Geometry: 1-1 (Day 1)

Points, Lines and Planes

Use your book to define the following Undefined Terms:

The Undefined Terms are: Point: Named by: Examples:

Line: Named by: Examples:

Plane: Named by: Examples:

Collinear:

Noncollinear:

Coplanar: Noncoplanar:

Exercises 1. Label the point, line and plane.

Refer to the figure. 2. Name the intersection of plane N and line AE. 3. Name the intersection of BC and DC. 4. Does DC intersect AE? Explain.

Refer to the figure. 5. Name the three line segments that intersect at point A. 6. Name the line of intersection of planes GAB and FEH. 7. Do planes GFE and HBC intersect? Explain. 8. Are G, D and B coplanar? 9. Are F, H, and A coplanar? 10. Are F, H and B coplanar?

Geometry: 1-1 (Day 2)

Points, Lines and Planes

1. Are G, D and B coplanar? 2. Are F, H, and A coplanar? 3. Are F, H and B coplanar?

Describe what you see in as many ways as you can. 1.

2.

3. Plane N contains line b.

4. Planes R and S intersect in line MN.

5. A, B, and C do not intersect.

Geometry: 1-2

Linear Measure

Review questions from 1-1

What is the difference between a line and a line segment?

Define congruent:

What is the congruent symbol?

How are congruent segments labeled in a figure? What did you learn in the computer lab about segments and their parts?

Segment Addition Postulate

Exercises

1. Find the value of x and KL if K is between J and L. JK = 2x, KL = x + 2, and JL = 5x – 10

2. Find the value of x and YZ if Y is between X and Z. XY = 2x + 1, YZ = 6x, and XZ = 81

3. Find the value of x and JL if K is between J and L. JK=x2 – 21x, KL=2x , and JL= 60.

Geometry: 1-3

Distance and Midpoint

Review questions from 1-2

Use the number line to find the distance of AB

Use the coordinate plane to find the distance of KL K (-2, 10), L(-4, 3)

How can this be done without a coordinate plane?

Without a coordinate plane find the distance of EF E(-12, 2), F(-9, 6)

Define Midpoint:

Use the number line to find the coordinate of the midpoint of each segment. CE

Find the coordinates of the midpoint of EF where E (-2, 6), F (-9, 3)

Find the coordinates of the missing endpoint if E is the midpoint of DF where D(-3, -8), E(1, -2)

Geometry: 1-4 (day 1) Angle Measure Review questions from 1-3

Use your book Define Ray:

How is a ray named? Give an example

Define Opposite Ray:

Draw a picture of opposite rays and name the two rays.

Define angle: Draw an angle and then identify it’s parts.

Angles are measure in units called ______________ Name the ways to classify the angles, define them and draw a picture.

Exercises Refer to the figure at the right. 1. Name the vertex of ∠4. 2. Name the sides of ∠BDC. 3. Write another name for ∠DBC.

Geometry: 1-4 (day 2) Angle Measure Computer Lab What did you learn in the computer lab about two angles that are adjacent to each other?

What did you learn in the computer lab about an angle bisector?

Angle Addition Postulate:

Angle Bisector:

Congruent angles:

Exercises 1. In the figure BA and BC are opposite rays. BF bisects ∠CBE. If m∠EBF = 6x + 4 and m∠CBF = 7x - 2, find m∠EBF.

2. In the figure BA and BC are opposite rays. BF bisects ∠CBE. Let m∠1 = m∠2. If m∠ABE = 100 and m∠ABD = 2(r + 5), find r and m∠DBE

Geometry: 1-5 (day 1) Angle Relationship Review questions from 1-4

Complete the following Chart Special Angle Pairs Adjacent Angles Definition

Example

Nonexample

Linear Pair Definition

Example

Nonexample

Vertical Angles Definition

Example

Nonexample

Define Complementary angles and draw examples

Define Supplementary angles and draw 2 different examples

What is the difference between linear pair angles and supplementary angles?

Define Perpendicular lines

What is the symbol that represents perpendicular? Draw two lines that are perpendicular. What would you do to the picture to communicate to others that the lines are perpendicular?

Excercises Name an angle or angle pair that satisfies each condition. 1. two adjacent angles 2. two acute vertical angles 3. two supplementary adjacent angles 4. an angle supplementary to ∠RTS For Exercises 5–7, use the figure at the right. 5. Identify two obtuse vertical angles. 6. Identify two acute adjacent angles. 7. Identify an angle supplementary to ∠TNU.

Go to Computer Lab for sketch.

Geometry: 1-5 (day 2) Angle Relationship What did you learn about vertical angles in the computer lab?

Exercises 1. Find the value of y, m∠RPT, and m∠TPW

2. Find the value of x and m∠CBA

3. Find the value of x, then determine if AB

CD

Geometry: 1-6 Two-Dimensional Figures Review questions from 1-5

Define Polygon. Draw one and label the parts.

What is the difference between a concaved polygon and a convex polygon?

Polygons can be classified by the sides. Complete the chart Number of sides 3 4 5 6 7 8

Polygon Name

Number of sides Polygon Name 9 10 11 12 13 14

9 Define Equilateral Polygon and draw one.

Define Regular Polygon and draw one.

A regular polygon with 3 sides is called_____________________ A regular polygon with four sides is called____________________. Exercises Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.

Find the perimeter and area of the following.

Graph the following then find the perimeter and area.

Geometry: 1-7 Three-Dimensional Figures Review questions from 1-6

Define Polyhedron

What is a face of a polyhedron?

What is an edge of a polyhedron?

Write the name of each shape below it and determine if it is a polyhedron

Exercises Determine whether each solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the faces, edges, and vertices. Name the base

1.

2.

Surface area and Volume Prism:

Surface area

Volum

Pyramid

Surface area

Volume

Cylinder

Surface area

Volume