Module.pdf

MATHEMATICS 7 QUARTER 3 WEEK 1 1
NAME: ____________________________________________________ GR. & SEC: ___________
Competencies:
The learner represents a point, line and plane using concrete and pictorial models (M7GE-IIIa-1); illustrates
subsets of a line (M7GE-IIIa-2); and classifies the different kinds of angles (M7GE-IIIa-3).
To the Learners:
Before starting the module, I want you to set aside other tasks that will disturb you while enjoying the
lessons. Read the simple instructions below to successfully enjoy the objectives of this kit. Have fun!
1. Follow carefully all the contents and instructions indicated in every page of this module.
2. Writing enhances learning. Keep this in mind and take note of important concepts on your notebook.
3. Perform all the provided activities in the module.
4. Let your facilitator/guardian assess your answers using the answer key card.
5. Analyze conceptually the post-test and apply what you have learned.
6. Enjoy studying!
Expectations
This module was designed to help you master on how to describe points, lines, and planes using concrete
and pictorial models; portray subsets of a line; and categorize the different kinds of angles as acute, right, and
obtuse.
After going through this module, you are expected to:
1. represent points, lines, and planes using concrete and pictorial models;
2. illustrate subsets of a line; and
3. classify the different kinds of angles.
Pre-test
Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper.
1. Which of the following has one endpoint?
A. line C. ray
B. line segment D. bisector
MATH 7
QUARTER 3 Week 1

2. It is a set of points that extends infinitely in opposite directions.
A. point C. plane
B. line D. space
3. It is the union of two rays with a common endpoint.
A. plane C. space
B. angle D. segment
4. An angle whose measure is 25˚ is an example of a/an ______ angle.
A. acute C. obtuse
B. right D. vertical
5. An exact location in space with no length or width is called __________.
A. ray C. point
B. line D. line segment
6. It is a flat two-dimensional surface that contains points, lines, and line segments.
A. point C. line
B. line segment D. plane
7. A small seed is a concrete model of ________.
A. point C. plane
B. angle D. line
8. It is an angle with a measure of exactly 90.
A. acute angle C. obtuse angle
B. right angle D. none of these
9. It is used to measure an angle in degrees.
A. compass C. ruler
B. protractor D. tape measure
10. Which of the following real objects suggests a line segment?
A. the edge of a table C. the wall of your room.
B. the tip of your pen. D. the floor of a newly constructed building.
Looking Back at your Lesson
From your previous lesson, you have learned how to solve problems involving equations and inequalities
in one variable. You solve inequalities like you solve equations. You use the same strategies in adding or
subtracting the same quantities to both sides, multiplying both sides by the same number or expression, and so
on. However, when you multiply or divide each side of an inequality by the same negative number, the inequality
symbol must be reversed for the inequality to be true.
Your knowledge about these things might be helpful for you in the next grade level. For this quarter, you
will learn more about the geometry of shapes and sizes.

Introduction of the Topic
Lesson 1: Representing Point, Line, and Plane using Concrete and Pictorial
Model
The three undefined terms in Geometry are point, line, and plane.
1. Point
⮚ It is so small that it can never be measured because it has no dimensions at all.
⮚ It has no width, no length, and no thickness.
⮚ All other geometric figures are made up of a collection of points.
⮚ A point is pictorially modeled by a small dot and is named by a capital letter.
Examples: A read as Point A
B read as Point B
C read as Point C
⮚ Concrete models of a point include a small seed, a tiny pebble, grain of sand, and a speck of dust.
2. Line
⮚ It is a set of points extending toward opposite directions without end.
⮚ Its length is endless and it has no definite width and thickness.
⮚ You can name a line by identifying two points on it, such as AB
⃡ (read as “line AB”) or a single lowercase
letter, such as m (read as “line m”). Below is the pictorial representation of a line.
⮚ Concrete models of a line include a string, a wire, curtain rods, and a straight path. However, a line is
longer than any of the given concrete models.
picture source: https://stock.adobe.com/
3. Plane
⮚ It is a flat surface that extends infinitely along its length and width.
⮚ It has a length and width but no thickness.
⮚ You can name a plane either with a single capital letter or by naming at least three points on the plane
that do not lie on a single line. Below is the pictorial representation of a plane.
grain of sand
tiny pebble
small seed
A
B m
string copper wire curtain rod

This plane can be named as Plane ABC, Plane BCA, Plane CBA,
Plane BAC, Plane ACB, Plane CAB, Plane P, or P.
⮚ A sheet of paper, a blackboard, the top of a table, and a wall are some of the examples of concrete
models of a plane.
picture source: https://stock.adobe.com/
Lesson 2: Illustrating Subsets of a Line
1. Line segment
⮚ A line segment is a part of a line that has two distinct endpoints. Because of these endpoints, unlike a
line, a line segment does not extend infinitely. Rather, it is finite, with a measurable length.
Examples:
✔ Line segment AB which can be written as AB
̅̅̅̅
✔ Line segment BC which can be written as BC
̅̅̅̅
✔ Line segment BA which can be written as BA
̅̅̅̅
✔ Line segment CB which can be written as CB
̅̅̅̅
2. Ray
⮚ A ray is also a part of a line but has only one endpoint, called its origin, and extends infinitely in the other
direction. You name a ray by its endpoint and one of its points. You always start on the endpoint. Like
lines, rays are infinite and therefore immeasurable. Rays may sometimes be referred to as half-lines.
Examples:
✔ Ray BC which can be written as 𝐵𝐶
✔ Ray BA which can be written as 𝐵𝐴
Lesson 3: Kinds of Angles
An angle is formed by two non-collinear rays that have a common endpoint. The endpoint is the vertex of the
angle and each ray is the side of the angle.
A protractor is used to measure an angle.
A
C
P
B
sheet of paper blackboard top of a table
B
A C
B
A C

KINDS OF ANGLES
Acute angle Right angle Obtuse angle
Definition an angle that is less
than 90°
an angle of exactly
90°
an angle of more than
90°
Examples/pictorial
Representation
Activities
Activity 1
Determine if the following represents a POINT, a LINE, or a PLANE.
_______ 1. A blackboard in your classroom _______ 6. The corner of a room
_______ 2. A table top _______ 7. The crease in a folder paper
_______ 3. A tip of a laser _______ 8. A knot in a piece of thread
_______ 4. A telephone wire _______ 9. A rectangular calendar
_______ 5. The tip of a pen _______ 10. A string of a guitar
Activity 2
Name five (5) line segments and five (5) rays that you can see on the line below.
Line segments Rays
1. ______ 1. ______
2. ______ 2. ______
3. ______ 3. ______
4. ______ 4. ______
5. ______ 5. ______
Activity 3
Determine if the angle described is ACUTE, RIGHT, or OBTUSE.
________ 1. 45˚ ________ 6. 14˚
________ 2. 37˚ ________ 7. 89˚
________ 3. 103˚ ________ 8. 155˚
________ 4. 115˚ ________ 9. 22˚
________ 5. 90˚ ________ 10. 148˚
C
B
A D
]
E
]

Remember
❖ Point, Line, and Plane are the three undefined terms in Geometry.
❖ A point has no width, no length, and no thickness. A point is pictorially modeled by a small dot and is
named by a capital letter. Concrete models of a point include a small seed, a tiny pebble, grain of sand,
and a speck of dust.
❖ A line is a set of points extending toward opposite directions without end. Concrete models of a line
include a string, a wire, a curtain rod, and a straight path. However, a line is longer than any of the given
concrete models. It is pictorially modeled by a straight line with two arrowheads on both ends.
❖ A plane has a length and width but no thickness. A sheet of paper, a blackboard, the top of a table, and
a wall are some of the examples of concrete models of a plane.
❖ The subsets of a line are the line segment and ray. A line segment is a piece of a line that has two distinct
endpoints. A ray has exactly one endpoint, called its origin, and extends infinitely in the other direction.
❖ The three classifications of angles are acute angle, right angle, and obtuse angle. An acute angle
measures less than 90˚. A right angle measures exactly 90˚. An obtuse angle measures more than 90˚
Check Your Understanding
A. Use the words point, line, plane, ray, and segment to answer the following questions.
___________ 1. Which is made up of infinite number of points?
___________ 2. Which has two endpoints?
___________ 3. Which is extended in one direction without end?
___________ 4. Which has no size?
___________ 5. Which is a flat surface that extends without end in all directions?
B. Tell whether each picture illustrates an acute, right, or obtuse angle.
1. 2. 3.

4. 5.
Post Test
1. Which of the following has one endpoint?
A. line C. ray
B. line segment D. bisector
2. It is a set of points that extends infinitely in opposite directions.
A. point C. plane
B. line D. space
3. It is the union of two rays with a common endpoint.
A. plane C. space
B. angle D. segment
4. An angle whose measure is 25˚ is an example of a/an ______ angle.
A. acute C. obtuse
B. right D. vertical
5. An exact location in space with no length or width is called __________.
A. ray C. point
B. line D. line segment
6. It is a flat two-dimensional surface that contains points, lines, and line segments.
A. point C. line
B. line segment D. plane
7. A small seed is a concrete model of ________.
A. point C. plane
B. angle D. line
8. It is an angle with a measure of exactly 90.
A. acute angle C. obtuse angle
B. right angle D. none of these
9. It is used to measure an angle in degrees.
A. compass C. ruler
B. protractor D. tape measure
10. Which of the following real objects suggests a line segment?
A. The edge of a table C. The wall of your room.
B. The tip of your pen. D. The floor of a newly constructed building.

Additional Activities
To better understand the lesson, watch the video lesson on https://www.youtube.com/watch?v=OgNH3xrhtdg
entitled “INTRODUCTION TO GEOMETRY”.
Reflections:
After reading the lessons and doing the activities in this module, write what you have learned about the
undefined terms in Geometry, Subsets of a line, and the Classification of angles in the graphic organizer below.
UNDEFINED
TERMS
IN GEOMETRY
A.
B. SUBSETS OF A LINE
C.
KINDS OF
ANGLES

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