## anonymous one year ago 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.

1. anonymous

@Anaise

2. anonymous

@ganeshie8

3. anonymous

@happy_to_help

4. anonymous

plz im taking a test

5. anonymous

Angles S and V are congruent. |dw:1444330247536:dw| 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.

6. anonymous

thanks @CShrix

7. anonymous

You are welcome.

8. anonymous

:)

9. happy_to_help

10. anonymous

Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15.

11. anonymous

can you help me here too?

12. anonymous

@CShrix @happy_to_help

13. anonymous

plz

14. anonymous

@CShrix Whered u go? plz help

15. anonymous

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.

16. anonymous

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

17. anonymous

so its yes proportional?

18. anonymous

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 (≅)

19. anonymous

yes congruent?

20. anonymous

i suck at all geometry

21. anonymous

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.

22. anonymous

Thanks :)