Homework Practice

Printable assignment

Exploring Some Geometric Themes: Practice 2

Section A: Core Practice

Question 1mcq

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

A.It can have any five squares.

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

C.It must include circles for the corners.

D.Its squares may overlap after folding.

Question 2mcq

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

A.Only the front view matters.

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

C.All three views must always be identical.

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

Question 3mcq

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.All three views must always be identical.

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

D.Only the front view matters.

Question 4mcq

Which is Euler's formula for a convex polyhedron?

F+V=E+2

F+V=E

F+E=V+2

E+V=F+2

Question 5mcq

Can a convex polyhedron have

6

faces,

8

vertices, and

12

edges?

A.Yes, because all three numbers are positive.

B.No, because faces must equal edges.

C.Cannot be checked using a formula.

D.Yes, it satisfies Euler's formula.

Question 6mcq

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

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

B.Use a random line through the figure.

C.Ignore turns and count only shapes.

D.Estimate by looking only at the endpoint.

Section B: Reasoning and Application

Question 7mcq

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

8

faces,

6

edges,

12

vertices

6

faces,

9

edges,

5

vertices

4

faces,

4

edges,

4

vertices

5

faces,

9

edges,

6

vertices

Question 8mcq

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

4

faces,

4

edges,

4

vertices

5

faces,

8

edges,

5

vertices

8

faces,

6

edges,

12

vertices

5

faces,

8

edges,

5

vertices

Question 9mcq

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

A.It can have any five squares.

B.It must include circles for the corners.

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

D.Its squares may overlap after folding.

Question 10mcq

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.All three views must always be identical.

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

D.Only the front view matters.

Question 11mcq

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

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

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

C.Only the front view matters.

D.All three views must always be identical.

Question 12mcq

Which is Euler's formula for a convex polyhedron?

F+V=E+2

F+E=V+2

E+V=F+2

F+V=E