Algebraic and Geometric Proofs
Segment and Angle Addition
Angle Relationships Part 1
Angle Relationships Part 2
Triangle Angle Sum
Exterior Angle Theorem
100
Given: 8=3x+5
Prove: x=1
Statements Reasons
1. 8=3x+5 1. Given
2. 3=3x 2.
3. 1=x 3.
4. x=1 4.
What is reason 2?
What is subtraction property of equality?
100
∠A and ∠B are complementary angles. If m∠A is 24 degrees, what is m∠B?
What is 66 degrees?
100
What is the angle type for angle 3 and angle 6?
What is alternate interior angles?
100
If angle 1 = x+99 and angle 4 = 127, what is the value of x?
What is x=28?
100
What is the sum of the measures of the interior angles of a triangle?
What is 180 degrees?
100
What does the Exterior Angle Theorem state?
200
Given: 8=3x+5
Prove: x=1
Statements Reasons
1. 8=3x+5 1. Given
2. 3=3x 2.
3. 1=x 3.
4. x=1 4.
What is reason 4?
What is the symmetric property of equality?
200
A and C are the endpoints of a segment with B being between A and C. If AC = 13, and BC = 8, what is the measurement of AB?
What is 5?
200
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
What is 30 degrees?
200
In the accompanying diagram lines AB and CD intersect at E. If m∠BED = 25 and m∠AEC = 3x + 10, find the value of x.
What is x=5?
200
What is the value of T?
What is 71?
200
What is the m∠ x
m∠x= 149
300
What is this property called?
If A + B = C and A = D, then D + B = C.
What is the substitution property of equality?
300
Point H is between G and I. Use the segment addition postulate to find the length of HI when
GH = 2x - 8, HI = x + 17, and GI = 39.
What is 27?
300
What is the angle type for angle 2 and angle 4?
What is a linear pair?
300
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x? 
What is x=32?
300
Find the value of ∠ x
∠ x = 70
300
What is value of y?
y= 10
400
What is this property called?
If A is congruent to B, and B is congruent to C, then A is congruent to C.
What is the transitive property of congruence?
400
What is the measure of ∠ABD in the figure below?
What is 112 degrees?
400
Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:
What is angle 3 = 82 degrees and angle 4 = 98 degrees?
400
If the measure of angle 4 = 8x-5 and the measure of angle 6 = 5x+3, then find the value of x?
What is x=14?
400
Solve for x and the measurement of the missing angle.
x= -8, m∠ =75
400
What is the value of the exterior angle?
m ∠ DBC=150