1. which solid has one base that is a rectangle and four that are triangles?
a. Triangular pyramid**
b. cone
c. rectangular prism
d. rectangular pyramid
2 A solid with two parallel lines congruent bases cannot be which of the following?
A. cylinder**
B. cube
c. prism
d. pyramid
1. disagree
2. yes
1. The solid that has one base that is a rectangle and four that are triangles is a Rectangular Pyramid.
2. A solid with two parallel lines congruent bases cannot be a Cylinder.
1. To determine which solid has one base that is a rectangle and four that are triangles, we can visualize the characteristics of each option. Let's analyze the options:
a. Triangular pyramid - This solid has a triangle as its base, not a rectangle.
b. Cone - This solid has a circular base, not a rectangle.
c. Rectangular prism - This solid has two rectangular bases, not one.
d. Rectangular pyramid - This solid has a rectangle as its base and four triangular faces, matching the given description.
Therefore, the correct answer is d. Rectangular pyramid.
2. To find the solid that cannot have two parallel lines congruent bases, we'll need to evaluate each option:
A. Cylinder - A cylinder has two congruent circular bases, which could be parallel.
B. Cube - A cube has six congruent square faces, none of which could be parallel lines.
C. Prism - A prism can have any polygon as its bases, including parallel lines congruent bases.
D. Pyramid - A pyramid usually has a polygonal base, but for most cases, the triangular faces will not have parallel bases.
Based on this analysis, the option that does not satisfy the given condition is B. Cube. A cube cannot have two parallel lines congruent bases, as all its faces are square and not parallel lines.
So, the correct answer is B. cube.