Question

Stephen is making a map of his neighborhood. He knows the following information:

His home, the bus stop, and the grocery store are all on the same street.
His home, the park, and his friend's house are on the same street.
The angle between the park, the bus stop, and his home is congruent to the angle between his friend's house, the grocery store, and his home.

Answer 1

What theorem can Stephen use to determine the two triangles are similar?
Side-Side-Side Similarity Theorem

Angle-Angle Similarity Theorem

Corresponding Parts of Similar Triangles are Congruent

Angle-Side-Side Similarity Theorem

Answer 2

http://learn.flvs.net/webdav/assessment_images/educator_geometry/v15/module05/05_10_b21.jpg

Answer 3

@ganeshie8

Answer 4

@jim_thompson5910

Answer 5

someone please help

Answer 6

@raeror

Answer 7

got any hints?

Answer 8

@mortega115

Answer 9

@HisOnlyForever

Answer 10

@mathmate

Answer 11

please help me someone its important

Answer 12

i want an explanation not just the answer please

Answer 13

\(Im~So~Sorry~But~I~Stink~@~Math~:(\)

Answer 14

ok np

Answer 15

schoolhelp you know?

Answer 16

@xkirkox

Answer 17

I think is angle angle

Answer 18

how did ya come up with that

Answer 19

i had an idea it was that too i wasnt sure

Answer 20

Well it mention multiple angles, so just get rid of SSS

Answer 21

ok

Answer 22

it could still be CPCTC

Answer 23

idk man i stink at math

Answer 24

@mrsushi808`

Answer 25

@ganeshie8

Answer 26

@sweetsunray

Answer 27

Angle side side does not exist its a trap.

Answer 28

ok i know that.

Answer 29

its between ss and cpctc

Answer 30

sorry i just seen this lol

Answer 31

its ok

Answer 32

do you have an idea

Answer 33

let me see i'll re-read

Answer 34

ok np

Answer 35

sweetsunray probably got it she been typing for awhile and im doing bio hw

Answer 36

ok np

Answer 37

sweetsunray you got it?

Answer 38

There are several ways to determine whether two triangles are "congruent":

1) SSS (side side side): meaning that we know that the three sides of each triangle are exactly the same length
2) SAS (side angle side): meaning we know the length of two sides of each triangle is the same length, and that they angle between those two sides is equal too. If the two sides of each triangle are separated from each other by the same angle, then the third side (opposite of the known angle) must be the same length as well. You can try it: draw two sides of a self chosen length, at a self chosen angle. Now draw two sides of the same length at the same angle. Now draw the third side in another color for each triangle and measure it. It'll be the same size.
3) AAS (angle angle side): if you know two angles, then you automatically know the 3rd angle, because the sum of all three angles in a triangle is always 180°. So, if two angles of each triangle are the same, then their third angle must be the same too. HOWEVER, you can draw infinite amount of triangles having the exact same angles, but of different sizes. So, apart from the two angles, one side (the side that does not lie between those two angles, but only lies next to one of them) of each triangle must be the same.

The order of the letters follows the visual order of the sides and angles in relation to each other. You can't just jostle the letters about.

Here's a link with pictures that might make it more clear to you.
http://www.mathsisfun.com/geometry/triangles-congruent-finding.html

So, reading that, which of the 4 do you think is the right answer?

Answer 39

i think its AA or cpctc

Answer 40

It's A
AA is not enough, you need a Side as well
retricedoes not exist amongst the 3 theorems
and the third option is too genearl

Answer 41

that should read SSA does not exist amongst the 3 theorems (hint: writing it the other way around couldn't pass the censure)

Answer 42

so its sss

Answer 43

thanks so much

Answer 44

Yup

Answer 45

The description of the houses and street tries to throw you in a loop, by mentioning that he knows at least one angle of each geographical triangle is congruent (the same). But the options that mention A are false.

Answer 46

I mean "the options that mention A(ngle) are false

Answer 47

Try to memorize those 3. A few tricks not to confuse them

SSS - snake
SAS - SOS with an A
AAS - polite A*S that won't be censured

Answer 48

thanks