Proofs

Question 1

Reflexive axiom

Answer 1

Figure is equal to itself x=x

Question 2

Symmetric axiom

Answer 2

Switch left side of equation to right side y+x=x+y

Question 3

Addition/Subtraction axiom

Answer 3

You can add/subtract same figure to/from both sides of equation (if 3x-2 =4, then 3x =)6

Question 4

Multiplication/Division axioms

Answer 4

You can multiply/divide both sides of equation by same factor/scale

Question 5

Substitution axiom

Answer 5

Numbers equal to each other can be substituted

Question 6

Segment/angle addition

Answer 6

Part + part = whole

Question 7

Linear pairs are…

Answer 7

Supplementary

Question 8

Supplements of congruent angles are…

Answer 8

Also congruent

Question 9

What do perpendicular lines form?

Answer 9

Right angles

Question 10

Vertical lines are…

Answer 10

Congruent

Question 11

All right angles are…

Answer 11

Congruent

Question 12

Median of triangle

Answer 12

Line segment drawn from vertex of triangle to MIDPOINT on opposite side (no proof they are right angles but they are congruent to each other)

Question 13

Altitude of a triangle

Answer 13

Line segment drawn from the vertex of the angle so it is perpendicular to the other side (no proof there was a midpoint but they are RIGHT TRIANGLES)

Question 14

Subtraction & Addition proof strategy

Answer 14

Given (Reflexive) segment/angle addition/subtraction, substitution, addition/subtraction axiom at end

Question 15

Division proofs

Answer 15

Given, definition of midpoint/bisector, angle/segment addition axiom, substitution (to make each part equal), substitution (to make both factors the same on both side), division axiom