Question

1. each set of two - dimensional shapes is the complete list of faces from a particular solid. match each set of shapes with the solid they came from.

a. 2 congruent triangles and 3 rectangles 1. right triangular prism
b. 4 triangles and 1 rectangle 2. oblique square prism
c. 2 squares and 4 congruent parallelograms 3. right triangular pyramid
d. 4 congruent, equilateral triangles 4. rectangular pyramid
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Explanation:

• A right - triangular prism has two congruent triangular bases and three rectangular lateral faces. So, 2 congruent triangles and 3 rectangles (A) match with 1. right - triangular prism.
• A rectangular pyramid has a rectangular base and four triangular lateral faces. So, 4 triangles and 1 rectangle (B) match with 4. rectangular pyramid.
• An oblique square prism has two square bases and four congruent parallelogram lateral faces. So, 2 squares and 4 congruent parallelograms (C) match with 2. oblique square prism.
• A right - triangular pyramid (a tetrahedron with equilateral triangles) has four congruent equilateral triangles. So, 4 congruent, equilateral triangles (D) match with 3. right - triangular pyramid.

Answer:

A. 1. right triangular prism
B. 4. rectangular pyramid
C. 2. oblique square prism
D. 3. right triangular pyramid