Question

Triangle STU is similar to triangle VWX. Which statement is true about the two triangles?

Angles S and V are congruent.
Angles T and U are congruent.
Angles T and W are proportional.
Angles V and X are proportional.

Answer 1

@Anaise

Answer 2

@ganeshie8

Answer 3

@happy_to_help

Answer 4

plz im taking a test

Answer 5

Angles S and V are congruent.


We are given that the triangle are similar, meaning that their sides are proportional. Given this, no matter what proportionality factor, the angles are always the same.

Answer 6

thanks @CShrix

Answer 7

You are welcome.

Answer 8

:)

Answer 9

Are the following figures similar?

Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15.

Answer 10

can you help me here too?

Answer 11

@CShrix @happy_to_help

Answer 12

plz

Answer 13

@CShrix Whered u go?
plz help

Answer 14

To find congruence, we need to see if the sides are proportional.
Let's look at the top side:
\[\frac{25}{15}=\frac{5}{3}\]
Left side:\[\frac{5}{3}=\frac{5}{3}\]

Therefore, given that the respective sides of the rectangles are congruent with the same constant of proportionality, then the rectangles are similar.

Answer 15

Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
Yes; the corresponding sides are proportional
No; the corresponding sides are not proportional

Answer 16

so its yes proportional?

Answer 17

It is paramount to know the difference between congruence and equality. These rectangles are not equal (=). They have different dimensions and different areas. However, given that they are proportional, then they are considered congruent or similar (≅)

Answer 18

yes congruent?

Answer 19

i suck at all geometry

Answer 20

Technically, both are true. But all rectangles have 4 right angles. But if we look at any two rectangles with 4 right angles, then they might not be similar.

In this case, we proved that the rectangles are similar through the proportionality of their sides lengths. I would pick C.

Answer 21

Thanks :)