Question

Quadrilateral ABCD with vertices at A(-5,-1),B (2,4),C (9, 2), and D (2,-3) is shown.
Diagonal BD is drawn. Use coordinate geometry to prove that angels ABD=CDB.

Answer 1

...it looks like that

Answer 2

Good drawing!

Answer 3

The first thing is your points need to have two numbers each. Coordinate pairs have an x value and a y value (x,y).

Answer 4

well ya they do in the question :)

Answer 5

Right, your drawing should have that information too. What are the numbers in your drawing?

Answer 6

Ahem, diagram*.

Answer 7

Good.

Answer 8

-5-1 lol I messed up on the picture xp

Answer 9

That's okay, just remember it's (-5, -1) for the calculation.

Answer 10

Okay, next question, what is the distance formula?

Answer 11

lol I thought you were just going to give me the answer so its not long and confusing XD

Answer 12

Use the distance formula to find the length of AB, BC, BD, CD, and AD.

Answer 13

Distance Formula
\[distance = \sqrt{(x _{1} - x _{2})^{2} + (y _{1} - y _{2})^{2}}\]

Answer 14

Lets find AB together using the distance formula.

Answer 15

3.4?

Answer 16

8.6!?

Answer 17

\[AB = \sqrt{(-5 - 2)^{2} + (-1 - 4)^{2}}\]
\[AB = \sqrt{(-7)^{2} + (-5)^{2}}\]
\[AB = \sqrt{49 + 25}\]
\[AB = \sqrt{74}\]

Answer 18

ya 8.6 lol

Answer 19

Great!

Answer 20

Okay, now use the distance formula to find BC, CD, AD, and BD.

Answer 21

ok now the whoe final answer all together is what lmao =p

Answer 22

whole

Answer 23

This is a proof problem that requires multiple steps. Thank you for being so patient with this.

Answer 24

Okay, find BC using the distance formula.

Answer 25

lol 7.2

Answer 26

BC = sqrt( (2 - 9)^2 + (4 - 2)^2)
BC = sqrt( (-7)^2 + (-2)^2)
BC = sqrt( 49 + 4)
BC = sqrt(54)
BC = 3 * sqrt(6)

Answer 27

hmmm, I'm getting 7.34.

Answer 28

Can you show me any of the work that you are doing to get your answers?

Answer 29

What was the number under the square root?

Answer 30

Ah, I found my mistake.