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If two rectangles have the same area do they also have to have the same perimeter?
Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.
What is A figure that has two congruent polygons as bases and all other faces are rectangles?
that would be a prism
Which of the following quadrilaterals have diagonals that are congruent to each other A parallelogram B rectangle C rhombus D square?
'B' and 'D'. The diagonals are equal to each other in rectangles and squares.
Are rectangles always similar to each other?
Similar shapes need to have the same number of sides, the same angles and the ratio of the sides needs to be the same. Rectangles are not always similar to each other because they can have different dimensions, which would break the "same ratio" rule.
What pairs of angles are always equal to each other?
Congruent angles. are you cheating on your geometry homework?
If two rectangles have the same area do they also have to have the same perimeter?
Not necessarily. Let's say that there is a circle with the area of 10. Now there is a star with the area of 10. They do not have the same perimeter, do they? That still applies with rectangles. There might be a very long skinny rectangle and a square next to each other with the same area, but that does not mean that they have the same perimeter. Now if the rectangles are congruent then yes.
Is it possible for two rectangles to have the same perimeter and area?
Only if they are congruent. One of them could be the a rotation of the other - eg 4m x 6m and 6m x 4m.
Do congruent shapers always have the same perimeter?
Yes. If two figures are congruent, then you literally can't tell one from the other.Anything that's true of one is also true of the other.
What is A figure that has two congruent polygons as bases and all other faces are rectangles?
that would be a prism
Can rectangles with the same perimeter have different areas?
Yes. Say there are two rectangles, both with perimeter of 20. One of the rectangles is a 2 by 8 rectangle. The area of this rectangle is 2 x 8 which is 16. The other rectangle is a 4 by 6 rectangle. It has an area of 4 x 6 which is 24.
Can two similar octagons sometimes have the same perimeter?
Not normally but yes when they are congruent to each other.
What shape is a cuboid?
It is a three dimensional shape whose faces are rectangles. There are three pairs of congruent parallel rectangles opposite each other. A smooth brick or box are good examples.
Do similar triangles always have congruent angles?
Yes, in similar triangles, the angles are always congruent, and the sides have the same proportions to each other.
Is an isosceles triangle always never or sometimes congruent?
"Congruent" means "same shape and size as the other one". So one thing all by itself is never congruent. It needs something else to be congruent with. An isosceles triangle is never congruent to a scalene triangle, sometimes congruent to any other kind of triangle, and always congruent to another isosceles triangle that's congruent to the first one.
A polyhedron with two parallel congruent bases and all other faces being parallelograms is what?
It is a skew prism. If the parallelograms are rectangles then it is a right prism.
What would the ratio of a two rectangles be if one rectangles width is 24Cm and length 30Cm the other rectangle is width of 36 Cm length of 42 Cm?
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
Are complimentary angles always congruent?
Complimentary angles ARE NOT always congruent. However, if one angle is 45 degrees, then they would be congruent since the other would have to be 45 degrees to add up to 90 degrees.
