Question

i need some help

Answer 1

@Vocaloid

Answer 2

hm, not quite,

the original length of QR is 5 and the scale factor is 1.5 right

so the new length Q'R' is just 5 * 1.5

Answer 3

first you must calculate the area of the triangle that's on the graph

area = (1/2)bh

Answer 4

so 108?

Answer 5

108? judging by the size of the triangle it's much smaller than that

the base of the triangle is KM, how long is KM?

Answer 6

6, or -6

Answer 7

area is always positive, so 6 not -6

now, that's the area of the original triangle, but we want the dilated one

for area, we apply the scale factor twice

so 6 * 1/4 * 1/4 --> simplify to get your sol'n

Answer 8

0.06

Answer 9

so it's just 6?

Answer 10

ot like, 600?

Answer 11

the scale factor is 1/4

the original area is 6

6 * (1/4) * (1/4) = ?

Answer 12

0.375

Answer 13

good

(idk whether they want decimals or fractions, since they give you 1/4 they may want 3/8 as the solution instead of 0.375)

Answer 14

good

Answer 15

hm not quite check your calculations again

triangle proportionality theorem

3/(x-1) = 5/(x+1) solve for x

Answer 16

might be going soon

but you just need to cross multiply

3(x+1) = 5(x-1)

distribute the 3 and the 5

then solve for x

Answer 17

4

Answer 18

good so x = 4 = your sol'n

Answer 19

notice how we are only given two angles

so it must be angle-angle

Answer 20

going to get some dinner

Answer 21

ok

Answer 22

@Vocaloid back yet?

Answer 23

yes

Answer 24

hm not quite

symmetric states that if b = a then a = b

notice how we have

UXA ~ WXY
WXY ~ VXZ
therefore
UXA ~ VXZ

this is another form of the transitive property

Answer 25

other way around

since x + 4 and 8 are the sides of the small triangle

and 18 and 10 are the sides of the big triangle

it has to be (x+4)/18 = 8/10 not 10/8

Answer 26

hm

if we rotate the triangle so that they're both in the same orientation

we can see we have the proportion

12/10 = 15/12.5 right? that means the two sides given are similar

Answer 27

so we have

two sides
the angle next to the two sides

this is the SSA similarity theorem (unlike SSA congruence theorem which doesn't exist, SSA similarity is real)

Answer 28

wait

Answer 29

huh, weird, SSA isn't one of the choices

let's go with your choice then

Answer 30

good

Answer 31

careful

is 4/5 equal to 9/10?

Answer 32

so C?

Answer 33

good

Answer 34

good

Answer 35

huh

not sure how to solve this but A is the only one that seems physically possible

Answer 36

good

Answer 37

almost

MLN and OLN are not corresponding (try rotating the two halves so the congruent sides are lined up)

it ends up being ONL and MLN (first choice) the ones being congruent

Answer 38

sides across from bigger angles are bigger

so FG has to be less than KM

Answer 39

*less than ML

Answer 40

so it needs to be a less than sign (without the equal part)

Answer 41

hm, not quite, it only tells you which angles are bigger than others, so false

Answer 42

not quite

it has to be the angles in between the two congruent sides

so the two angles marked in yellow

Answer 43

so...wait...

Answer 44

UVT and WVT?

Answer 45

*WTV not WVT (pay attention to the letter order)

so D

Answer 46

not quite

for an indirect proof, take the "prove" statement and assume the opposite

Answer 47

so B?

Answer 48

good

Answer 49

hm. not quite.

the left angle is smaller than the right angle

so the left segment is smaller than the right segment

so the right segment needs to be longer than 27 not shorter

Answer 50

so 29?

Answer 51

yup good

Answer 52

hm not quite

notice how the side across from S is larger than the side across from B

so S is bigger than B

Answer 53

@Vocaloid

Answer 54

notice how it's in the form a = b then b = a

which property of equality is this?

Answer 55

reflexive?

Answer 56

symmetric not reflexive

reflexive would be a = a

Answer 57

can I see what the paragraph proof is?

Answer 58

alright, B is correct then

Answer 59

good but make sure to spell it right

*transitive

Answer 60

EF = FG
FG = GH

therefore

EF = GH

this is transitive not symmetric

Answer 61

<1 is congruent to <2
<2 is congruent to <3

<1 is congruent to <3 using the same logic as before, transitive

Answer 62

nothing is being added together so segment addition isn't applicable

notice how something is stated to be equal to itself (reflexive)

Answer 63

I think we did this one already

we said it was a case of congruent complements

Answer 64

oh, right, i forgot..

Answer 65

same logic as before, if something is equal to itself it's reflexive not addition

Answer 66

i dont know if we've done this question before, possibly, i;m just tired atm

Answer 67

good

Answer 68

good

Answer 69

this one i feel we did before

Answer 70

oh I think I finally figured out this one

since they went from 90 + BAD = 180, they subtracted 90 from both sides to get BAD = 90

so subtraction not symmetric

Answer 71

hm

it says "definition of" so they're probably looking for the name of a geometric figure not a postulate

so "congruent segments" is probably what they're looking for

Answer 72

not segment addition. nothing is being added up.

AB = EF
EF = CD

AB = CD via transitive

Answer 73

hm, not quite

it's only talking about <QRS which is only one angle so it cannot be a pair

looking at QRS is it a right angle or a straight angle?

Answer 74

straight

Answer 75

good so A is the better option

Answer 76

it's about 2 in the morning here so i'd better get to bed

will be on tomorrow if no other plans come up