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What else can I help you with?
What is a congruant shape?
Congruent shapes are two shapes that are the same (angles, size perimeter/circumference)
Must 2 rectangles be congruent if they have the same perimeter?
No, two rectangles do not have to be congruent if they have the same perimeter. Rectangles can have the same perimeter while differing in their length and width. For example, a rectangle with dimensions 4x6 has the same perimeter (20 units) as a rectangle with dimensions 5x5, but they are not congruent since their shapes and sizes differ.
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 congruent polygons have the same perimeter?
Yes, congruent polygons have the same perimeter. Congruent shapes are identical in size and shape, meaning that all corresponding sides and angles are equal. Therefore, the sum of the lengths of their sides, which defines the perimeter, will also be equal.
Are shapes with the same area always congruent?
No, they might not have congruent angles, etc.
Can shapes with the same area have different perimeter?
yes they can
Are two objects congruent just because they have the same perimeter?
No. The corresponding sides and angles of the two shapes MUST be the same.
Can a shape have the same area but not perimeter?
Most shapes have different perimeter than area, as far as value.
Can two shapes have the same perimeter?
Yes - even shapes with different area.
When are shapes congruent?
Shapes are said to be congruent when they have the same dimensions and same angles
What shapes have the same perimeter but different areas?
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
What do you notice about the area of shapes that have the same perimeter?
That two different shapes may well have the same perimeter, but different areas. As an example, a 3 x 1 rectangle and a 2 x 2 rectangle have the same perimeter, but the area is different.
