Draw Points, Lines, and Rays **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 14 Lesson 1 Draw Points, Lines, and Rays

A point is an exact location that is represented by a dot. A line is a straight set of points that extends in opposite directions without ending.

**Math in My World**

**Example 1**

Molly drew the figure shown. Identify the figure she drew.

The figure extends in opposite directions. The arrows indicate that it extends without ending. It is a line.

This line is labeled with point X and point Y. There are different ways to represent this line, such as line XY or \(\overleftrightarrow{X Y}\).

So, Molly drew _________________.

Answer: A line

A line is a straight set of points that extends in opposite directions without ending.

**Example 2**

Draw a figure that could be represented by \(\overline{C D}\).

\(\overline{C D}\) represents a line segment with endpoints C and D.

Answer:

A line segment is part of a line between two endpoints. Here, the endpoints are represented using C and D with blue color.

**Example 3**

Identify the figure at the right.

The figure has one endpoint and extends in one direction without ending. It is a ray.

The endpoint is A. The ray extends in the direction of point B.

So, the figure is ______________.

Answer: A ray

A ray is a part of a line that has one endpoint and extends in one direction without ending.

**Guided Practice**

**Identify each figure.**

Question 1.

Answer: Line segment

QR represents a line segment. A line segment is part of a line between two endpoints.

Question 2.

Answer: Line

FB represents a line. A line is a straight set of points that extends in opposite directions without ending.

Question 3.

Answer: Ray

AC represents a ray. A ray is a part of a line that has one endpoint and extends in one direction without ending.

Question 4.

Answer: Line

DF represents a line. A line is a straight set of points that extends in opposite directions without ending.

**Talk Math**

How are lines and line segments alike? How are they different?

Answer: 1) A line is a straight set of points that extends in opposite directions without ending. The line segment does not extend in both directions since it has a starting and an ending point.

2) The line doesn’t have an endpoint. A line segment is part of a line between two endpoints.

3) The length of the line cannot be measured. The length of the line segment can be measured.

4) The line is represented as – AB and a horizontal line with arrow marks above the AB, i.e. \(\overleftrightarrow{A B}\). Whereas, the line segment is denoted as – AB and a horizontal line above the AB, i.e. \(\overline{A B}\).

**Independent Practice**

**Identify each figure.**

Question 5.

Answer: Ray

FG represents a ray. A ray is a part of a line that has one endpoint and extends in one direction without ending.

Question 6.

Answer: Line segment

HK represents a line segment. A line segment is part of a line between two endpoints.

Question 7.

Answer: Line

LM represents a line. A line is a straight set of points that extends in opposite directions without ending.

Question 8.

Answer: Line segment

NO represents a line segment. A line segment is part of a line between two endpoints.

**Draw each figure.**

Question 9.

point T

Answer:

An exact location represented by a dot is a point. Here T represents a point which is indicated as blue dot.

Question 10.

\(\overleftrightarrow{Y Z}\)

Answer:

A line is a straight set of points that extends in opposite directions without ending. YZ represents a line where it extends infinitely.

Question 11.

\(\overrightarrow{C R}\)

Answer:

A ray is a part of a line that has one endpoint and extends in one direction without ending. CR represents a ray with one end point C and extends infinitely in one direction.

Question 12.

\(\overline{A W}\)

Answer:

A line segment is part of a line between two endpoints. AW here indicates a line.

Question 13.

\(\overleftrightarrow{S N}\)

Answer:

A line is a straight set of points that extends in opposite directions without ending. SN represents a line where it extends infinitely.

Question 14.

\(\overrightarrow{T J}\)

Answer:

A ray is a part of a line that has one endpoint and extends in one direction without ending. TJ represents a ray with one end point T and extends infinitely in one direction.

**Problem Solving**

Question 15.

Identify the figure that is shown on the stop sign.

Answer: The figure that is shown on the stop sign is a red colored octagon. Octagon is a eight-sided polygon. So it has eight line segments in the figure which forms as an octagon. A line segment is part of a line between two endpoints.

Question 16.

**Mathematical PRACTICE** Use Math Tools Use a pencil to draw a different type of traffic sign than a stop sign. Then use a crayon or marker to show a line segment on the sign.

Answer:

NO PARKING traffic signal is shown in the above figure. It has a line segment enclosed in a circle. The line segment is represented along side using a black line segment in the sign. A line segment is part of a line between two endpoints.

Question 17.

**Mathematical PRACTICE** Model Math Name three real-world examples of line segments.

Answer: The real life examples of a line segments are edges of a wall, table edge, ruler, pencil, edges of a paper.

**HOT Problems**

Question 18.

**Mathematical PRACTICE** Use Math Tools Draw a line segment that is greater than 2 inches and less than 5 inches.

Answer:

The above figure represents a line segment that is greater than 2 inches and less than 5 inches. A line segment is part of a line between two endpoints. The endpoints are represented here as A and B.

Question 19.

**Building on the Essential Question** Explain the similarities and differences of lines and line segments.

Answer: 1. A line is a straight set of points that extends in opposite directions without ending. The line segment does not extend in both directions since it has a starting and an ending point.

2. The line doesn’t have an endpoint. A line segment is part of a line between two endpoints.

3. The length of the line cannot be measured. The length of the line segment can be measured.

4. The line is represented as – XY and a horizontal line with arrow marks above the XY, i.e. \(\overleftrightarrow{X Y}\). Whereas, the line segment is denoted as – XY and a horizontal line above the XY, i.e. \(\overline{X Y}\).

### McGraw Hill My Math Grade 4 Chapter 14 Lesson 1 My Homework Answer Key

**Practice**

**Identify each figure.**

Question 1.

Answer: Line segment

VZ represents a line segment. A line segment is part of a line between two endpoints.

Question 2.

Answer: Line

MN represents a line. A line is a straight set of points that extends in opposite directions without ending.

**Draw each figure.**

Question 3.

\(\overline{Y B} \)

Answer:

A line segment is part of a line between two endpoints. YB here indicates a line.

Question 4.

\(\overrightarrow{L R}\)

Answer:

A ray is a part of a line that has one endpoint and extends in one direction without ending. LR represents a ray with one end point L and extends infinitely in one direction.

**Problem Solving**

Question 5.

How many line segments are represented in this figure?

How many points are represented in this figure?

Answer: There are 4 line segments represented in the above figure. The line between the two endpoints are treated as a line segment.

There are 4 points represented in the above figure. A point is an exact location that is represented by a dot.

**Vocabulary Check**

Choose the correct word(s) to complete each sentence.

endpoint

line

line segment

point

ray

Question 6.

A ______________ is part of a line between two endpoints.

Answer: Line segment

A Line segment is part of a line between two endpoints.

Question 7.

An exact location represented by a dot is a _______________.

Answer: point

An exact location represented by a dot is a point

Question 8.

A _______________ is a figure that extends in opposite directions without ending.

Answer: line

A Line is a figure that extends in opposite directions without ending.

Question 9.

A ray has one _______________.

Answer: endpoint

A ray has one endpoint

Question 10.

A _______________ extends in one direction without ending.

Answer: Ray

A Ray extends in one direction without ending.

**Test Practice**

Question 11.

Which is the correct way to represent the figure?

(A) ray WB

(B) line segment WB

(C) \(\overline{W B}\)

(D) \(\overleftrightarrow{W B}\)

Answer: D (\(\overleftrightarrow{W B}\))

The line is represented as – WB and a horizontal line with arrow marks above the WB, i.e. \(\overleftrightarrow{W B}\).