Question

In the figure below, segment RS is the altitude of the hypotenuse of triangle PQR.
Which proportionality statement is true?

Segment RS by QP is equal to segment QS by RS.

Segment RS by QP is equal to segment PS by RS.

Segment RS by QS is equal to segment PS by RS.

Segment RS by QS is equal to segment QR by RS.

Answer 1

altitude = geometric mean of hypotenuse segments

Answer 2

RS^2 = QS x PS

Answer 3

see which of the option gives you above relation

Answer 4

D??

Answer 5

looks wrong, cuz option D doesnt even have PS in it

Answer 6

oh so C then?

Answer 7

C = \(\checkmark \)

Answer 8

thanks :)

Answer 9

yw :)

Answer 10

mind helping with one more please :) ??

Answer 11

Triangle PQR is similar to triangle ABC in the figure below
What is the perimeter of triangle ABC?

10.5 inches

39.9 inches

42.0 inches

60.65 inches

Answer 12

perimeter is just the length around the figure

Answer 13

simply add all the sides of triangle ABC :)

Answer 14

perimeter of ABC = 14 + 17.5 +..
uhh they didnt give another side,
how do we find the missing side ?

Answer 15

angle angle simlitary postulate is what we are dealing with?

Answer 16

thats right !

we use the given fact that both triangles are similar, lets setup a proportion and find the missing side

Answer 17

\(\large \frac{14}{4} = \frac{AC}{3}\)

cross multiply and solve AC

Answer 18

10.5 :)

Answer 19

once you have AC, just add all the lengths and find perimeter

Answer 20

alright hold on

Answer 21

final answer is 42.0?

Answer 22

Yes !

Answer 23

i dont want to bother you sorry but can i just ask you if i got the right answer to this one?

Answer 24

The figure below shows four locations on a map.
Which of the following statements is most likely correct?

Location 1 is closer to Location 2 than Location 4.

Location 1 is closer to Location 4 than Location 2.

Location 1 is at equal distance from Location 2 and Location 4.

Location 1 is at equal distance from Location 2 and Location 3.

Answer 25

I chose B

Answer 26

and you're right
location 1 is closer to location 4, cuz the angle is small, its just 83.
small angle eats small side

Answer 27

whereas the other side, the angle is 180-83 = 97. which is larger than 83
big angle eats big side

Answer 28

so, distance between location1 and location4 is less

Answer 29

yea that's what i did ;) thanks your a big help

Answer 30

np :) you're wlcme !