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SYMMETRIC PROPERTY
For all real
number p and q,
then q = p.
By symmetric
property, if
∠𝑃𝑄𝑅 ≅ ∠𝑆𝑇𝑈, then
∠𝑆𝑇𝑈 ≅ ∠𝑃𝑄𝑅.
Other example,
If ∠P ≅ ∠Q then ∠Q
≅ ∠P.
P
Q
R
S
T
U
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TRANSITIVE PROPERTY
For all real
number p, q,
and r, if p = q,
and q = r,
then p = r.
● By transitive
property, if 𝑃𝑄 ≅
𝑅𝑆 and 𝑅𝑆 ≅ 𝑇𝑈,
then 𝑃𝑄 ≅ 𝑇𝑈
● If ∠P ≅ ∠S, ∠S ≅
∠B, then ∠P ≅ ∠B
P Q
R S
T U
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Addition Property of Equality (APE)
For all real numbers p, q,
and r, if p = q, then
p + r = q + r.
● If m∠ P = m∠Q,
then m∠P + m∠R = m∠Q + m∠R
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Subtraction Property of Equality (SPE)
For all real numbers p, q,
and r, if p = q,
then p − r = q + r.
● If m∠ P = m∠Q,
then m∠P – m∠R = m∠Q – m∠R
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Multiplication Property of Equality (MPE)
For all real numbers p, q,
and r, if p = q, then pr = qr
● If p = q, and p = 2 and r = 5
pr = qr
2(5) = 2(5) ⟶ 10 = 10
11. SLIDESMANIA.COM
A. Identify if it is Reflexive, Symmetric, Transitive or Substitution Property illustrated
in each number.
1. If ∠A ≅ ∠B then ∠B ≅ ∠A.
2. m∠HAT ≅ m∠HAT
3. If CT = 14 and PR + CT = 20, then PR + 14 = 20.
4. If TX = BK, then BK = TX.
5. If ∠A ≅ ∠B, ∠B ≅ ∠C, then ∠A ≅ ∠C.
B. Name the property of equality (APE, SPE, MPE or Distributive Property) illustrated
in each number.
1. For all real numbers a, b, c and d, if a = b and c = d, then a + c = b + d
2. 10(m + n) = 10m + 10n
3. If m = n, then mp = np.
4. If m∠A = m∠B, then m∠A + m∠C = m∠B + m∠C
5. If m∠A = m∠B, then m∠A − m∠C = m∠B − m∠C
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Definition of a Midpoint
● If points P, Q, and R are collinear
(P-Q-R) and Q is the midpoint of
PR, then 𝑃𝑄 = 𝑄𝑅
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Definition of a Midpoint
● If points P, Q, and R are collinear
(P-Q-R) and Q is the midpoint of
PR, then 𝑃𝑄 = 𝑄𝑅
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Angle
An angle is a figure formed by two rays meeting at a
common endpoint.
● Angles are denoted by a number, vertex and the three
capital letters. The angle below can be named as
∠XOY or ∠O or ∠1
X
O
Y
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Perpendicular Lines
● Formed when two lines intersect with each other
and formed right angles. The perpendicular sign is
⊥, it is used to show that two lines are
perpendicular.
● In the figure, 𝐴𝐶 and 𝐵𝐷 intersect at point F to
form right angles. To denote perpendicularity, we
used “⊥”. Therefore, we say that 𝐴𝐶 ⊥ 𝐵𝐷 . Since
∠𝐴𝐹𝐵 and ∠𝐶𝐹𝐵 formed a linear pair, then they
are supplementary. Since perpendicular lines
formed four right angles, therefore
∠𝐴𝐹𝐵, ∠𝐶𝐹𝐵, ∠𝐶𝐹𝐷 𝑎𝑛𝑑 ∠𝐴𝐹𝐷 measure 90⁰.
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■ We will talk about this first.
■ We will talk about this second.
■ We will talk about this after.
■ And at the end we will talk about this.
Here is where you add your talking points.
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Add a brief introduction of your section here.
Let’s dive in and get to know some interesting facts about animals!
We will talk about this first.
27. SLIDESMANIA.COM
Did you know?
Did you know that elephants can sense storms?
Elephants may be able to detect a thunderstorm from hundreds
of miles away, and will head towards it, looking for water.
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Did you know?
Did you know that a cat uses its whiskers as
feelers to determine if a space is too small to
squeeze through?
Also, cats love to sleep. A fifteen-year-old cat
has probably spent ten years of its life sleeping.
Did you know that dogs can smell your
feelings?
Dogs can pick up on subtle changes in your
scent, which can help him figure out how you
are feeling, such as by smelling your
perspiration when you become nervous or
fearful.
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Did you know?
Pandas don’t hibernate.
It is estimated that more than 50 million kangaroos live there. They are Australia’s
national symbol and appear on postage stamps, coins, and airplanes.
There are more kangaroos than humans in Australia.
Koalas don’t have much energy and, when not feasting on leaves, they spend their
time dozing in the branches. Believe it or not, they can sleep for up to 18 hours a day!
Koalas are even more lazy than cats.
When winter approaches, they head lower down their mountain homes to warmer
temperatures, where they continue to chomp away on bamboo!
35. SLIDESMANIA.COM
Let’s review some facts.
Elephants
Koalas are even more lazy than
cats.
Dogs
Elephants can sense storms.
Cats
Dogs can smell your feelings.
Pandas
Kangaroos Koalas
Pandas don’t hibernate.
There are more kangaroos than
humans in Australia.
Cats use their whiskers as feelers.
36. SLIDESMANIA.COM
This is our team!
Erika V. John S. Marie M.
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This is an editable world map.
Showcase places 100% Editable
You can use maps to show your offices or
markets. Or as charts, highlighting the
countries and adding your data.
You can double click on the desired
country and change fill color.
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And this is a timeline or process
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