Question

look at the shape.
pick all the ways to describe the shape.

• the shape does not have any faces shaped like triangles.
• the shape does not have any curved surfaces.
• the shape has a face shaped like a circle.

Explanation:

Identify the properties of the shape

Using the Cone Properties and Faces of Cones knowledge points

• The given shape is a cone.
• A cone has exactly one flat face, which is shaped like a circle.
• A cone has one curved surface wrapping around to a point (vertex).
• A cone does not have any flat faces shaped like triangles.

Evaluate the given statements

Using the Cone Properties and Faces of Cones knowledge points

• Statement 1: "The shape does not have any faces shaped like triangles." This is true because its only flat face is a circle.
• Statement 2: "The shape does not have any curved surfaces." This is false because a cone has a curved surface.
• Statement 3: "The shape has a face shaped like a circle." This is true because the base of the cone is a circular face.

Answer:

• The shape does not have any faces shaped like triangles. (Correct answer)
• The shape does not have any curved surfaces.
• The shape has a face shaped like a circle. (Correct answer)