Question

Are all squares similar ?
Are all rhombi similar ?

Answer 1

My notes has :

•Both parallelograms and rectangles have two pairs of congruent sides. These sides are opposite one another. So, two segments in each figure will be part of the proportion.

•The sides of a rhombus and a square are all congruent. The ratio of any side to another will always be 1:1. Consequently all rhombi are similar to one another and all squares are similar.

Answer 2

i dont understand how all rhombi are similar. some rhombus can have different angles.. they look different

Answer 3

"•The SIDES of a rhombus and a square are all congruent. The ratio of any side to another will always be 1:1. Consequently all rhombi are similar to one another and all squares are similar."

You're right, intuition rules in this case. Reading between the lines will tell you that "all the SIDES of rhombi" are similar."
The figures themselves are not.

Answer 4

in triangle i knw AA similarity all angles must be congruent.. . so it doesnt apply for higher polygons is it ....

i mean angles can be different, but still polygons can be similar ?

Answer 5

all squares and rectangles have same set of angles... they can be called similar... but i just dont get how rhombuses are similar..

Answer 6

For figures to be similar, all corresponding angles must be congruent, AND all corresponding sides must be proportional.
So two rhombi of different angles (unless they are supplementary) are NOT congruent, except that their sides (only) could be.

Answer 7

So two rhombi of different angles (unless they are supplementary) are NOT SIMILAR, except that their sides (only) could be.

Answer 8

oh so only we can say all squares are similar.

rectangles and rhombi can not be generalized... ?

Answer 9

For figures to be similar, all corresponding angles must be congruent, AND all corresponding sides must be proportional.

So two rhombi of different angles (unless they are supplementary) are NOT SIMILAR, except that their sides (only) could be.

(sorry, edited and deleted two previous responses, replaced by this one)

Answer 10

its okay my notes has mistake it seems. its from flvs... and it was never wrong before...

Answer 11

Correct, because their angles are not always congruent for rhombi, and sides are not always congruent for rectangles.

Answer 12

yeah that makes sense.... thank you xD

Answer 13

You're welcome! :)

Answer 14

@mathmate sorry to disturb again.. could you plz confirm ima speak to my teacher about the mistake

below is wrong,

"•The sides of a rhombus and a square are all congruent. The ratio of any side to another will always be 1:1. Consequently all rhombi are similar to one another and all squares are similar. "

could you plz confirm.... .

Answer 15

I would hesitate to say that my teacher's statement is wrong.

To be more precise, I would say "the statement of similarity is valid for squares, but not for rhombi becasue rhombi could have non-congruent angles."

Answer 16

its okay its online material only teacher didnt prepare :) just i want to be prepared before discussing thats all.. thanks :p

Answer 17

Great! :)