Question

For the quadrilateral ABCD, the diagonals bisect each other.

The flowchart shown below is used to prove that quadrilateral ABCD is a parallelogram.

In the flowchart, what is justification B?

Corresponding angles are congruent

Corresponding parts of congruent triangles are congruent

Alternate interior angles are congruent

Reflexive property

Answer 1

@ganeshie8

Answer 2

I think it's choice 2

Answer 3

hint : ABO and CDO are alternate interior angles.

Answer 4

So the 3rd choice?

Answer 5

if alternate interior angles are congruent, then lines are parallel. So the 3rd choice.

Answer 6

Thank you! Okay, I have this one too:

What is the measure of Angle F?

Answer 7

count how many sides it has

Answer 8

6

Answer 9

so, 10(6) - 4 = 60 - 4 = 56

Answer 10

Or is that completely wrong?

Answer 11

use sum of interior angles in a polygon formula :-

(n-2)*180

Answer 12

add all the angles

Answer 13

(6-2)*180 = (4)*180 = 720 ??

Answer 14

sum of all the angles equals that

Answer 15

use that to find x first

Answer 16

How do I do that?

Answer 17

add all the angles, write down.

Answer 18

134 + 128 + 10x-4 + ...... = 720

solve x

Answer 19

getting ?

Answer 20

262 + 10x - 4 = 720 ?

Answer 21

is it 146?

Answer 22

x = 15?

Answer 23

forget it

Answer 24

il show u the complete solution

Answer 25

Sum of angles in a n-sided polygon addup to (n-2)*180 :

134 + 128 + 10x-4 + 5x+8 + 5x+8 + 10x-4 = (6-2)*180

270 + 30x = 720

30x = 450

x = 15

Answer 26

F = 10x-4
= 10*15-4
= 146

Answer 27

oh ! you got the same thing !!!

Answer 28

Thats what I did on a piee of paper

Answer 29

i overlooked your computations sorry friend :)

Answer 30

That's okay! Thanks for the help! (:

Answer 31

you welcome :)