Question

Based on the given information, what can you conclude, and why?

Given: 12 years ago

Answer 1

HIJ = JLK by ASA because <HJI=<LJK (vertically opposite angles)

Answer 2

Would you mind if you help me with another question @yohaanyo ?

Answer 3

Given QRS = TUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV.

Answer 4

i have no idea how to do this

Answer 5

Ok, thanks for trying.

Answer 6

@phi ...gotta sec ?

Answer 7

@johnweldon1993 ... u any good with congruence man?

Answer 8

qrs tuv questions... struggling

Answer 9

when they say
triangle QRS = triangle TUV

that means (assuming they did it correctly), that vertex Q corresponds to T, R to U, and S to V
and, for example, leg QR= leg TU

or, in this case, QS= TV

Answer 10

I need the length of QS and TV, I know they're congruent.

Answer 11

you have an algebra problem
3v + 2 = 7v - 6

solve for v. then use v to figure out the length

Answer 12

I would add -3v to both sides
then add + 6 to both sides

Answer 13

Like 3v + 2 - 3v = 7v - 6 - 3v, then after that 3v + 2 + 6 = 7v - 6 + 6?

Answer 14

the first step,
3v + 2 - 3v = 7v - 6 - 3v
you should simplify that
on the left side you have 3 v's take away 3 v's (and +2)
that simplifies to just +2
what about on the right side ?

Answer 15

7 v's take away 3 v's leaves how many v's?

Answer 16

4 v's?

Answer 17

yes, and what is the equation?

Answer 18

4v - 6

Answer 19

you should get
3v + 2 - 3v = 7v - 6 - 3v

2 = 4v - 6

Answer 20

btw, when solving equations always write out the whole equation with the = (or you might lose track of what is going on)

Answer 21

now you have
2 = 4v - 6

add +6 to both sides, and simplify
what do you get ?

Answer 22

2 + 6 = 4v - 6 + 6

Answer 23

yes, and what do you get after simplifying 2+6 on the left side ?

Answer 24

8

Answer 25

you should get 6+2 is 8 on the left side.
8 = 4v -6 + 6
on the right side -6+6 adds up to 0
8 = 4v + 0

Answer 26

adding zero to anything does not change the answer. in other words 4v+0 is just 4v
we get
8 = 4v

the last step is divide both sides by 4

Answer 27

8/4 = (4v/4)

2 = v

Answer 28

now that you know v = 2

you can find
QS = 3v + 2
(btw 3v is short for 3 times v or 3*v)
replace the v with 2
QS= 3*2 + 2
simplify

Answer 29

QS = 11

Sorry, @phi I was having computer problems.

Answer 30

how did you get 11?

QS= 3*2 + 2
remember order of operations. first do multiply: 2*3
then add 2

Answer 31

as a check, (because we know QS is congruent (same length) as TV)
TV = 7v - 6
should give the same answer (using v=2)

Answer 32

QS = 8
TV = 8

Answer 33

yes, that looks good.