Name: __________________________________________ Date: _____________________ Period: ________ Geo w/ Trig H.

An Introduction to Unit 10

Part A: Basic Area Formulas (Sections 11.1-11.3)

1. Write the formula for the area of the figure.Parallelogram/Rectangle: Rhombus: Kite:

Triangle: Triangle (using Trig): Equilateral Triangle:

Trapezoid: Circle: Square:

Part B: Three-Dimensional Figures (Section 1.7)Use pages 67-69.

2. Define the following vocabulary terms.

a. Polyhedron: ________________________________________________________________________

b. Regular Polyhedron: _________________________________________________________________

3. Fill in the diagram below with the appropriate vocabulary word.

4. Determine how many faces, edges, and vertices there are in the solid above.

faces = __________ edges = __________ vertices = __________

5. Fill in the blanks.

Polyhedrons:

A prism has two _____________ _____________ faces called _____________ (which are connected by parallelogram faces).

A pyramid has a polygonal _________ and 3 or more __________________ __________ that meet at a common ________.

Not Polyhedrons:

A cylinder has ________________ ________________ ________________ bases connected by a _______________ surface.

A cone has a __________________ base connected by a curved surface to a single ______________.

A sphere is a set of ____________ in ____________ that are equidistant from a given _____________.

6. How are polyhedrons named? ___________________________________________ (See bottom of pg 67.)

7. Darken the base of each figure below. Then write the most descriptive name.

a. b. c. d.

e. f. g. h.

i. j. k. l.

Part C: Representations of Three-Dimensional Figures (Section 12.1)

8. Use page 840 to define the cross-section of a figure.

Cross section: __________________________________________________________________________

9. Complete #16-19 on page 842.16. 17. 18. 19.

Part D: Forming Solids (Geometry Labs pg 647 and pgs 837-838)

10. Read page 647 to complete the following problems. Do not make sketches, just name the solid.

1. 2. 3.

11. Read page 837-838 to complete the following problems. Do not make sketches, just name the solid.

3. 4. 5.

7. 8.

Part E: Surface Areas of Solids (Sections 12.2 and 12.3)Use pages 846-849 and pages 854-858.

12. Use the diagram to the right to answer the following questions.

a. Triangle CAT is a __________ of the prism.

b. The height of CAT is segment ________.

c. The height of the prism is the length of segment __________, which is also called an _____________.

d. Segment OA,GT ,and DC are the __________ edges.

e. Segment CA, AT ,CT , DO,OG,and DG are the __________ edges.

13. Label the figure below with the appropriate vocabulary terms. Then, use the figure to fill in the blanks.

a.

b. Since the cylinder is right, the axis is also called the ________.

Right Cylinder

H

G

O

D

T

A

C

14. Define the following vocabulary terms.

a. Lateral Area (page 846): _______________________________________________________________

_______________________________________________________________

b. Surface Area (page 847): _______________________________________________________________

_______________________________________________________________

c. Composite solid (page 852): ____________________________________________________________

15. Label the figures below with the appropriate vocabulary terms.

a. b.

16. What makes a pyramid a regular pyramid?

Name: __________________________________________ Date: _____________________ Period: ________ Geo w/ Trig H.

Unit 10 Exit Card [10 pts.]

Tell whether the solid is a polyhedron. Then, give the most specific name for the figure. [2 pts.]

1. 2.

Circle all the possible cross sections that a cube can have. [2 pts.]

3.

Consider a regular pyramid. [3 pts.]

4. Which of the following statements are true? Circle the letter of each true statement. Do not put any markings by the false statements.

A. The base is a regular polygon.

B. The height of the pyramid is the height of the triangles.

C. The slant height is the length of a lateral edge.

D. The altitude of the pyramid intersects the base at its center.

E. The lateral faces are equilateral triangles.

F. The lateral edges are congruent.

Use complete sentences. [1 pt each.]

5. Explain the difference between lateral area and surface area.

6. Explain how to identify the bases of a prism.

7. Consider the composite figure to the right. Explain why the surface area of the figure is not equal to the sum of the surface area of the cone and the surface area of the cylinder.

Yes or No? ___________

Most specific name:

__________________________

Yes or No? ___________

Most specific name:

__________________________

triangle circle trapezoid square