Unit 5 - Proofs

Question 1

Proof for Segment Bisectors

Answer 1

1. A segment bisector intersects a segment at its midpoint
2. A midpoint divides a segment into two congruent halves

Question 2

Proof for Supplements

Answer 2

1. A linear pair is supplementary
2. Supplements of congruent angles are congruent

Question 3

Proofs for Vertical Angles

Answer 3

Vertical Angles are Congruent

Question 4

Proof for Angle Bisector

Answer 4

An angle bisector divides an angle into two congruent angles

Question 5

Proof for Isosceles Triangle

Answer 5

1. In a triangle, angles opposite of congruent sides are congruent
2. In a triangle, sides opposite of congruent angles are congruent

Question 6

Proof for Right Angles

Answer 6

1. Perpendicular Lines form Right Angles
2. All Right Angles are Congruent

Question 7

CPCTC

Answer 7

Corresponding Parts of Congruent Triangles are Congruent

Question 8

Proving Parallel Lines Proof (2)

Answer 8

If 2 lines are cut by a transversal such that
1. Alternate Interior
2. Alternate Exterior
3. Corresponding
angles are congruent, then lines are parallel

OR

If 2 lines are cut by a transversal such that Consecutive Interior angles are supplementary, then the lines are parallel

Question 9

Using Parallel Lines Proof

Answer 9

If 2 parallel lines are cut by a transversal, then
1. Alternate Interior
2. Alternate Exterior
3. Corresponding
angles are congruent

OR

If 2 parallel lines are cut by a transversal, then consecutive interior angles are supplementary

Question 10

What methods prove congruent triangles and what methods do not prove congruent triangles? (3/2)

Answer 10

Prove Congruent Triangles:
SAS
ASA
HL
Does Not Prove Congruent Tringles
SSA
AAA

Question 11

What proof do you have to use when using HL?

Answer 11

A triangle with a right angle is a right triangle (The two triangles are right)

Question 12

What do you typically need in an addition and subtraction proof?

Answer 12

1. Add equals together and set the sums congruent
2. Provide names of each sum
   (ALL IS IN ONE REASON)
   1+2 = 3+4
   5 = 6

Question 13

What do you typically need to use in a special bisector proof?

Answer 13

STATEMENT
1. AB = 1/2 EF
CD = 1/2 GH
2. 1/2 EF = 1/2GH
3. AB = CD

REASON
1. MIDPT. DIVIDES SEGMENT IN 1/2
2. MULTIPLICATION PROPERTY
3. SUBSTITUTION

Question 14

Can an angle be reflexive?

Answer 14

Yes

Question 15

How can you prove that something is a right angle if there isn’t perpendicular lines in a given?

Answer 15

Find supplements. then prove they’re equal to each other