3.7.1 - Test: Similarity Unit Test Part 1

Question

Q1. The Sears Tower in Chicago is 1,450 feet tall. A model of the tower is 24 inches tall. What is the ratio of the height of the model to the height of the actual Sears Tower?
A. 1:725
B. 725:1
C. 12:725
D. 725:12
Q2. Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
A. TUWV ~ DEFG; 4.5:2.8
B. TUWV ~ EFGD; 6:2.1
C. TUWV ~ DEFG; 6:4.5
D. The polygons are not similar
Q3. What similarity statement can you write relating the three triangles in the diagram?
A. ΔRST ~ ΔSRU ~ ΔSUT
B. ΔRST ~ ΔRUS ~ ΔSUT
C. ΔSUT ~ ΔSRU ~ ΔRTS
D. ΔRTS ~ ΔRSU ~ ΔTUSQ4.
Q4. What are the values of a and b?
A. a=400/21, b=580/21
B. a=400/21, b=20/21
C. a=580/21, b=29/21
D. a=20/21, b=580/21
Q5. What is the value of x to the nearest tenth? The figure is not drawn to scale.
A. x = 35.6
B. x = 10.5
C. x = 4.9
D. x = 1.5Q6.

Q7. Are the two triangles similar? How do you know?
A. no
B. yes; by AA ~
C. yes; by SAS ~
D. yes; by SSS ~

Q8. What is the geometric mean of 3 and 7?
A. square root of 21
B. 2 square root of six
C. 2 square root of 7
D. 21
Q9. What is the length of the altitude drawn to the hypotenuse? The figure is not drawn to scale.
A. 24
B. square root of 24
C. 143
D. square root of 143
Q10. What is the solution to the proportion? 6/11=m/121
A. 66
B. 11
C. 1/66
D. 1
Q11. What is the value of x, given that PQ || BC?
A. 10
B. 5
C. 7
D. 8
Essay Q12. Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
Essay Q13.Complete the proof.

Given: AB · BE = CB · BD
Prove: ΔABC ~ ΔDBE
1. AB * BE = CB * BD | 1. Given
2. CB/BE=AB/BD | 2. Property of?
3. Angle ABC is congruent to Angle DBE | 3. ?
4. Triangle ABC ~ Triangle DBE | 4. ?

I would really appreciate the help, thank you to who ever helps in advance.

Answer 1

Wow! those are a lot :o I don't know all these answers yet, but if I do, ill post them here 😁

Answer 2

When posting a homework dump, at least show that you have tried to work them some on your own ...

Answer 3

Ok, thanks

Answer 4

Ok so for the 2nd question, the answer is D

Answer 5

Idk the first one....

Answer 6

also @oobleck don't be rude

Answer 7

I appreciate your help :D

Answer 8

Yeah, I didn't even wrote that. Please try to be more positive this is hard

Answer 9

sorry this is confusing

Answer 10

hmm let me see

Answer 11

It is indeed confusing, since on most of the questions, important information is not given. No figures or drawings can be posted on this site.

Answer 12

It is confusing, but please be more nice since it is. This person might be struggling with these questions.

Answer 13

ummmm where are the pictures

Answer 14

Oh, you need the pictures?

Answer 15

Also, someone used my name and used improper grammar.

Answer 16

yeah, I cant help with the questions that need pictures :(

Answer 17

Oh, ok, sorry

Answer 18

But if you need a website that can help with those, you can use brainly

Answer 19

Thanks for your help though!

Answer 20

Your welcome :) Have a nice day and stay safe and I hope somebody answers your questions!

Answer 21

Have a heavenly day!

Answer 22

wow, still no answers :/

Answer 23

1. D) 1:727

2. D) The polygons are not similar

3. B) RST~RUS~SUT

4. B) x=9/4, y=15/4

5. C) x=9.6

6. B) Sometimes

7. C) Yes; by SAS ~

8. D) Square root of 77

9. B) 27

10. C) Square root of 105

11. B) 25

12. B) 5

13. No because 48:120 and 12:24 aren't equivalent ratios. (You can write an explanation.)

14. A) Angle H is equal to angle B.
B) GH/DJ = AB/DC

15. 5 feet tall -
6/108 = x/90
108x = 540
x = 5 feet tall

16. You don't need a side-splitter theorem. Use a ratio to solve for x.

17. 2) Property of cross multiplication
3) Vertical Angles
4) SAS property of similarity

Hope this helps sorry if I'm late :/

Answer 24

thank you Yuor wdlcome UsU!! Apriceate it

Answer 25

So... alot of these answers are wrong