Question

Two classmates are preparing research papers and are organizing their information on index cards.

Keiko is using 3 in. x 5 in. cards.

William is using 4 in. x 6 in. cards.

A. Set up a proportion to determine if the students are using index cards that are similar. Are they similar?

B. A third student, Joel, is writing his information on paper that measures 12 in. x 8 in.

Is this similar to either Keiko's or William's cards? Show your setup and work to support your answer.

Answer 1

so proprtion
A.
keiko=3:5
will=4:6
make as fractions
3/5 and 4/6
simplify
3/5=3/5
4/6=2/3
3/5 not equal to 2/3, so NOT similar


B. Joel=12:8 conver to fractions
12/8=6/4=3/2
this is similar to 2/3 since the cards can be flipped to be similar
Joel's card is similar to will's card