Transcript 1 – 6 The Coordinate Plane

Find the length of the hypotenuse in the right triangle below.
(1, 7)
(1, 1)
(9, 1)
Objective: To find the distance between two
points in the coordinate plane.
Find the length of the hypotenuse in the right triangle below.
(𝑥2 , 𝑦2 )
(𝑥2 , 𝑦1 )
(𝑥1 , 𝑦1 )
𝑑=
(𝑥2 − 𝑥1 )2 +(𝑦2 − 𝑦1 )2
A) Find the distance between T(5, 2) and R(-4, -1)
to the nearest tenth.
B) 𝐴𝐵 had endpoints A(1, -3) and B(-4, 4). Find
AB to the nearest tenth.
C) Find the distance between R(-2, 6) and
S(6, -2) to the nearest tenth.
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.
1)
2)
If you have a 92 and 75 test grade, what is your
test grade average?
Find the missing coordinate for each point
below.
(- 5, 10)
(?, 6)
(0, ?)
(?, ?)
Objective: To find the coordinates of the
midpoint of a segment in the coordinate plane.
Find the average of the coordinates of the
endpoints.
𝑎+𝑏
2
Find the midpoint of 𝑇𝑆.
S(8, 5)
T(4, 3)
Find the midpoint of 𝑇𝑆.
Find the midpoint of 𝑇𝑆.
𝑥1 + 𝑥2 𝑦1 + 𝑦2
𝑀
,
2
2
A) 𝑄𝑆 has endpoints Q(3,5) and S(7, -9).
Find the coordinates of its midpoint M.
B) Find the coordinate of 𝑋𝑌 with endpoints
X(2,-5) and Y(6, 13).
A) The midpoint of 𝐴𝐵 is M(3,4). One
endpoint is A(-3, -2). Find the coordinates of
the other endpoint B.
B) The midpoint of 𝑋𝑌 has coordinates (4, - 6).
X has coordinates (2, -3). Find the coordinates of
Y.
1 – 6 Ditto; 6 – 22 even, 23 – 25