Question

I need help with the distance formula on a original triangle then a reflected triangle one.. i've tried this so many times and i keep messing up. I'm not quite sure how to post a picture so i'll give the points for the triangles. A (6,3) B (6,-3) C (-2-3).... A' (-6,3) B' (-6,-3) C' (2,-3)....Using the distance formula d= square root of (x^2-x^1)^2 + (y^2-y^1)^2...but only A&A' and B&B' = 12.. C&C' = 0.. please help..i'll try to post a picture.. btw this is for FLVS Geometry 2.06 Activity

Answer 1

yup go on post a pic

Answer 2

Okay, i'll take one now

Answer 3

I'm trying to a take a picture of my work but it's blurry so i'll try to upload is from my Ipad

Answer 4

I guess it won't let me... I'll try to take it on here i guess

Answer 5

so what exactly are you trying to do? find the distance from A to A' ? same for B and B', C and C'

right? or no?

Answer 6

I sent it, sorry for the bad quality.

Answer 7

yes, A&A', B&B', and C&C' should all = the same number after being put through the distance formula.. but i got the same fore the A& B pairs but not C.. i'm not sure what i'm messing up on.. i think i just need a pair of second eyes to catch my mistake

Answer 8

I think you are mixing up the points

Answer 9

when you reflect ABC over the y axis, these equalities should be true

AB = A'B'
BC = B'C'
AC = A'C'

Answer 10

this is because reflections preserve distances/lengths

Answer 11

If you use the distance formula, you'll find that the distance from A to B is 6

so, AB = 6

also, you'll find the distance from A' to B' is 6 as well

A'B' = 6

You would do the same for the other pairs of sides

Answer 12

It told me to prove that the triangles are congruent to one another... in the lesson it said to use the distance formula from A-A', B-B', and C-C'... not on the same triangle.. I'll copy and paste what the assignment says so it makes more sense

Answer 13

alright

Answer 14

Great work so far! The police department now needs you to take the original triangle and reflect it. For this step, you will need to identify and label three points on the coordinate plane that are a reflection of the original triangle. Next, use the coordinates of your reflection to show that the two triangles are congruent by the ASA postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit.

A triangle is shown on the coordinate plane. One vertex of the triangle, located at 6, 3 is labeled Cubic Storage. Another vertex at 6, negative 3 is labeled Geometric Gems. The third vertex at negative 2, negative 3 is labeled Wright Bank.

Answer 15

is that all it says? or is there more?

Answer 16

I don't see where it says "A to A', B to B', C to C'"

Answer 17

that's what originally taught us in the beginning of the lesson... i'll try to go back

Answer 18

I'm not sure where is said it but maybe that's for something else.. but it did say to do A&B then A'&B'..so i'll try that instead

Answer 19

notice how it says "...show that the two triangles are congruent by the ASA postulate."

so you need to show that 2 pairs of angles are congruent and a pair of sides are congruent (the sides are between the angles)

Answer 20

honestly, if it were up to me, I'd use SSS since that's the easiest. Computing angles isn't always accurate and you may not have the necessary tools yet to do so

Answer 21

Okay, I'll go further back in the lesson and maybe it will give me a way to find the angles.. but you helped me so thank you so much!! I've been stuck on this stupid thing for days!

Answer 22

I'm guessing you weren't able to contact the teacher at all in that long length of time?

Answer 23

but I'm glad I could help out

Answer 24

correct, since we were on break.. they won't be back until monday

Answer 25

oh gotcha, that makes more sense now