Week 1 - LS3 - Lines and Angles

Week 1: Learning Strand 3 (Mathematical and Problem-Solving Skills)
Topic: Lines, Angles and Plane Figures
A line has no definite beginning and end. It can only be measured when two points called endpoints are given on
either side of it. These points represent the beginning and end of the given line, which is then more properly called a
line segment. There are basically two kinds of lines—straight and curved lines.
Straight lines are further subdivided into the following kinds of lines:
1. Parallel lines are lines in the same plane which run beside each other without meeting at any point no matter how
far they are extended.
2. Intersecting lines are lines in the same plane that intersect with each other at least at one point.
3. Perpendicular lines are lines in the same plane that intersect each other at one point and form 90º-angles.
An angle is the figure formed when two rays or lines intersect at one point. Its kinds include:
1. Acute angle—This is an angle that measures less than 90º
2. Right angle—This is an angle that measures exactly 90º.
3. Obtuse angle—This is an angle that measures more than 90º but less than 180º.
4. Straight angle—This is an angle that measures exactly 180º.
Plane Figures
There are many kinds of plane figures but we will only focus on the following.
1. Trapezoid—A quadrilateral having a. Triangle—A polygon having three sides.

only two sides parallel.
2. Parallelogram—A b. Pentagon—A polygon having five sides.

quadrilateral with opposite sides
parallel and equal. c. Hexagon—A polygon having six sides.
d. Octagon—A polygon having eight sides.

3. Rhombus—A parallelogram with
four equal sides and sometimes one 7. Circle—A closed plane curve every point
with no right angles. of which is of the same distance from a fixed
point within the curve.
4. Rectangle—A parallelogram all
of whose angles are right angles. 8. Oblong—A plane deviating from a
square, circular or spherical form by
5. Square—A rectangle with all four sides elongation in one dimension.
equal.
6. Polygons—Closed plane figures bounded by straight
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lines.
Space figures or three-dimensional figures are figures that have depth in addition to width and height. Some common
simple space figures include cubes, spheres, cylinders, prisms, cones and pyramids. Let us discuss each of in more
detail below.
1. Cube—This is a three-dimensional figure 5. Pyramid—This is a space figure with a
having six matching square sides. An square base and four triangular-shaped sides.
example of this is a box. Examples of this are the pyramids you can
see in Egypt.
2. Cylinder—This is a space figure having 6. Tetrahedron—This is a four-sided space
two congruent circular bases that are parallel. figure. Each of its faces is a triangle. An
An example of this is a pitcher or a drinking example of this is the Tetra Pak some
glass. commercial fruit juices like Zip use.
3. Sphere—This is a space figure having all 7. Prism—This is a space figure

of its points the same distance from its with two congruent parallel bases
center. An example of this is a basketball. that are polygons. The most
common kind of this figure is the
triangular prism. An example of
this is the box that Toblerone is kept in.
4. Cone—This is a space figure having a
circular base and a single vertex. An example
of this is an ice cream cone.
Name: __________________________________ Date: ___________________________
Teacher________________________________ Level: _____________ Score: ______
LS 3 Topic: Lines, Angles, and Plane & Space Figures
PRETEST:
A. Encircle the letter of the correct answer to each of the following.
1. A _____ has two circular bases.
a. cone b. circle c. cylinder d. sphere
2. A _____ has three sides and three corners.
a. triangle b. square c. rectangle d. trapezoid
3. A _____ has four equal sides and four corners.
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a. rectangle b. square c. trapezoi d. rhombus
4. Three-dimensional shapes are called _____.
a. triangles b. cones c. space figures d. planes
5. Two-line segments are _____ if their measurements are the same.
a. equivalent b. congruent c. similar d. adjacent
POST TEST:
Quiz 1: Determine whether each of the sets of lines are parallel, Quiz 1: Write TRUE in the blank if the
intersecting or perpendicular. Write Pa for parallel, I for statement is true and FALSE if it is false.
intersecting and Pe for perpendicular your paper. ______ 1. A sphere has no base.
a. b. c. ______ 2. Two line segments are congruent if
they have the same measurement.
______ 3. A polygon with four equal sides is
called a rectangle.
d. e. f. ______ 4. All prisms are cubes.
______ 5. A line has no beginning and no end.
Quiz 2. Write the letter and words in the

blanks before each number. Choose the answers from the box of words below.
a. Perpendicular b. Ray
c. Obtuse d. Parallel
e. Congruence f. Right
g. Intersecting h. Acute
i. Straight j. Line
k. Shapes
__________________________ 1. A figure that has no definite beginning and end.
__________________________ 2. Two lines that do not and will not intersect no matter how far they are extended.
__________________________ 3. Two lines that form 90º-angles with each other.
__________________________4. Two lines that cross each each other at any one point.
__________________________ 5. Refers to the state of agreeing or coinciding.
__________________________ 6. A figure that has a beginning but no definite end.
__________________________ 7. An angle which measures less than 90º.
__________________________ 8. An angle which measures exactly 90º.
__________________________ 9. An angle which measures more than 90º but less than 180º.
__________________________ 10. An angle which measures exactly 180º.
Salilaguia, FA 3

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Week 1: Learning Strand 3 (Mathematical and Problem-Solving Skills)

Topic: Lines, Angles and Plane Figures

1. Acute angle—This is an angle that measures less than 90º

2. Right angle—This is an angle that measures exactly 90º.

4. Straight angle—This is an angle that measures exactly 180º.

1. Trapezoid—A quadrilateral having a. Triangle—A polygon having three sides.

2. Parallelogram—A b. Pentagon—A polygon having five sides.

d. Octagon—A polygon having eight sides.

6. Polygons—Closed plane figures bounded by straight

3. Sphere—This is a space figure having all 7. Prism—This is a space figure

Name: ________ Date: _

Teacher__________________________ Level: _ Score:

LS 3 Topic: Lines, Angles, and Plane & Space Figures

Quiz 2. Write the letter and words in the

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