All similar figures are congruent.
A. Always
b. Sometimes
c.Never
D.Only 4 sides
E.Only for parallel.
2006-06-13 12:33:38 · 39 answers · asked by Hamza 1 in Education & Reference ➔ Homework Help
The definition of congruent is: superposable so as to be coincident throughout
So, for example, two squares that are the same size can be superposed (or superimposed) one on top of the other and be coincident throughout.
However, so can two hegagons, pentagons, etc. that are of the same size.
Here's an example:
X and x
These are "Similar Figures" but they are NOT congruent.
So the answer is certainly not A, C, D, and E, since the examples I have given violate those answers in some way.
The answer is "B" Sometimes.
2006-06-13 12:41:34 · answer #1 · answered by Law Professor 3 · 1⤊ 0⤋
A pond is not a lake, a pond or a lake are not a puddle. They are not only similar, they are in almost all respects the same, except for size. Men and women are similar, men are more similar to other men and women to other women. They are not congruent. Mathematically, only figures of the same size and shape are congruent, but any two triangles of different size, or angles are of course similar, they are not congruent. Parallel lines give me a problem - except I think that unless they are the same width (thickness) and length, then they are not congruent. I guess that my answer is "never" except that two exactly like figures - two one inch squares with the same line thickness - could be said to be similar as well as congruent.
2006-06-13 12:51:11 · answer #2 · answered by James B 1 · 0⤊ 0⤋
A. Always.
Similar means that they are proportional to one another, which is to say, they are alike up to their actual measurements. 3/2 is similar to 18/12. The measurements do not equate, as 3 is of course not 18, and neither is 2 the same as 12, but they are proportionally correct. For, you see, 3/2 and 18/12 both equate to ".6667." So, in short, the answer again is "A."
2006-06-13 12:59:07 · answer #3 · answered by ? 3 · 0⤊ 0⤋
B. Sometimes.
Figures are congruent if they have the same shape and the same size. Yet similar figures have the same shape but not necessarily the same size. So at some point similar figure can be congruent but not at all times.
2006-06-13 12:39:17 · answer #4 · answered by Anonymous · 0⤊ 0⤋
B because congruent means in the same shape so similar FIGURES is the same thing as saying shape
2006-06-13 12:37:44 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Sometimes...congruent means that they're all the same size...if the objects are similar, that means that they are the same shape. While the shapes could also (coincidently) be the same size, it's very possible for them to be different sizes.
2006-06-13 12:38:15 · answer #6 · answered by Nikki 4 · 0⤊ 0⤋
Similar and congruent figures both agree always!
2006-06-13 12:56:42 · answer #7 · answered by nnudlrael 1 · 0⤊ 0⤋
B. sometimes
Similar means that the figures have the same dimensions, but they do not have to be the same size.
Congruent means that the figures have the same dimensions AND sizes, meaning they are identical.
2006-06-13 12:37:44 · answer #8 · answered by Anonymous · 0⤊ 0⤋
i think it is c because similar means that one figure is the same shape but not the same size and congruent means that it is the same in everything including size and shape
2006-06-13 12:43:56 · answer #9 · answered by gaby 2 · 0⤊ 0⤋
nothing is ever always, are all the figures similar??
I think sometimes, depending on what the figures are.
2006-06-13 12:36:44 · answer #10 · answered by jenjen78109 2 · 0⤊ 0⤋