Five-Minute Check (over Chapter 11)

Then/Now

New Vocabulary

Concept Summary: Polyhedrons

Example 1: Identify Solids

Example 2: Cross Section of a Cone

Example 3: Describe and Draw

Over Chapter 11

A. FG

B. GF

C. OG

D. GO

If ΔFOG ΔHAT, what segment is congruent to TH?

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Over Chapter 11

A. W'(–2, 3), X'(–4, 5), Y'(–5, 1), Z'(–1, 2)

B. W'(2, –3), X'(4, –5), Y'(5, –1), Z'(1, 2)

C. W'(3, 2), X'(5, 4), Y'(–1, –5), Z'(2, 1)

D. W'(3, –2), X'(5, –4), Y'(–1, –5), Z'(–2, –1)

The vertices of figure WXYZ are W(2, 3), X(4, 5), Y(5, 1) and Z(1, –2). What are the coordinates after WXYZ is rotated 90˚ clockwise about the origin?

Over Chapter 11

A. 135

B. 55

C. 45

D. 35

Find the value of x.

Over Chapter 11

A. 323 cm2

B. 332 cm2

C. 644 cm2

D. 646 cm2

What is the area of a triangle with a base of 34 centimeters and a height of 19 centimeters?

Over Chapter 11

A. 75.8 in.

B. 78.5 in.

C. 151.6 in.

D. 157 in.

What is the circumference of a round table with a diameter of 25 inches?

Over Chapter 11

A. 215.1 mm2

B. 169.4 mm2

C. 158.5 mm2

D. 69.7 mm2

Find the area of the figure.

You have already modeled three-dimensional figures. (Lesson 12–1a)

• Identify three-dimensional figures.

• Describe and draw vertical, horizontal, and angled cross sections of three-dimensional figures.

• plane

• solid

• polyhedron

• edge

• vertex

• face

• prism

• base

• pyramid

• cylinder

• cone

• cross section

Identify Solids

Identify the figure. Name the bases, faces, edges, and vertices.

faces: GHJK, LMNP, GHML, HJNM, JKPN, GKPL

Answer: This figure has two parallel congruent bases that are rectangles, GHJK and LMNP, so it is a rectangular prism.

vertices: G, H, J, K, L, M, N, P

edges:

Identify the figure. Name the bases, faces, edges, and vertices. Which listing is not accurate?

A. rectangular pyramid with base: BCDE

B. faces: ABC, ACD, ADE, AEB, BCDE

C.

D. vertices: B, C, D, E

Cross Section of a Cone

Draw and describe the shape resulting from a vertical, angled, and horizontal cross section of a rectangular pyramid.

Answer:

A. circle

B. rectangle

C. parabola

D. triangle

What is the shape of a horizontal cross section through the cylinder below?

Describe and Draw

GIFT BOX A gift box is shown below. Draw the top view and side view. Then draw and describe the shape resulting from a vertical cross section of the figure.

Answer:

A.

B.

C.

D.

Which is the top view of a triangular pyramid?