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unit 8 lesson 1.notebook
1
May 05, 2015
May 49:42 AM
Warm Up
Write 3 4 sentences about what you know about Geometry.
May 49:43 AM
Three undefined terms:
1. Point:
2. Line
3. Plane
May 49:45 AM
Other terms:
* segment:
* Ray
May 49:45 AM
Angles:
Def: Angle:
Parts of an angle:
Naming an angle:
May 49:46 AM
EX 1: Name each angle in two other ways if possible.
a. < 3
b. <KVL
c. <LVJ
EX 2. Name each angle in two other ways.
d. <3
e. <YXU
f. <WXZ
May 49:49 AM
Measuring Angles
Notation:
Types of Angles:
Right:
Acute:
Obtuse:
Supplementary Angles:
Complementary Angles:
unit 8 lesson 1.notebook
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May 05, 2015
May 49:50 AM
Angle Formations:
1. Vertical Angles:
2. Linear Pair:
3. Perpendicular Lines:
May 49:51 AM
Ex: Name the relationship: complementary, linear pair or vertical
May 49:52 AM
Find the requested angles given that:
m<DEB = 400
m<FAC = 240
AB CA
a. m<EAF
b. m<AEF
May 49:53 AM
3D Shapes
May 49:54 AM
Cross Sections of Solids
The picture above shows the cross‐section created when a knife slices an apple. A cross‐section of a solid is formed when a plane passes through the solid. Below are some examples of cross‐sections that can be used in various applications to explain the internal components of real‐world solids.
May 49:56 AM
We will examine cross‐sections of geometric solids. Notice the 2 cross‐sections formed using a cylinder below. 1. If the plane is parallel to the bases, the cross‐section is a circle. 2. If the plane passes through the cylinder vertically as shown, the cross‐section is a rectangle.
Source: http://images.tutorvista.com/cms/images/67/cylinder‐cross‐section.png
unit 8 lesson 1.notebook
3
May 05, 2015
May 410:01 AM
1. Triangular Prism2. Plane passes through the interior vertically parallel to the triangular base
3. Plane passes through the interior horizontally
Determine the shape of the cross section for each of the figures below under the given condition. Be as specific as possible
Square Prism (not a cube and not sitting on the square base … See it pictured here)
1. Plane passes vertically through the center of the interior of the prism so that it is
parallel to the square base
2. b. Plane passes vertically through the center of the interior of the prism so that it is
not parallel to the base
3. c. Plane passes horizontally through the center of the interior of the prism
May 410:03 AM
Square Pyramid
1. Plane passes horizontally through the pyramid
2. Plane passes vertically through the pyramid so that it passes through the center
3. Plane passes diagonally through the pyramid so that it is parallel to one of the sides
Created by Sandra Hunt ([email protected])
Cylinder
1. Plane passes horizontally through the cylinder
2. Plane passes diagonally through the cylinder (angled slightly from horizontal)
May 410:06 AM
Sphere
1. Plane passes horizontally through the center
2. Plane passes horizontally through the sphere, but not through the center
3. Plane passes vertically through the center
4. Plane passes vertically through the sphere, but not through the center
5. Plane passes diagonally through the sphere
1. Which of the cross‐sections in #5 above are guaranteed to be congruent?
May 410:07 AM
From Core‐Plus Mathematics Course I: p. 484 (Unit 7)
(Additional problems can be found at http://www.glencoe.com/sites/pdfs/impact_math/ls1_c2_cross_sections.pdf)
May 410:14 AM