warm - up solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

16
Warm - Up Solve the equations: 1. (1/2)x - 7 = 14 2. 2x - 9 = 5x + 15

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A AB or BA M, ABC, CAB or BAC AB or BA AB BA

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Page 1: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

Warm - Up

Solve the equations:

1. (1/2)x - 7 = 14 2. 2x - 9 = 5x + 15

Page 2: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

1.1 Identify Points, Lines, and Planes

There are three types of geometric objects in the picture below. Can you find them?

Page 3: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

A

AB or BA

M, ABC, CAB or BAC

AB or BA

AB

BA

Page 4: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Has no dimension. Represented by a dot.

Page 5: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Has one dimension. Extends without end on both sides.

Page 6: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Two dimensions. Extends without end.Contains 3 or more points.

Page 7: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

These 3 words, point, line and plane, are what we call undefined terms in geometry. They do not have formal definitions but we agree upon what they mean.

UNDEFINED TERMS!!!

Page 8: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Consists of endpoints. Has finite length. We label it by its endpoints.

Page 9: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Starts at a point and stretches out to infinity.

Page 10: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Two rays that share a common endpoint and stretch out into opposite directions.

Page 11: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Points that lie on the same line.

Page 12: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Points that lie in the same plane.

Page 13: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CAN YOU FIND THE VOCABULARY WORD THIS DEFINITION BELONGS TO???

Set of points the figures have in common.

CASE 1: CASE 2: CASE 3:

2 lines intersect @ 1 point A point and line intersect @ 1 point 2 planes intersect @ 1 line

Page 14: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

IDENTIFY

Page 15: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

Give another name for PR.

Name all rays with endpoint Q.

Circle the rays that are opposite rays.

Page 16: Warm - Up Solve the equations: 1. (1/2)x - 7 = 142. 2x - 9 = 5x + 15

CLASSWORK