Question

Parallelograms

Answer 1

The diagonals of a parallelogram bisect each other. Do you know what that means?

Answer 2

it means they cross and divide the shape evenly?

Answer 3

Basically, but what does that mean for the diagonals EG and HF

Answer 4

they are equal lengths?

Answer 5

These diagonals intersect each other at point J

Answer 6

>~>

Answer 7

so ej = 1/2 eg

Answer 8

Yes

Answer 9

What's other half of EG

Answer 10

3x

Answer 11

or JG

Answer 12

so what does this mean we can do

Answer 13

uhh set them equal to each other

Answer 14

x^2-4 =3x

Answer 15

Do you know what to do from here?

Answer 16

I do, but never dealt with exponents before

Answer 17

\[x^2 - 4 = 3x\]
\[x^2 - 3x - 4 = 0\]
\[(x -4)(x + 1) = 0\]
\[x - 4 = 0 \rightarrow x = 4\]
\[x + 1 = 0 \rightarrow x = -1\]

Answer 18

If we were to use -1 we would get negative numbers, and lengths can't be negative, so we use 4.

Answer 19

Input 4 and solve ._.

Answer 20

4x3 = 12

Answer 21

Yes so we know what x is now. And the question wants to know the length of the diagonal EG.

Answer 22

24

Answer 23

Good job