1 6 Midpoint and distance in the coordinate

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1 -6 Midpoint and distance in the coordinate plane

1 -6 Midpoint and distance in the coordinate plane

� Students will be able to : � Develop and apply the formula for

� Students will be able to : � Develop and apply the formula for midpoint. � Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

� What is the midpoint ? � Answer: It is the middle section of

� What is the midpoint ? � Answer: It is the middle section of a line. Is what divides a line in 2 congruent sections. � How can you find the midpoint of a line? � You can find the midpoint of a segment by using the coordinates of its endpoints. � Calculate the average of the x-coordinates and the average of the y-coordinates of the endpoints.

� Do problems 2 and 3 from page 47 from book

� Do problems 2 and 3 from page 47 from book

� Lets do problems 1 and 2 from worksheet

� Lets do problems 1 and 2 from worksheet

� Lets do problems 3 to 5 from worksheet

� Lets do problems 3 to 5 from worksheet

�M is the midpoint of XY. X has coordinates (2, 7) and M has

�M is the midpoint of XY. X has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of Y. � Solution:

� Lets do problems 4 to 5 from book page 47 � Worksheet problems

� Lets do problems 4 to 5 from book page 47 � Worksheet problems 21 -23

� What �. is the distance formula? The Distance Formula is used to calculate

� What �. is the distance formula? The Distance Formula is used to calculate the distance between two points in a coordinate plane.

� Lets do distance formula worksheet

� Lets do distance formula worksheet

� What is the Pythagorean theorem? � Answer: Is theorem we used in right

� What is the Pythagorean theorem? � Answer: Is theorem we used in right triangles to figure out a side of the triangle. � You can also used it to find the distance between two points in the coordinate plane. � In a right triangle, the two sides that form the right angle are the legs. The side across from the right angle that stretches from one leg to the other is the hypotenuse. In the diagram, a and b are the lengths of the shorter sides, or legs, of the right triangle. The longest side is called the hypotenuse and has length c.

� Use the Distance Formula and the Pythagorean Theorem to find the distance, to

� 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)

� Method 1 � Use the Distance Formula. Substitute the values for the coordinates

� Method 1 � Use the Distance Formula. Substitute the values for the coordinates of R and S into the Distance Formula.

� Method 2 � Use the Pythagorean Theorem. Count the units for sides a

� Method 2 � Use the Pythagorean Theorem. Count the units for sides a and b.

� DO problems 1 -2 in worksheet

� DO problems 1 -2 in worksheet

� Let students do Pythagorean workshweet

� Let students do Pythagorean workshweet

�A player throws the ball from first base to a point located between third

�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?

� DO problems 8 -15 in the book page 47

� DO problems 8 -15 in the book page 47

� Today we saw the midpoint formula, the distance formula and the Pythagorean Theorem.

� Today we saw the midpoint formula, the distance formula and the Pythagorean Theorem.

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1 6 Midpoint and Distance in the Coordinate1 6 Midpoint and Distance in the Coordinate
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1 6 Midpoint and Distance in the Coordinate1 6 Midpoint and Distance in the Coordinate
1 6 Midpoint and Distance in the Coordinate1 6 Midpoint and Distance in the Coordinate