Math Q3
Activity 1: Review (Page 4)
1.
2.
3.
4.
5.
x=34
x=45
x=no solution
x=66
x=no solution
Activity 2: Motivation (Page 4)
1. The pictures shown above composed of tables with shapes and has
certain angles.
2. The pictures shapes, angles and types are related to Geometry. The Kite
shape in which the diagonals intersect each other at right angles. The
billiard table, nipa hut and Philippine arena consists of reflections in which
the reflection and incidence angles are the same.
Activity 4: Four-Sided Everywhere! (Page 8)
1. What do you see in the illustrations above?
Answer: The pictures shows the signs, fence, nets, table, kite, etc which are
used in the real life and everyday lives.
2. Do you see parts of that show quadrilaterals?
Answer: Yes, most of the illustration shows quadrilaterals.
3. Can you give some significance of their designs?
Answer: The designs illustrated in the table above are important and are
currently used to make our lives easy.
Activity 5: Refresh Your Mind! (Page 9)
Quadrilateral
is a polygon
with four
sides.
Parallelogram is a
quadrilateral
where both pairs
of opposite sides
are parallel.
Rectangle is a
parallelogram
with four right
angles.
Rhombus is a
parallelogram
with four
congruent
sides.
Square is a
parallelogram
with four right
angles and four
congruent sides.
Kite is a
quadrilateral with
two pairs of
adjacent,
congruent sides.
Activity 6: PLOT, CONNECT, and IDENTIFY (Page 10)
1. Which among the figures parallelogram? Why?
Answer: Number 1 is a parallelogram with four right angles which is a square.
Number 3 is a parallelogram with four right angles which is a rectangle.
Number 4 is with a diamond shape.
Number 6 has a parallel sides.
2. Which among the figures are not parallelogram? Why?
Answer: Number 2 is not a parallelogram because it is trapezoid and Number 5 because it
has a kite shape.
Activity 7: Which is which (Page 12)
1. Which of the quadrilaterals are parallelogram? Why?
Answer: Rectangle, rhombus and square are parallelograms because it has opposite sides
parallel and equal in length. Opposite angles are also equal.
2. Which of the quadrilaterals are not parallelogram?
Answer: An ordinary quadrilateral with no equal sides is not a parallelogram. The trapezoid is
a quadrilateral but not a parallelogram because it has one pair of opposite sides parallel.
Activity 8: Fantastic Four (Page 12)
***REFER TO GRAPHING PAPER***
In your drawing, identify the following:
Pairs of opposite
sides
Pairs of opposite
angles
Pairs of consecutive
angles
Pairs of segments formed
by intersecting diagonals
OE and BY
OB and EY
∠EOB, ∠BYE
∠OBY, ∠OEY
∠OEY, ∠EOB
∠EYB, ∠OBY
∠OEY, ∠EYB
∠OEB, ∠EBY
EA , AB
OA , AY
Measurement
4cm
5cm
∠EOB = 85°,∠BYE = 85°
∠OBY=95°, ∠OEY = 95°
∠OEY= 95°, ∠EOB=85°
∠EYB = 85°, ∠OBY=95°
∠OEY=95°, ∠EYB=85°
∠OEB=85°, ∠EBY=95°
EA =3cm , AB =3cm
OA=3cm , AY=3 cm
Are the measurements
equal or not equal?
Equal
Equal
Equal
Equal
Not equal
Not equal
Not equal
Not equal
Equal
Equal
Process Questions:
1. Based on the table above, which is true about the following?
a. Pairs of opposite sides = True (equal)
b. Pairs of opposite angles = True (equal)
c. Pairs of consecutive angles = True (not equal)
d. Pairs of segments formed by intersecting diagonals = True (equal)
2. What does each diagonal do to a parallelogram?
Answer: Each diagonal divides the parallelogram into two congruent triangles.
Activity 9 (Page 13)
1. What is a parallelogram?
Answer: Parallelogram is a quadrilateral where both pairs of opposite sides are parallel.
2. What are the conditions that guarantee that a quadrilateral is a parallelogram?
Answer: If one pair of opposite sides of a quadrilateral are parallel and congruent, if it has
two pairs of congruent opposite angles and if the diagonals bisect each other, then the
quadrilateral is a parallelogram.
3. As an ignacian-marian learner, what can you contribute to actively keep an atmosphere
of a respect for individual differences?
Answer: What I can contribute is my respect towards our differences. To be an instrument of
respect and peace and to show others what is morally right in dealing with different people.
4. How can we use/apply the concept of parallelogram in real life?
Answer: We can apply the concept of parallelogram in constructing houses, buildings, and
some infrastructure.
5. In your Science subject, why is it essential to get measurement/dimension of things
needed to construct a building, houses and the like?
Answer: It’s important to get the correct measurement of things needed to construct
something (i.e. building, houses, etc) because the accurate measurement/dimension is what
will realize the plan and ensure the plan is built correctly.
Assessment 1: True or False
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
True
False
False
True
True
False
False
False
True
True
B. Identify the parts of the parallelogram below. (Refer to Yellow Pad)