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No, it is not always true that two prisms with congruent bases are similar. For two prisms to be similar, their corresponding dimensions must be in proportion, not just their bases. While congruent bases indicate that the shapes of the bases are the same, the heights or scaling of the prisms can differ, affecting their similarity. Thus, two prisms can have congruent bases but still not be similar if their heights or other dimensions differ.

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3mo ago

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Related Questions

How are cones and cylinders similar to pyramids and prisms?

cones are similar to pyramids because they come to a point, also known as the vertex. Cones and pyramids are also conic. Cylinders are similar to prisms because their base, no matter what shape, will translate (slide) all the way up the middle to the top. Basically, their 2 bases should always always always be congruent. Prisms and cylinders are also cylindric.


Which figures have congruent bases?

Prisms, regular polyhedra.


What had two congruent bases?

A shape with two congruent bases is a prism. In a prism, the two bases are parallel and identical in shape and size, while the sides, or lateral faces, connect these bases. Common examples of prisms include rectangular prisms and triangular prisms. These congruent bases allow for the calculation of the prism's volume using the area of the base multiplied by the height.


What shapes have at least two congruent parallel bases?

Prisms.


What objects have two parallelcongurent bases?

Prisms have two parallel and congruent bases. These bases are connected by rectangular or parallelogram-shaped sides, creating a three-dimensional shape. Examples of prisms include rectangular prisms, triangular prisms, and hexagonal prisms.


Do right prisms have six congruent faces?

No. Their "bases" are at right angles to the rectangles connecting the bases.


What is A solid figure that has 2 congruent polygons as bases and lateral faces that are rectangle?

A solid figure that has two congruent polygons as bases and lateral faces that are rectangles is called a prism. The two bases are parallel and identical, while the lateral faces connect corresponding sides of the bases and are rectangular in shape. Prisms can be categorized based on the shape of their bases, such as triangular prisms or rectangular prisms.


Do all prisms have congruent bases?

Yes providing the cross section remains the same


What solid figure has 2 parallel bases that are congruent such as rectangle and hexagon?

Prisms.Prisms.Prisms.Prisms.


Are two prisms with equal bases always similar?

No. They may have a different height, or slant up at a different angles.


How are the bases of a cylinder and a prism similar?

The cylinder and the prisms bases are similar because its a flat surface.


What solid figure with two congruent polygons that are bases connected with lateral faces that are rectangles?

They are prisms.