Congruence Statements
Parallel or Triangle theorems
Types of Triangles
Solving Triangles
Isosceles/Equilateral
100
Given this congruence statement, the angle congruent to angle V.
What is
angleH
100
If the measure of angle 1 = 146 degrees what is the measure of angle 5?
146
100
What do you call a triangle with all angles smaller than 90 degrees, and 2 sides are the same?
Acute, Isosceles
100
Find x (Ex. 5)
x = 10
100
Explain the difference between Isosceles and Equilateral.
Isosceles has only 2 sides that are the same, but Equilateral has all 3 sides the same.
200
The side congruent to side VU
What is
bar{HI}
200
List all angles congruent to angle 1.
What is Angle 4, 5, and 8?
200
What do you call a triangle where all sides are the same and all angles are the same?
Equiangular, Equilateral
200
Find m∠C (Ex. 8)
x = 19
m∠C = 119 degrees
200
What are the measures of each angle in an equilateral triangle?
All angles = 60 degrees
300
The side congruent to IG
What is
bar{UW}
300
Solve for X
x=14
300
If △ MNP has the m∠ M=35 degrees and m∠ P=47 degrees, what triangle would you classify it as?
(Hint: Can you name it based only on sides, only on angles, or both?)
Obtuse
300
Solve for x. (Ex. 9)
x = 5
300
If you had a triangle XYZ, and I told you that ∠X≅∠Z, what could you tell me about the sides? (Be specific)
YZ = XY
400
A congruence statement for the two triangles represented by:
What is
triangleMNLcongtrianglePQR
400
Solve for x.
x=50
400
List all the types of triangles based off angles, and list all triangle names based off of sides.
Angles - Acute, Right, Obtuse, Equiangular
Sides - Scalene, Isosceles, Equilateral
400
Find the measure of each missing angle (Ex: 4)
m∠ 1= 52 degrees
m∠ 2= 79 degrees
m∠ 3= 38 degrees
400
If △GHJ is an equilateral triangle, GH=5x-13, HJ=11x-61, and GJ=7x-29, find x and the measure of each side.
x=8
GH=27
HJ=27
GJ=27
500
If △PQR ≅ △STU, complete each part (Ex. 17)
a) ST=____
b) SU=____
c) m∠R=____
d) m∠Q=____
e) m∠S=____
a) ST= 7 m
b) SU= 8 m
c) m∠R= 46 degrees
d) m∠Q= 75 degrees
e) m∠S= 59 degrees
500
Solve for x. Which theorem did you use?
X=49
500
Classify the triangle WXY given W(-7,1), X(0,-4), and Y(2,3)
Scalene
500
If WXY is an equilateral and WZY is isosceles, find each missing measure. (Ex: 12)
m∠1= 60
m∠2= 39
m∠3= 21
m∠4= 39
m∠ 5= 21
500
In △RST, if ∠S ≅ ∠T, RS=9x-13, ST=10x-3, RT=4x+2, find x and the measure of each side.
x=3
RS=14
ST=27
RT=14