geometry advice from former students: “if you work hard on your homework, it makes test and...
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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
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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.”
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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.”
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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)