Question

Use the graph to answer the question.

https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q2.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

Point G is drawn on the line segment so that the ratio of FG to GH is 5 to 1.

What are the coordinates of point G ?

A. (4.5, 5)

B. (-5.5, -3)

C. (-5, -2.6)

D. (4, 4.6)

Answer 1

I imagine it like this:
If FG to GH is 5:1
Then the x-part and the y-part is also 5:1 ratio.

First we got to find the length of the x-bar and y-bar

Answer 2

Can you first find the length of that red line?

Answer 3

sorry I'm on a bus and my bus stop just came (and I can't draw on a bus lol) ill brb

Answer 4

it would be 5

Answer 5

Okay I'm back.

Sorry look at the picture you sent me.
On the x-line it goes from -8 to 7. That's a total of 15

Answer 6

Do you see what I'm saying?

Answer 7

oh yes now i do

Answer 8

Okay so since FG to GH is 5:1, that means FG is 5/6 of FH.

For the x-coordinate it's the same idea:

5/6 of 15 is 12.5

Answer 9

And since the x-coordinate of F is -8.

To find the x-coordinate of G we do -8 + 12.5

What's -8 + 12.5?

Answer 10

4.5

Answer 11

Yup.

Answer 12

Now we could do the same thing for the y-part, the vertical line.

But you already know that the x-part is 4.5 and only one of your answer choices has 4.5 as the x-coordinate. Do you see it?

Answer 13

A

Answer 14

ye

Answer 15

ok thank you on that but is it fine if you could help me with a few more please

Answer 16

sure

Answer 17

post a new question or here ?

Answer 18

just do it here idc

Answer 19

ok i'm glad you said that

Answer 20

Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A (2, 3) and B (14, 11).

Blank 1: x-coordinate

Blank 2: y-coordinate

Blank # 1 ___________
Blank # 2 ____________

Answer 21

Ah same thing as we did.

The x-coordinate is (14-2) * 1/4
The y-coordinate is (11-3) * 1/4

Answer 22

Directed line segment AB is partitioned into a ratio of 1:3. Which of the following represent this relationship?

A. https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q4D.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

B. https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q4B.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

C. https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q4C.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

D. https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q4A.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

Answer 23

what were you gonna say ?

Answer 24

I was gonna write a formula to solve these problems but nvm xd

Answer 25

ohh sorry

Answer 26

The ratio is 1:3. That means there's 4 pieces. (1+3)
1 is to the left of P, 3 is to the right of P

Answer 27

A correct ?

Answer 28

yeah

Answer 29

Point A is at (-3, -5) and point B is at (1, -9).

What is the midpoint of line segment AB?

https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q3.JPG?_&d2lSessionVal=szCZpsky3jFxsW8xRKwbYusXX

( ___________, _____________________ )

Answer 30

Well the midpoint is basically 1:1 ratio.

So 1-(-3) * 1/2 is the x-coordinate
-9 - (-5) * 1/2 is the y-coordinate

Answer 31

Line segment AB is shown on the graph.

https://learning.k12.com/content/enforced/384547-COF_ID96714/G-GPE.B.6%20Q1.JPG?_&d2lSessionVal=620X16hZ6jQlBXEPVcVD6laIk

Emily draws point C on the line segment so that the ratio of AC to CB is 3 to 1. What are the coordinates of point C?

A. (-1, 2)


B. (4, -0.5)


C. (3, 0)


D. (-2, 2.5)

Answer 32

the answer is B right i wanted to ask you to be sure

Answer 33

yeah

Answer 34

Geez that's a lot.

Well 1. Is Given because it says Given: line m is parallel to n

Answer 35

Angle 1 and angle 2 are corresponding angles. You know that all corresponding angles are congruent right?

Answer 36

For 3. All congruent angles have the same angle measure.

Answer 37

For 4. That's basically just the definition of a linear pair.

Answer 38

For 5. ALL linear pairs have a sum of 180 degrees. So they're supplementary.

Answer 39

Well I guess 5. was that all Linear Pairs are Supplementary angles. And for 6. All Supplementary angles add up to 180 degrees.

Follow me so far?

Answer 40

yes so far

Answer 41

Remember from step 3. that measure angle 1 = measure angle 2?
And from step 6 measure angle 2 + measure angle 3 = 180?
We can replace measure angle 2 with measure angle 1 in step 6 so it becomes.

measure angle 1 + measure angle 3 = 180.

That's the substitution property of equality

Answer 42

And for #8, that's just the definition of supplementary angles: All angles that add up to 180 are supplementary angles.

Answer 43

one thing for the first one on number 5 is do i put supplementary or supplementary angles or All Linear Pairs are supplementary angles ?

Answer 44

All Linear Pairs are supplementary angles

Answer 45

Starting with the 2nd one:

Answer 46

1. is Given. Obviously

Answer 47

2. Is definition of Linear Pair. Just by looking at the graph they form a straight line

Answer 48

3. As we've said, all linear pairs are supplementary angles.

Answer 49

4. And all supplementary angles add up to 180 degrees

Answer 50

Now for 5, the Triangle Sum Theorem says that all angles inside a triangle add up to 180 degrees.

That would mean angle 1 + angle 2 + angle 3 is 180 degrees

Answer 51

For 6. We already proved that angle 3 + angle 4 is 180 degrees. So this is like substituting the equation in 5. So I would call this Substitution property of equality.

Answer 52

For the final one 7. We had to prove that measure angle 1 + measure angle 2 = measure angle 4.

Answer 53

We get that by subtracting measure angle 3 from both sides of the equation from 6. So that would be the subtraction property of equality.

Answer 54

bro I'm tired now. gonna go sleep.

Answer 55

alright one more question and that's it please ? one last question

Answer 56

Okay so squares and rhombi

Here's a diagram I drew comparing a Square and a Rhombi

Answer 57

So for a, you could say that they all have sides of the same length.

And for b you could say that squares only have right-angles

Answer 58

For C, you could say that both of them have 2 pairs of parallel sides.

and for D, only rectangles need to have right-angles.

Answer 59

thanks a lot mhchen for all your help

Answer 60

i appreciate it