Angles
they are vertical angles
If there is a line under the inequality sign, is it the open circle or closed circle?
closed circle, the answer is included!
Name three transformations that can happen to a shape?
examples: translations, reflections, dilations, rotations
12x=72
x=6
Simplify
11(3-8x)
33-88x
if two angles are on the same side to each other what do they equal?
solve
x-3>12
x>15
If you were given the rule
(x,y) changes to (x+4,y-1) what does this do to the shape?
hint : think right, left, up, down
it goes right 4 and down 1
x-3x=28
-2x=28
x=-14
Simplify
5(x+1)+7
5x+5+7
5x+12
If two angles sit on a line together, what do they equal?
they add up to equal 180
5n+10<20
n<2
When given a dilation what happens to the shape?
Bonus (100): Does this mean the shape is congruent?
it can get enlarged or shrunken/ bigger or smaller
Bonus(100) : NO! they are now two different sizes
n-13=-37
n=-24
Simplify
4x-10+7x-1
11x-11
you have angles 34 and angle 3x+5. they are supplementary, what does x equal?
34+3x+5=180
3x+39=180
3x=141
x=47
2x+6+9x<72
x<6
Given the points can you apply this rule (x+2,y-4)
(-5,4)
(3,0)
(4,4)
(-5,4) turns into (-3,0)
(3,0) turns into (5,-4)
(4,4) turns into (6,0)
Solve
x+4x-3=22
x=5
Find the midpoint
(8,-8) , (-5,10)
8+-5=3/2
-8+10=2/2=1
(3/2,1)
you are given that one angle is 9x-5 and another angle is 7x+3. They are vertical angles, what is x?
Bonus points (100) What does the ANGLE equal?
9x-5=7x+3
2x-5=3
2x=8
x=4
the angle is 31!
-2x+45-23<-46
x>34
Given the points and their new points, what is the rule
(-3,3) turns into (-2,1)
(-1,5) turns into (0,3)
(0,4) turns into (1,2)
(x+1,y-2),
one to the right, down two
n/10+4=-9
n=-130
Find the midpoint
(-1,0) , (0,5)
-1+0=-1/2=-1/2
0+5=5/2=5/2
(-1/2,5/2)
or (-0.5, 2.5)