Parallel or Perp?
Given two equations determine if the lines are parallel or perpendicular:
y=(2/3)x - 4 y=(2/3)x + 1
Parallel
Find the missing side of the right triangle. Round answer to the nearest tenth.
a= 9
b=13
15.8
Is it a triangle?
If so, is it acute, right, or obtuse? Show proof!
11, 21, 23
Acute
because 529 < 121+ 441
Find the midpoint between each pair of points.
(0, 8) and (8, -6)
(4, 1)
Find the distance between each pair of points. Round answer to nearest tenth.
(2, 8) and (-3, 2)
7.8
Given the two sets of ordered pairs, determine if AB and CD are parallel or perpendicular or neither.
AB (0,2) and (5, 4)
CD (1, 8) and (3, 3)
Perpendicular
Find the missing side of the right triangle. Round answer to the nearest tenth.
a= 10
c= 11
4.6
Is it a triangle?
If so, is it acute, right, or obtuse? Show proof!
4, 6, 12
NOT a triangle
because 4 + 6< 12
Find the midpoint between each pair of points.
(-5, -10) and (3, -2)
(-1, -6)
Find the distance between each pair of points. Round answer to nearest tenth.
(1, -3) and (-7,-4)
8.1
Given two equations determine if they are parallel or perpendicular.
3y= 4x + 5 9x +12y= 12
Perpendicular
Find the missing side of the right triangle. Round answer to the nearest tenth.
b= 20
c=27
18.1
Is it a triangle?
If so, is it acute, right, or obtuse? Show proof!
5, 9, 12
Obtuse
because 144 > 25 + 81
Find the midpoint between each pair of points.
(-4, 6) and (-7, 8)
(-5.5, 7)
Find the distance between each pair of points. Round answer to nearest tenth.
(1, 8) and (-6, -1)
11.4
Write an equation passing through the point that is PARALLEL to the given equation.
(-4, -1) y=2x + 4
y= 2x + 7
A 15 foot rope is tied from a section of a tree to a stake in the ground. If the stake is 7 feet from the base on the tree, how high in the tree is the rope tied?
13.3 feet
Is it a triangle?
If so, is it acute, right, or obtuse? Show proof!
6, 14, 15
Acute
because 225 < 36 + 196
Find the midpoint between each pair of points.
(-2, -4) and (5, -9)
(1.5, -6.5)
Find the distance between each pair of points. Round answer to nearest tenth.
(-3, -5) and (-1, -8)
3.6
Write an equation passing through the point that is PERPENDICULAR to the given equation.
(3, -3) y=(3/4)x +5
y=(-4/3)x +1
To wash the windows on his house, Adam places a 17 foot ladder against his house. If the window is 14 feet off the ground, how far from the house does Adam need to place the base to safely climb the ladder to reach the window?
9.6 feet
Is it a triangle?
If so, is it acute, right, or obtuse? Show proof!
12, 16, 20
Right
because 400 = 144 + 256
Find the midpoint between each pair of points.
(3a, 4b) and (5a, -10b)
(4a, -3b)
Find the distance between each pair of points. Round answer to nearest tenth.
(-5, 2) and (-3, -3)
5.4