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Transcript
HW-pg. 234-236 (1-10, 23-25, 28-29)
4.1-4.3 Quiz THU 11-13 p. 5, FRI 11-14 p. 3 & 7
www.westex.org HS, Teacher Websites
11-5-14
Warm up—Geometry CPA
1. Which statement is true?
(Note: diagram is not drawn to scale)
(A) q || r
(B) q || s
(C) r || s
(D) p || q
GOAL:
I will be able to:
1. use properties of congruent triangles.
HW-pg. 234-236 (1-10, 23-25, 28-29)
4.1-4.3 Quiz THU 11-13 p. 5, FRI 11-14 p. 3 & 7
www.westex.org
HS, Teacher Websites
Name _________________________
Geometry CPA
4.3 Congruent Triangles
GOAL:
I will be able to:
1. use properties of congruent triangles.
Date ________
Geometric figures are congruent if they are the same size and shape. _________________
and __________________ are in the same position in polygons with an equal number of sides.
Two polygons are ____________ if and only if their corresponding sides are congruent. Thus
triangles that are the same size and shape are congruent.
To name a polygon, write the vertices in ___________________. For example, you can name
polygon PQRS as QRSP or SRQP, but not as PRQS.
P
Q
S
R
In a congruence statement, the order of the vertices indicates the ___________________.
Example 1: Naming Congruent Corresponding Parts
Given: ∆PQR  ∆STW
Identify all pairs of corresponding congruent parts.
YOU TRY:
If polygon LMNP  polygon EFGH, identify all pairs of corresponding congruent parts.
(Draw a picture)
Example 2: Using Corresponding Parts of Congruent Triangles (CPCTC)
Given: ∆ABC  ∆DBC.
Find the value of x.
YOU TRY:
A) Given: ∆ABC  ∆DBC
Find mDBC.
B) Given: ∆ABC  ∆DEF
Find the value of x.
4-3 Practice
1. ∆ABC  ∆JKL and AB = 2x + 12. JK = 4x – 50. Find x and AB.
Given that polygon MNOP  polygon QRST, identify the congruent corresponding part.
2. NO  ____
3. T  ____
EXIT TICKET
Name _______________________
∆ABC and ∆DEF are congruent. Are angles C and E corresponding angles? If not, state two
angles that do correspond to each other.
A
F
C
EXIT TICKET
B
E
D
Name _______________________
∆ABC and ∆DEF are congruent. Are angles C and E corresponding angles? If not, state two
angles that do correspond to each other.
A
F
C
EXIT TICKET
B
E
D
Name _______________________
∆ABC and ∆DEF are congruent. Are angles C and E corresponding angles? If not, state two
angles that do correspond to each other.
A
F
C
EXIT TICKET
B
E
D
Name _______________________
∆ABC and ∆DEF are congruent. Are angles C and E corresponding angles? If not, state two
angles that do correspond to each other.
A
F
C
B
E
D