Transcript Slide 1

Warm Up
1. Graph A (–2, 3) and B (1, 0).
2. Find CD. 8
3. Find the coordinate of the midpoint of CD.
4. Simplify.
4
–2
Coordinate Plane: Plane that is divided into four regions by a
horizontal line ( x - axis ) and a vertical line
( y - axis )
Example 1
Find the coordinates of the midpoint
of EF with endpoints E(–2, 3) and
F(5, –3).
Example 2 S is the midpoint of RT. R has
coordinates (–6, –1), and S has
coordinates (–1, 1). Find the
coordinates of T.
Step 1 Let the coordinates of T equal (x, y).
Step 2 Use the Midpoint Formula:
Step 3 Find the x-coordinate.
2 = –1 + y
–2 = –6 + x
3=y
4=x
The coordinates of T are (4, 3).
Example 3 Find EF and GH. Then determine if EF  GH.
E(–2, 1), F(–5, 5), G(–1, –2), H(3, 1)
Legs: Two sides of rt. Δ that form rt 
Hypotenuse: Side opposite of rt , longest of all sides, usually C
Example 4
Use the Distance Formula and the
Pythagorean Theorem to find the distance,
to the nearest tenth, from R to S.
R(3, 2) and S(–3, –1)
a = 6 and b = 3.
c2 = a2 + b2 = 62 + 32 = 45
Example 5 A player throws the ball from first base to a
point located between third base and home
plate and 10 feet from third base.
What is the distance of the throw, to the
nearest tenth?
The target point P of the throw has coordinates (0, 80). The distance
of the throw is FP.
P
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