Question

Mathhhh helppppppppppppppppppp

4. Which statement is true?


A)If two figures are similar, then corresponding sides must be congruent.


B)If two figures are similar, then they are congruent.


C)If two figures are congruent, then they are similar.


D)If two figures are congruent, then they have the same shape but not necessarily the same size.


5. The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21 ft, what is the length of its longer side?

A)26 ft


b)30 ft


c)24 ft


d)28 ft



6. A painting is 24 in. wide by 32 in. long. The width of a postcard reduction of the painting is 3 in. How long is the postcard?


a)4 in.


b)9 in.


c)6 in.


d)8 in.


8. These polygons are similar. Find the value of y.LOOK AT THE 1ST PICTURE.


a)3.5


b)6


c)4.5


d)5.5


9. ABCDE ~ GHJDF. Complete the statement: .GH/DJ=AB/? look at the 2nd picture.

A)JC

B)BC


C)DC


D)AE

Answer 1

For number four, the correct answer is C) If two figures are congruent, then they are similar. Because congruent is where two angles are the exact same degrees!

For number five, the correct answer is D) 28 feet because for every three feet on the short side, there is four feet on the long side. If the short side is 21 feet it was three times SEVEN, therefore you have to multiply seven to the long side as well and you get 28 feet!

For number six, the correct answer is A) 4 in because it was 24 then it went to three, so divide those two and you get four!

For the number eight, the correct answer is B) 6 because the sides are the same, so look at the left one to find the matching sides!

For the number nine, the correct answer is C) DC because the sides are the same, so if the answer to the smaller one is the base, the bi gger one has to be the base as well, which is DC!

I hope all of these answers helped!!!

Answer 2

4. C)If two figures are congruent, then they are similar.
If they are congruent them shape and size are the same and hence they are similar

5. Ratio 4/3 smaller side is 21
Multiply to find large side
4/3×21= 28ft D)

6. Width went from 24 to 3 in divide to get ratio
24/3 =8 now divide the length by 8 to find the postcard length
32/8= 4 in A)

8. If they are similar you need to find the ratio y reduces from 8 is similar to 6 so link those 6/8
This is your ratio you can simplify it to 3/4 now y/6 should also = 3/4
Y/6=3/4
Y=18/4= 4.5 C)

9.C)DC