Homework Practice

Printable assignment

Exploring Some Geometric Themes: Practice 4

Section A: Core Practice

Question 1mcq

Can a convex polyhedron have

6

faces,

8

vertices, and

12

edges?

A.Cannot be checked using a formula.

B.Yes, because all three numbers are positive.

C.Yes, it satisfies Euler's formula.

D.No, because faces must equal edges.

Question 2mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Ignore turns and count only shapes.

B.Use a random line through the figure.

C.Break the path into simpler straight parts and track direction changes.

D.Estimate by looking only at the endpoint.

Question 3mcq

How many faces, edges, and vertices does a triangular prism have?

8

faces,

6

edges,

12

vertices

4

faces,

4

edges,

4

vertices

5

faces,

9

edges,

6

vertices

6

faces,

9

edges,

5

vertices

Question 4mcq

How many faces, edges, and vertices does a square pyramid have?

5

faces,

8

edges,

5

vertices

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

4

faces,

4

edges,

4

vertices

Question 5mcq

Which statement about a valid net of a cube is correct?

A.Its squares may overlap after folding.

B.It must include circles for the corners.

C.It can have any five squares.

D.A cube net must have six connected squares arranged so they fold without overlap.

Question 6mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.Top, front, and side views can be different for the same solid.

B.Only the front view matters.

C.All three views must always be identical.

D.A 3D object cannot have 2D views.

Section B: Reasoning and Application

Question 7mcq

A block model is viewed from the top, front, and side. Which statement is true?

A.All three views must always be identical.

B.A 3D object cannot have 2D views.

C.Top, front, and side views can be different for the same solid.

D.Only the front view matters.

Question 8mcq

Which is Euler's formula for a convex polyhedron?

F+E=V+2

F+V=E+2

F+V=E

E+V=F+2

Question 9mcq

Can a convex polyhedron have

6

faces,

8

vertices, and

12

edges?

A.Yes, it satisfies Euler's formula.

B.Cannot be checked using a formula.

C.No, because faces must equal edges.

D.Yes, because all three numbers are positive.

Question 10mcq

A geometric path has several turns on a grid. What is the best way to describe it accurately?

A.Use a random line through the figure.

B.Ignore turns and count only shapes.

C.Break the path into simpler straight parts and track direction changes.

D.Estimate by looking only at the endpoint.

Question 11mcq

How many faces, edges, and vertices does a triangular prism have?

4

faces,

4

edges,

4

vertices

8

faces,

6

edges,

12

vertices

5

faces,

9

edges,

6

vertices

6

faces,

9

edges,

5

vertices

Question 12mcq

How many faces, edges, and vertices does a square pyramid have?

4

faces,

4

edges,

4

vertices

8

faces,

6

edges,

12

vertices

5

faces,

8

edges,

5

vertices

5

faces,

8

edges,

5

vertices