Find the missing value
Algebraic Proofs
Name the property
Segments
Angles
100
If RS = 3x-15, ST = 4x + 5 and RT = 53, Find RS.
What is RS = 12?
100
Given.
What is the first step in all proofs?
100
What reason would you give for this statement Segment PQ ≅ Segment XY Prove: Segment XY ≅ Segment PQ
Symmetric Property
100
Segment AB ≅ Segment DE Segment CD ≅ Segment DE What other segments are congruent and why?
What is Segment AB ≅ Segment CD because of the transitive property?
100
∠A is congruent to ∠B, ∠B is congruent to ∠C. What other two angles are congruent and why?
What is ∠A is congruent to ∠C because of transitive property?
200
If the measure of angle ABC is six less than five times the measure of angle CBD, and the measure of angle ABD is 162, find the measure of angle ABC.
What is 134 degrees?
200
What is the next step in this equation? 1. 12w-4w=6. 1. Given 2. 8w=6. 2. Subtraction property of equality 3. ? 3. ?
3. What is w=6/8 and 3. Division property of equality?
200
Two angles are supplementary if and only if the sum of their measures is 180 degrees.
What is the Definition of Supplementary Angles?
200
By the symmetric property of equality, If Segment AB is ≅ Segment CD then...
Segment CD ≅ Segment AB
200
Which angles are ≅ and why?
∠1 ≅ ∠3 ∠2 ≅ ∠4
Vertical angles Theorem
300
If point M is in the interior of angle JKL and angle MKL is 83 degrees, angle JKL = 127 degrees and angle JKM is 9x-10, find the value of x.
What is x=6?
300
Angle A is congruent to angle B and angle B is congruent to angle C. What other two angles are congruent and why?
What is angle A is congruent to angle C by transitive property?
300
If AB is congruent to CD, then AB = CD.
What is the Definition of Congruence?
300
By the Transitive Property, If Segment XY ≅ Segment CF, and Segment CF ≅ Segment DH...
Segment XY ≅ Segment DH
300
If two angles form a linear pair, then they are supplementary.
What is linear pair Theorem?
400
If Z is in the interior of angle WXY and the measure of angle WXZ = 5x + 3, the measure of angle ZXY = 8x - 4, and angle WXY is a right angle, find each measure.
x = ?
angle WXZ = ?
angle ZXY = ?
What is:
x=7
angle WXZ = 38 degrees
angle ZXY = 52 degrees?
400
Fill in the missing statements. 1. AB=CD Given
2. AB+BC=BC+CD Addition property of equality
3._______ Segment addition postulate
4. AC = BC+CD ________ Property of Equality
5. BD=BC+CD Segment addition postulate
6. ________Transitive property of equality
What is 3. AC=AB+BC; 4. Transitive Property; 6. AC=BD?
400
When an angle is divided into 2 equal parts, the line that divides the angle is called an _________
What is an angle bisector?
400
If T is the midpoint of segment SU then find x if:
ST = 8x+11 and TU = 12x-1
What is x=3?
400
If two angles are supplementary to the same angle, then they are congruent.
What is the Congruent Supplements theorem?
500
If E is a point of segment DF and DE = 4x + 10, EF = 2x-1 and DF = 9x-15, find each value.
x=?
DE=?
EF=?
DF=?
What is:
x = 8
DE = 42
EF = 15
DF = 57
500
Write the entire proof to solve 4(3x+12)=2x-28
What are:
Statements:1)4(3x+12)=2x-28, 2)12x+48=2x-28, 3)10x+48=-28 4)10x=-76, 5)x=-7.6 Reasons:1)Given, 2)Distributive Property, 3)Subtraction Property of Equality, 4) Subtraction Property of Equality 5) Division Property of Equality
500
If 2 angles form a right angle then they are complementary.
What is the Complement Theorem?
500
By the Segment Addition Postulate, Segment DF+ Segment FG=?
Segment DG
500
∠1 and ∠2 are a linear pair. If m∠1=65 degrees, what is m∠2?
What is the m∠2=115 degrees?