Geometry

Advice from former students:

“If you work hard on your homework, it makes test and quizzes much much easier. Slacking is not an option.”

Today: HW Check

1.3 Instruction

Practice

Assignment

Yesterday:1.1 p 20 #36, 37, 42-

50

Policy Signature

Get supplies

Advice from former students:

“If you work hard on your homework, it makes test and quizzes much much easier. Slacking is not an option.”

LESS

ON

1-3 Distance and Midpoints

Content StandardsG.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).Mathematical Practices2 Reason abstractly and quantitatively.7 Look for and make use of structure.

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1-3 Distance and Midpoints

You graphed points on the coordinate plane.

• Find the distance between two points.

• Find the midpoint of a segment.

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1-3 Distance and Midpoints

• distance

• midpoint

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1-3 Distance and Midpoints

1.3 Distance and Midpoint Objective:1. Find the distance between two points.2. Find the midpoint of a segment.

Vocabulary: Distance, midpoint

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1-3 Distance and Midpoints

distance: a part of a line that consists of two endpoints and all the points in between those endpoints – also called a segment.

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1-3 Distance and Midpoints

If P(x1, y1) and Q(x2, y2) are any two points, then the distance between them can be found with the formula .

2 22 1 2 1d= (x -x ) +(y -y )

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1-3 Distance and Midpoints

Find the distance between points A and B.

A(-5, 3)

B(7, 8)

AB=13u5

12

EXAMPLE 2

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1-3 Distance and Midpoints

Find the midpoint M of a segment with endpoints F(4, 12) and G(8, 6).

EXAMPLE 4

M(6, 9)

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1-3 Distance and MidpointsEXAMPLE 4

Answer: (–3, 3)

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1-3 Distance and MidpointsEXAMPLE 5

Find the coordinates of R if N (8, –3) is the midpointof RS and S has coordinates (–1, 5).

Cool Tip #4:

Endpoint (A , B)Midpoint (C , D)Endpoint (? , ?)

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1-3 Distance and Midpoints

Assignment:

• 1.3 p. 30 #6 10, 12, 68, 77-80

• Supply Check Monday

Advice from former students:

“If you work hard on your homework, it makes test and quizzes much much easier. Slacking is not an option.”

LESS

ON

1-3 Distance and Midpoints

A. A, B, Q

B. B, Q, T

C. A, B, T

D. T, A, Q

Name three collinear points.

Over Lesson 1–1

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1-3 Distance and MidpointsEXAMPLE 2

A. 4 u

B. u

C. u

D.

Find the distance between A(–3, 4) and M(1, 2).

2 5

2 3

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1-3 Distance and MidpointsEXAMPLE 4

A. (–10, –6)

B. (–5, –3)

C. (6, 12)

D. (–6, –12)