what’ s your type?
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What’ s Your Type?
The Same Old Thing
X Marks theSpot Prove It! Short Cuts
How’s Your Memory?
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BONUS
What’s your type?
30°
120°
30°
18
10
10
√
Sum of two nonadjacent interior angles
√
Classify all three triangles by side length.
√AB
D
C
35 65
Triangle with two 40° angles
√
Triangle with a 30 degree angle and a 60 degree
angle.
√
Triangle that is always acute
√
√
Classify all three triangles by angle measure.
35 60
5o
A
B
CD
The Same Old Thing
√
Name the congruent figures and ALL of the corresponding
congruent parts
√
P
S
Q
R
Name the congruent figures and ALL of the corresponding
congruent parts
√A
B C
D
Use the definition of congruent triangles to prove RPS RPQ.
√
P
Q
R
S
State the third congruence that must be given to prove
triangles congruent.
√
Given: FE ON F O
Prove: DEF MNO
Method: AAS
State the third congruence that must be given to prove triangles
congruent.
√
Given: A X B Y
Prove: ABC XYZ
Method: AAS
State the third congruence that must be given to prove
triangles congruent.
√
Given: DE MN M D
Prove: DEF MNO
Method: SAS
State the third congruence that must be given to prove
triangles congruent.
√
Given: A X AB XY
Prove: ABC XYZ
Method: ASA
X marks the spot
√
Find the value of x and classify the triangle
√
M PH
GJN
122 24(2x - 6)
∆JGH ∆PMNM GN H
Find the value of x and classify the triangle
√
3x
(2x + 11)(8x + 5)
Find the value of the third angle measure x if one of the acute angles in a right
triangle is 40 degrees
√
Find the value of x
√
(7x + 1)
38
(10x + 9)
Find the value of x and classify the triangle
√
6x
10
x
10
Find the value of x
√
34
x4
4
Find the value of x and y
√
x°
y°
50°
Prove it!
√
√
Given: MA TA, AHM=90 Prove: AHM AHT
A
TH
M
√
Given: A B, ADC BDC Prove: AC BC
A
D
B
C
√
Given: T is the midpoint of PR and QS
Prove: STR QTP
P
S R
Q
T
√
Given: JK LM, KJS MLS, JR LQ
Prove: LQR JRQ
S
K Q R M
J L
√
Given: A B, CA ┴AB, D is the midpoint of AB, AC BC
Prove: ACD BCD (using no shortcuts)
AD
B
C
√
Prove the Exterior Angles Theorem: m1 + m2 = m4
1
2
3 4
√
Using the Isosceles Triangle Theorem: Find m D
(6y+1)
(21y+13)
D
O G
Shortcuts
√
√
Name the theorem and list the statement or tell why it
can’t be determined
A
B
C
D
√
Name the theorem and list the statement or tell why it can’t be determined
A
E
C
B
D
√
Name the congruence method or none
√
Name the theorem and list the statement or tell why it can’t be determined
F R
OG
√
Name the congruence method or none
V
Z
WU
X Y
VY WXXV YWVXY WYX
√
Name the congruence method or none
V
Z
WU
X Y
VX WYVY BISECTS XZWX BISECTS ZYVXY WYX
√
M N O P
Q
Name the congruence method or none
MOQ PNQ
√
How’s Your Memory?
√
If two angles form a linear pair then they are:
√
If two lines are perpendicular then the angles created at their
intersection are:______
√
The acute angles of a right triangle are:
√
___ is the set of all points inside a triangle and ____ is the set of
all points outside a triangle.
√
Angles formed by two sides of a triangle with a common vertex
√
An angle formed by one side of a polygon and the extension of an
adjacent side
√
Interior angles of a polygon that are not adjacent to the exterior
angle but their sum is equal to the measure of the exterior angle.
BET IT ALL
• Given m A= 43 degrees and the measure of CBD is twice that of CBA, what is the measure of C?
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