Warm Up Find the length of the hypotenuse

Warm Up Find the length of the hypotenuse in the right triangle below. (1, 7) (1, 1) (9, 1)

1 – 6 The Coordinate Plane Objective: To find the distance between two points in the coordinate plane.

The Coordinate Plane

Find the length of the hypotenuse in the right triangle below.

The Distance Formula: �

Example 1 Finding Distance A) Find the distance between T(5, 2) and R(-4, -1) to the nearest tenth.

C) Find the distance between R(-2, 6) and S(6, -2) to the nearest tenth.

Example 2 Real-World Connection A)

B) Find the distance between Elm Station & Symphony Station.

C) Maple Station is located 6 miles west and 2 miles north of City Plaza. Find the distance between Cedar Station & Maple Station.

Textbook Page 46; #2 – 16 Even

WARM UP 1) If you have a 92 and 75 test grade, what is your test grade average? 2) Find the missing coordinate for each point below. (- 5, 10) (? , 6) (0, ? ) (? , ? )

1 – 6 Continued … Objective: To find the coordinates of the midpoint of a segment in the coordinate plane.

Finding the Midpoint of a Segment Find the average of the coordinates of the endpoints.

Discovering the Midpoint Formula � S(8, 5) T(4, 3)

Discovering the Midpoint Formula �

Discovering the Midpoint Formula �

The Midpoint Formula: �

Example 3 � Finding the Midpoint

Example 4 Finding an Endpoint �

Homework: 1 – 6 Ditto; 6 – 22 even, 23 – 25