Question
REASONING Triangles
and
are similar. Which statement is correct? Select all that apply.
(A)
(B)
©
(D)
7. USING STRUCTURE Rectangle
is similar to rectangle
. Rectangle
has side lengths of 6 anc 12. Rectangle
has a side length of 18 . What are the possible values for the length of the other side rectangle B? Select all that apply.
(A) 6
(B) 9
© 24
(D) 36
(A)
(B)
©
(D)
7. USING STRUCTURE Rectangle
(A) 6
(B) 9
© 24
(D) 36
Ask by Frazier Ford. in the United States
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
For similar triangles, the correct statements are (A) and (B). For similar rectangles, the possible lengths for the other side are (B) 9 and (D) 36.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Bonus Knowledge
If triangles
and
are similar, then all corresponding sides are in proportion. This means that:
- Statement (A) is correct because
follows the similarity ratio. - Statement (B) is incorrect as it mixes the sides without maintaining the correct proportional ratios.
- Statement © is incorrect because it reverses the order of sides.
- Statement (D) is incorrect due to incorrect side pairings.
For the rectangles, since rectangle
has side lengths 6 and 12, we find the ratio of similarity to rectangle
whose one side is given as 18. The ratio is
. Therefore, the other side of rectangle
must maintain this ratio relative to 6.
Possible calculations lead us to:
Possible calculations lead us to:
- If the shorter side of rectangle
matches with 6 (so: ), it is valid. - The side length that can give the ratio is
therefore it’s correct. - The options 24 and 36 do not maintain the ratio of the rectangles, making them incorrect.
Thus, the correct values for the other side of rectangle B are:
(A) 6 and (B) 9.
(A) 6 and (B) 9.