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SLIDESMANIA.C
GOOD
AFTERNO
ON! 1
SLIDESMANIA.C
FLASHBACK
2
SLIDESMANIA.C
3
SLIDESMANIA.COM
4
D R A W I N G
SLIDESMANIA.COM
5
C O N S T R U C T I N G
SLIDESMANIA.COM
6
S K E T C H I N G
SLIDESMANIA.COM
7
A N G L E B I S E C T O R
SLIDESMANIA.C
GEOMETRIC
CONSTRUCTI
ON
(Perpendicular Bisector)
Teacher: Ms. Ma. Rica Mae M. Rosete
8
Quarter 3 Week 8  Day 2
SLIDESMANIA.C
MELC
9
Applies triangle congruence to
construct
a. Perpendicular lines
b. Angle bisector
SLIDESMANIA.C
Learning
Objectives
10
1. Recall the terminologies
2. Illustrate perpendicular
bisectors by construction; and
3. Apply triangle congruence
involving angle bisectors
SLIDESMANIA.C
LETS DO THE
EXAMPLE!
11
SLIDESMANIA.C
CONSTRUCTION:
Construct a Perpendicular Bisector
12
SLIDESMANIA.C
GIVEN:
Segment
13
CONSTRUCT:
, the perpendicular bisector
SLIDESMANIA.C
STEPS:
14
1. Set the compass such that
the opening is more one-half
of
SLIDESMANIA.C
STEPS:
15
2. Place the compass tip at A and
draw arcs below and above
Repeat by placing the compass tip
at B, without changing the
opening of the compass.
SLIDESMANIA.C
STEPS:
16
3. If the arcs intersect at C and
D, draw line segment cutting at
E. E is the midpoint of , is the
perpendicular bisector of
SLIDESMANIA.C
CAN YOU GIVE A SHORT
DEFINITION OF PERPENDICULAR
BISECTOR USING THE PREVIOUS
ACTIVITY?
17
SLIDESMANIA.C
PERPENICULAR BISECTOR
- It is a line or line
segment that divides the
line segment into two
equal parts and form a 90
angle. 18
SLIDESMANIA.C
PLAN FOR
VERIFICATI
ON.
19
SLIDESMANIA.C
20
Draw , , and
By construction ,
Show that ACD CD
PLAN FOR VERIFICATION
SLIDESMANIA.C
21
PROOF
STATEMENT REASON
1. Draw , , and 1. two points determine a line
SLIDESMANIA.C
22
PROOF
STATEMENT REASON
1. Draw , , and 1. two points determine a line
2. , 2. By construction
SLIDESMANIA.C
23
PROOF
STATEMENT REASON
1. Draw , , and 1. two points determine a line
2. , 2. By construction
3. 3. Reflexive property
SLIDESMANIA.C
24
PROOF
STATEMENT REASON
1. Draw , , and 1. two points determine a line
2. , 2. By construction
3. 3. Reflexive property
4. ACD CD 4. By SSS
SLIDESMANIA.COM
25
SLIDESMANIA.C
26
1.
属
SLIDESMANIA.C
27
2.
ツ
SLIDESMANIA.C
28
属
3.
SLIDESMANIA.C
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3.
30
SLIDESMANIA.C
30
48
5.
SLIDESMANIA.C
31
SLIDESMANIA.C
Direction: Indicate whether each statement is true
or false. Write your answer on a 村 sheet pad
paper
32
_______1. If TLW  SAN, then T  S.
_______2. JA bisects right angle UAN, mJAN = 90属.
_______3. If O is the midpoint of RS, then ROA   SOA.
_______4. If two intersecting lines form 90属 angle, then the lines are
perpendicular
_______5. Two triangles are congruent if two sides and an angle of
one triangle are congruent to two sides and one angle of another
triangle.
TRUE
FALSE
FALSE
TRUE
TRUE
SLIDESMANIA.C
33
SLIDESMANIA.C
34
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GEOMETRIC CONSTRUCTION (PERPENDICULAR BISECTOR).pptx