Quiz about Review Parallel Proofs

Question 1

What would statement #1 be

Accepted Answer

$$\overrightarrow{ZY}\perp\overleftarrow{X}\overrightarrow{Z},\ \angle1\cong\angle2$$

Answer

Given

Answer

$$\angle2\ is\ a\ right\ angle$$

Answer

$$\overrightarrow{XW}\perp\overleftarrow{X}\overrightarrow{Z}$$

Question 2

What would reason #1 be

Accepted Answer

Given

Answer

$$\overrightarrow{ZY}\perp\overleftarrow{X}\overrightarrow{Z},\ \angle1\cong\angle2$$

Answer

$$\angle2\ is\ a\ right\ angle$$

Answer

$$\overrightarrow{XW}\perp\overleftarrow{X}\overrightarrow{Z}$$

Question 3

What could statement #2 be

Accepted Answer

$$\angle2\ is\ a\ right\ angle$$

Answer

Definition of Perpendicular (Def of $$\perp$$ )

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$m\angle2\ =90\degree$$

Question 4

What could reason #2 be

Accepted Answer

Definition of Perpendicular (Def of $$\perp$$ )

Answer

Definition of right angle

Answer

$$\angle2\ is\ a\ right\ angle$$

Answer

Right angle congruence

Question 5

What could statement #3 be

Accepted Answer

$$m\angle2\ =90\degree$$

Answer

Definition of right angle

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$\angle2\ is\ a\ right\ angle$$

Question 6

What could reason #3 be

Accepted Answer

Definition of right angle

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

Definition of perpendicular

Answer

$$m\angle2\ =90\degree$$

Question 7

What could statement #4 be

Accepted Answer

$$m\angle1=m\angle2$$

Answer

Definition of congruent segments $$\left(Def\ \cong\ Seg\right)$$

Answer

Definition of congruent angles $$\left(Def\ \cong\angle\right)$$

Answer

$$m\angle1=90\degree$$

Question 8

What could reason #4 be

Accepted Answer

Definition of Congruent Angles $$\left(Def\ \cong\ \angle\right)$$

Answer

Definition of Congruent Segments $$\left(Def\ \cong\ Seg\right)$$

Answer

Definition of perpendicular

Answer

Definition of right angle

Question 9

What could statement #5 be

Accepted Answer

$$m\angle1=90\degree$$

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$m\angle1=m\angle2$$

Answer

$$m\angle2=90\degree$$

Question 10

What could reason #5 be

Accepted Answer

Substitution POE

Answer

Transitive POE

Answer

Definition of perpendicular

Answer

Definition of right angle

Question 11

What could statement #6 be

Accepted Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$m\angle1=90\degree$$

Answer

$$m\angle1=m\angle2$$

Answer

$$m\angle2=90\degree$$

Question 12

What could reason #6 be

Accepted Answer

Definition of right angle

Answer

Substitution POE

Answer

Transitive POE

Answer

Definition of perpendicular

Question 13

What could statement #7 be

Accepted Answer

$$\overrightarrow{XW}\perp\overleftarrow{X}\overrightarrow{Z}$$

Answer

$$\overrightarrow{ZY}\perp\overleftarrow{X}\overrightarrow{Z}$$

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$m\angle1=90\degree$$

Question 14

What could reason #6 be

Accepted Answer

Definition of perpendicular

Answer

Substitution POE

Answer

Transitive POE

Answer

Definition of right angle

Question 15

What is the first statement

Accepted Answer

$$l\ \perp\ m$$

Answer

Who knows?

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$\angle1,\ \angle2,\ \angle3,\ \angle4\ is\ a\ right\ angle$$

Question 16

What is the first reason

Accepted Answer

Given

Answer

Who knows?

Answer

Definition of Right Angle

Answer

Math is my favorite :)

Question 17

What is statement #2

Accepted Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

Who knows?

Answer

$$\angle1\ is\ complementary$$

Answer

$$\angle1\ =90\degree$$

Question 18

What is reason #2

Accepted Answer

Definition of Perpendicular $$Def\ \perp$$

Answer

Who knows?

Answer

Definition of Right Angle

Answer

Congruent angles

Question 19

What is statement #3

Accepted Answer

$$\angle1\ =90\degree$$

Answer

Who knows?

Answer

$$\angle1\ is\ a\ right\ angle$$

Answer

$$\angle1\ is\ complementary$$

Question 20

What is reason #3

Accepted Answer

Definition of Right Angle

Answer

Who knows?

Answer

Definition of Perpendicular $$Def\ \perp$$

Answer

Congruent angles

Question 21

What is statement #4

Accepted Answer

$$\angle1\cong\angle3$$

Answer

Who knows?

Answer

$$\angle2\ =\ 90\degree$$

Answer

$$\angle1\ =90\degree$$

Question 22

What is reason #4

Accepted Answer

Vertical Angles are Congruent $$\left(Vertical\ \angle\ \cong\right)$$

Answer

Who knows?

Answer

Linear Pairs

Answer

Congruent angles

Question 23

What is reason #5

Accepted Answer

Definition of Congruent Angles

$$\left(Def\ \cong\ \angle\right)$$

Answer

Definition of Congruent Segments

$$\left(Def\ \cong\ Seg\right)$$

Answer

Substitution POE

Answer

Congruent angles

Question 24

What is statement #6

Accepted Answer

$$m\angle3=90\degree$$

Answer

$$\angle1\cong\angle3$$

Answer

$$m\angle1=m\angle3$$

Answer

$$\angle2=90\degree$$

Question 25

What is reason #6

Accepted Answer

Substitution POE

Answer

Definition of Congruent Segments

$$\left(Def\ \cong\ Seg\right)$$

Answer

Definition of Congruent Angles

$$\left(Def\ \cong\ \angle\right)$$

Answer

Definition of right angle

Question 26

What is statement #7

Accepted Answer

$$\angle3\ is\ a\ right\ angle$$

Answer

$$m\angle3=90\degree$$

Answer

$$m\angle1=m\angle3$$

Answer

$$\angle2=90\degree$$

Question 27

What is reason #7

Accepted Answer

Definition of Right Angles

$$\left(Def\ right\ \angle\right)$$

Answer

Definition of Congruent Angles

$$\left(Def\ \cong\ \angle\right)$$

Answer

Substitution POE

Answer

Definition of Perpendicular

$$\left(Def\ \perp\right)$$

Question 28

What is statement #8

Accepted Answer

$$\angle1\ and\ \angle2\ form\ a\ linear\ pair$$ $$\angle1\ and\ \angle4\ form\ a\ linear\ pair$$

Answer

$$m\angle4\ =90\degree$$

Answer

$$m\angle2\ =\ 90\degree$$

Answer

$$\angle1\ and\ \angle2\ are\ \sup plementary$$ $$\angle1\ \&\ \angle4\ are\ \sup plementary$$

Question 29

What is reason #8

Accepted Answer

Definition of Linear Pairs

Answer

Definition of Right Angles

$$\left(Def\ right\ \angle\right)$$

Answer

Definition of Congruent Angles

$$\left(Def\ \cong\ \angle\right)$$

Answer

Linear Pairs Postulate (LPP)

Question 30

What is statement #9

Accepted Answer

$$\angle1\ and\ \angle2\ are\ \sup plementary$$ $$\angle1\ \&\ \angle4\ are\ \sup plementary$$

Answer

$$m\angle4\ =90\degree$$

Answer

$$m\angle2\ =\ 90\degree$$

Answer

$$\angle1\ and\ \angle2\ form\ a\ linear\ pair$$ $$\angle1\ and\ \angle4\ form\ a\ linear\ pair$$

Question 31

What is reason #9

Accepted Answer

Linear Pairs Postulate (LPP)

Answer

Definition of Right Angles

$$\left(Def\ right\ \angle\right)$$

Answer

Definition of Congruent Angles

$$\left(Def\ \cong\ \angle\right)$$

Answer

Definition of Linear Pairs

Question 32

What is statement #10

Accepted Answer

$$m\angle1+m\angle2=180\degree$$ $$m\angle1+m\angle4\ =180\degree$$

Answer

$$m\angle1+m\angle2=90\degree$$ $$m\angle1+m\angle4=90\degree$$

Answer

$$\angle1\ and\ \angle2\ are\ \sup plementary$$ $$\angle1\ \&\ \angle4\ are\ \sup plementary$$

Answer

$$\angle1\ and\ \angle2\ form\ a\ linear\ pair$$ $$\angle1\ and\ \angle4\ form\ a\ linear\ pair$$

Question 33

What is reason #10

Accepted Answer

Definition of Supplementary

Answer

Definition of Right Angles

$$\left(Def\ right\ \angle\right)$$

Answer

Definition of Complementary

Answer

Linear Pairs Postulate (LPP)

Question 34

What is statement #11

Accepted Answer

$$90\degree+m\angle2\ =\ 180\degree$$ $$90\degree+m\angle4=180\degree$$

Answer

$$\angle2\ is\ a\ right\ angle$$ $$\angle4\ is\ a\ right\ angle$$

Answer

$$m\angle1+m\angle2=90\degree$$ $$m\angle1+m\angle4=90\degree$$

Answer

$$\angle1\ \cong\angle2$$ $$\angle1\ \cong\ \angle4$$

Question 35

What is reason #11

Accepted Answer

Substitution POE

Answer

Transitive POE

Answer

Definition of Complementary

Answer

Definition of Supplementary

Question 36

What is statement #12

Accepted Answer

$$m\angle2=90\degree$$ $$m\angle4=90\degree$$

Answer

$$\angle2\ is\ a\ right\ angle$$ $$\angle4\ is\ a\ right\ angle$$

Answer

$$90\degree+m\angle2\ =\ 180\degree$$ $$90\degree+m\angle4=180\degree$$

Answer

$$\angle1=\angle2$$ $$\angle1\ =\ \angle4$$

Question 37

What is reason #12

Accepted Answer

Subtraction POE

Answer

Transitive POE

Answer

Addition POE

Answer

Substitution POE

Question 38

What is statement #13

Accepted Answer

$$\angle2\ is\ a\ right\ angle$$ $$\angle4\ is\ a\ right\ angle$$

Answer

$$m\angle2=90\degree$$ $$m\angle4=90\degree$$

Answer

$$90\degree+m\angle2\ =\ 180\degree$$ $$90\degree+m\angle4=180\degree$$

Answer

$$\angle1=\angle2$$ $$\angle1\ =\ \angle4$$

Question 39

What is reason #13

Accepted Answer

Definition of right angle

$$\left(Def\ right\ \angle\right)$$

Answer

Right angle congruence

$$\left(Right\ Angle\ \cong\right)$$

Answer

Subtraction POE

Answer

Substitution POE

Question 40

What is statement 1

(may need more than 1 answer)

Accepted Answer

$$l\parallel m$$

Accepted Answer

$$\angle1\cong\angle2$$

Answer

$$a\parallel b$$

Answer

nothing

Question 41

What is reason 1

Accepted Answer

Given

Answer

Prove

Answer

No clue

Answer

nothing

Question 42

What is statement 2

Accepted Answer

$$\angle1\cong\angle3$$

Answer

$$\angle1\cong\angle2$$

Answer

$$a\parallel b$$

Answer

$$l\parallel m$$

Question 43

What is reason 2

Accepted Answer

Corresponding Angle Postulate

$$\left(Corr\ \angle\ \cong\right)$$

Answer

Alternate Exterior Angle Theorem

$$\left(Alt\ Ext\ \angle\cong\right)$$

Answer

Alternate Interior Angle Theorem

$$\left(Alt\ Int\ \angle\ \cong\right)$$

Answer

Consecutive Interior Angle Theorem

$$\left(Con\ Int\ \angle\ Supp\right)$$

Question 44

What is statement 3

Accepted Answer

$$\angle2\ \cong\ \angle3$$

Answer

$$\angle1\cong\angle3$$

Answer

$$\angle1\cong\angle2$$

Answer

$$\angle2\ =\ 90\degree$$

Question 45

What is reason 3

Accepted Answer

Transitive POE

Answer

Alternate Exterior Angle Theorem

$$\left(Alt\ Ext\ \angle\cong\right)$$

Answer

Alternate Interior Angle Theorem

$$\left(Alt\ Int\ \angle\ \cong\right)$$

Answer

Symmetric POE

Question 46

What is statement 4

Accepted Answer

$$a\parallel b$$

Answer

$$\angle1\cong\angle3$$

Answer

Parallel Lines

Answer

$$l\parallel m$$

Question 47

What is reason 4

Accepted Answer

Alternate Exterior Angle Converse

$$\left(Alt\ Ext\ \angle\ Converse\right)$$

Answer

Substitution POE

Answer

Alternate Interior Angle Converse

$$\left(Alt\ Int\ \angle\ Converse\right)$$

Answer

Symmetric POE

Question 48

What is statement 1

(may have more than 1 answer)

Accepted Answer

$$a\perp m$$

Accepted Answer

$$b\perp m$$

Answer

$$a\parallel b$$

Answer

When is this class over?

Question 49

What is reason 1

Accepted Answer

Given

Answer

Prove

Answer

Math Rules!

Answer

When is this class over?

Question 50

What is statement 2/3

(may have more than 1 answer)

Accepted Answer

$$\angle1\ is\ a\ right\ angle$$

Accepted Answer

$$\angle2\ is\ a\ right\ angle$$

Answer

$$\angle1=90\degree$$

Answer

$$\angle2=90\degree$$

Question 51

What is the reason for 2 & 3

Accepted Answer

Definition of Perpendicular

$$\left(Def\ \perp\right)$$

Answer

Given

Answer

Prove

Answer

Definition of Right Angle

$$\left(Def\ Right\ \angle\right)$$

Question 52

What is statement 4

Accepted Answer

$$\angle1\cong\angle2$$

Answer

$$a\parallel b$$

Answer

$$\angle1=90\degree$$

Answer

$$\angle2=90\degree$$

Question 53

What is the reason for 4

Accepted Answer

Right Angle Congruence

$$Right\ \angle\ \cong$$

Answer

Prove

Answer

Definition of Right Angle

$$\left(Def\ Right\ \angle\right)$$

Answer

Definition of Perpendicular

$$\left(Def\ \perp\right)$$

Question 54

What is statement 5

Accepted Answer

$$a\parallel b$$

Answer

$$m\angle1=m\angle2$$

Answer

$$\angle1=90\degree$$

Answer

$$\angle2=90\degree$$

Question 55

What is the reason for 5

Accepted Answer

Corresponding Angle Converse

$$\left(Corr\ \angle\ Converse\right)$$

Answer

Corresponding Angle Postulate

$$\left(Corr\ \angle\ \cong\right)$$

Answer

Prove

Answer

Definition of Perpendicular

$$\left(Def\ \perp\right)$$

Question 56

How do you feel about the quiz tomorrow?

Accepted Answer

Give it to me now! I am going to rock this quiz!!! :)

Accepted Answer

I am ready but want to study tonight so give it to me tomorrow! :)

Accepted Answer

I am unsure how I will do. :\

Accepted Answer

I have no clue what I am doing and do not want to take this because I don't think I will do well :(

Review Parallel Proofs

60 questions

What would statement #1 be

Your first statement is ALWAYS the information in the given

What would reason #1 be

Your first reason is ALWAYS "Given"

What could statement #2 be

If a line and ray are perpendicular, then they form right angles.

What could reason #2 be

If a line and ray are perpendicular and they are forming right angles, the reason is definition of perpendicular.

What could statement #3 be

If you have a right angle, then its measure is 90 degrees

What could reason #3 be

If you are going from the word right angle to the angle being equal to 90 degrees, then the reason is definition of right angle

What could statement #4 be

You have changed everything you can from the perpendicular to right angle to the angle equaling 90 degrees. If you go back to the given, you have 2 congruent angles. You are working with an equal sign, so we need to change them to a congruent sign.

What could reason #4 be

If you are going from the word right angle to the angle being equal to 90 degrees, then the reason is definition of right angle

What could statement #5 be

From statement 3 you have the measure of angle 2 = 90 degrees. In statement 4, you have that angle 1 = angle 2. You can changed the angle 2 to angle 1.

What could reason #5 be

If you are taking something out and replacing it with something else of equivalence, then you are substituting.

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