Question

G: <1 COMP<2
<3 COMP<2
P: QT PARALLEL RS
WRITE 2 COLUMN PROOF

Answer 1

@jim_thompson5910 stuck again please help

Answer 2

show me what you have so far

Answer 3

1. <1 COMP <2 1. GIVEN
2. <3 COMP <2 2. GIVEN
3. <1 & <2 RT ANGLE 3. DEG OF RT ANGLES
4. <3 RT ANGLE 4. DEF OF RIGHT ANGLES

Answer 4

how do you know that " <1 & <2 RT ANGLE" ?

Answer 5

ARENT 2 COMP ANGLES EACH 90 DEGREES SO IT FORMS RIGHT ANGLES

Answer 6

they aren't 90 degrees on their own

they are complementary angles, so they add to 90

Answer 7

oh ok

Answer 8

so say

m < 1 = x
m < 2 = y
m < 3 = z

Answer 9

angles 1 and 2 are complementary, so,

x+y = 90

Answer 10

2 and 3 are complementary

y+z = 90

Answer 11

so what would my reasons be for :
m < 1 = x
m < 2 = y
m < 3 = z
and x+y = 90
and y+z = 90

Answer 12

the first three lines are simply definitions or assignments

Answer 13

we're letting angle 1 be x, 2 be y, 3 be z

the last two lines are basically true because of the definition of complementary.

Answer 14

so now i think the last step would be the prove but can't figure out the reason

Answer 15

hint:

x+y = 90
z+y = 90

what can you say about x and z?

Answer 16

there corresponding angles?

Answer 17

what else

Answer 18

there cong.

Answer 19

correct, so x = z

meaning that angle 1 is congruent to angle 3

Answer 20

What's the next step?

Answer 21

im not sure

Answer 22

1 and 3 are corresponding angles

Answer 23

they are congruent

so that must mean these two lines are parallel

Answer 24

ok so can i just say if 2 angles are cong then the 2 lines are parallel

Answer 25

yes because of the corresponding angles converse

Answer 26

ok thank you:)

Answer 27

you're welcome