Question

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please help

Answer 1

Any ideas for the first part to circle?

Answer 2

uh idk
but i needa answer quick please

Answer 3

the first one is given

Answer 4

i need more help for the second one

Answer 5

Any idea what "bisect" means?

Answer 6

ok :(

Answer 7

it means divide into 2

Answer 8

Yes, so when we bisect angle L, what are we doing?
Specifically what can we say about the two smaller pieces (that result from the cut)?

Answer 9

they become 2 separate shapes?

Answer 10

Think about bisecting a segment that's 20 inches long
We cut it into two pieces that are each 10 inches long, agreed?
Now apply that idea to angles

Answer 11

ohh ok

Answer 12

so it would be segment bisector?

Answer 13

That (rather bad) drawing shows angle L bisected into two pieces M and N such that M = N

Answer 14

So for instance, say L is 60 degrees. Then M = 30 and N = 30 based on the drawing I did

Answer 15

ok

Answer 16

so it would be segment bisector?

Answer 17

no it would be definition of angle bisector because we're bisecting (cutting in half) an angle

Answer 18

oh right sorry

Answer 19

Angles GLE and ULE combine back to get the original angle L

Answer 20

the next one is symmetric?

Answer 21

Symmetric property is the idea if x = y then y = x

Answer 22

oh so reflexive since they are congruent to each other

Answer 23

yes

Answer 24

think reflection to help remember reflexive

Answer 25

ok

Answer 26

yup

Answer 27

is the next one given?

Answer 28

yes because you just restate what is shown at the top. Usually the given statements are together in the proof, or on nearby lines

Answer 29

ok thanks :)

Answer 30

is the next one right angles?

Answer 31

also convention usually has all the given stuff come first, since we build from what the teacher provides

Answer 32

we build from what was set up, or from previous lines. Look at the prior statement in the proof table

Answer 33

so its right angles?

Answer 34

note your teacher's use of this specific word
So we build from that statement to lead to the next reason

Answer 35

so its def. of perperdicular

Answer 36

yes

Answer 37

we state they are perpendicular (given) and then build off that by saying that two angles are right angles because of the definition of what it means to be perpendicular

Answer 38

ohh righttt

Answer 39

and then its all perpendicular lines are congruent

Answer 40

Saying "lines are congruent" has no meaning since lines don't have any length. If you said "line segments are congruent" then it would have meaning.

Also note what the statement is saying for this line. Are we talking about lines? or about angles? The reasoning must match up with the statement

Answer 41

oh so its all right angles are congruent

Answer 42

correct

Answer 43

since they are 90 degrees

Answer 44

ok

Answer 45

then is the last one is ASA?

Answer 46

yep because we have these two pairs of congruent angles
GEL = LEU (90 degree angles)
GLE = ULE (congruent angles from bisection)
and we have the side LE = LE between the angles mentioned

Answer 47

ok thank you! you are very helpful :)

Answer 48

no problem