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If 2 squares have the same side lengths are the 2 squares necessarily congruent?
Yes.
Can 2 different size squares have the same perimeter?
no
Are 2 squares always congruent?
No. Most squares probably are not congruent. Although they are similar.
What is the perimeter of a parallelogram with sides of 2 and 3?
Since the opposite sides are congruent: perimeter = 2(2) + 2(3) = 10
Can a square with aside of 2cm be congruent to a square with a perimeter of 8cm?
Yes because 2+2+2+2 = 8 cm
If 2 squares have the same side lengths are the 2 squares necessarily congruent?
Yes.
Can 2 different size squares have the same perimeter?
no
Are 2 squares always congruent?
No. Most squares probably are not congruent. Although they are similar.
What 2 shapes have congruent sides?
Squares and Rhombuses
What is the perimeter of a parallelogram with sides of 2 and 3?
Since the opposite sides are congruent: perimeter = 2(2) + 2(3) = 10
Which quadrilateral has 4 congruent angeles and 2 pairs of congruent sides?
Every rectangle has. (That includes squares.)
Can you draw 2 squares of different sizes so that each has a perimeter of 16 inches explain?
No, because even through they have the same perimeter you must show how you can get 16 as the perimeter in two different ways.
Is it possible for a shape to have the same area but different perimeter?
Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.
Do 2 different sized squares be conqruent?
Yes, every square is congruent
Is all squares can be cut in half to make 2 congruent triangles a generalization?
no its an emphatic statement all squares can be cut in half to make 2 congruent isosceles right triangles is perhaps as general a statement as is possible
Can 2 circles be congruent?
2 circles can be congruent. The have to have the same radius.
What is the largest perimeter obtainable from 9 squares 2cm x 2cm?
The easiest way to reason this is to consider how you could connect nine squares together while leaving the largest amount of perimeter exposed. In other words, what's the largest number of faces you can leave exposed on a set of squares that are all connected? The answer is that if you connect all of the squares in a line, then the two end squares will have three faces exposed and the other seven squares will have two faces exposed. That gives you 2 * 7 * 2cm + 3 * 2 * 2cm = 28cm + 12cm = 40cm. So the maximum perimeter you can get is 40cm. There are many other ways that you can arrange the squares to give you the same perimeter (eg. a plus sign, a zig-zag, and so on), but none that will give you more.
