Question

1. practice: organizing information

fill in the blanks to define a prism and its parts.
a prism is a ____ made of two ____ congruent polygons and all the points between them.
bases: the two ______ congruent faces (like a top and bottom)
lateral faces: all rectangles that are not ______ (like sides)
altitude: the line segment whose length is the ______ of a prism

1. practice: using visual cues

a prism is named for its bases. identify the polygon bases. then name the prism.
bases: ______
prism: ______

1. practice: making mental images and drawing inferences

fill in the blanks.
compare a line segment and prism
line segment: two points and all the ______ between them
prism: two bases and all the ______ between them

1. practice: making mental images and drawing inferences

think about the shape of prisms to answer the questions.

1. why can any two opposite faces of a rectangular prism be called the bases?

Explanation:

A prism is a three - dimensional solid. Its bases are parallel and congruent polygons. Lateral faces are rectangles (in right prisms) that connect the bases, and the altitude is the perpendicular distance between the bases. For naming a prism, we look at the shape of its bases. A line segment consists of two points and all points on the line between them, while a prism has two bases and all points in the space between them. In a rectangular prism, any two opposite faces can be called bases because they are parallel and congruent.

Answer:

1. A prism is a three - dimensional solid made of two parallel congruent polygons and all the points between them.

• bases: the two parallel congruent faces (like a top and bottom)
• lateral faces: all rectangles that are not bases (like sides)
• altitude: the line segment whose length is the perpendicular distance of a prism

1. (Left prism) bases: triangles; prism: triangular prism

(Right prism) bases: rectangles; prism: rectangular prism

1. Line segment: two points and all the points on the line between them

Prism: two bases and all the points in the space between them

1. 1. Any two opposite faces of a rectangular prism can be called the bases because they are parallel and congruent.