Transformations
What are the Math Vocabulary names of these transformations
Slide, Flip
Translation, Reflection
4x=64
16
Name at least two previous shapes (in the quadrilateral tree) does a quadrilateral have to be in order to become a square?
Excluding "quadrilateral" and "polygon"
Parallelogram, Rhombus, Rectangle
How do we find the slope of a graphed line?
Rise over Run
Vertical change over Horizontal change
Change in Y over Change in X
What is the order of operations?
GEMDAS
Grouping Symbols, Exponents, Multiplication/Division, Addition/Subtraction
What is the name of the transformation that changes the Size of an Original picture
Dilation
7x + 19 = 54
Solve for x
5
Parallelogram ABCD has one pair of opposite angles that total 200 degrees (∠ A + ∠C =200°) What is the angle measurement for ∠ B?
Remember all angles in a quadrilateral total 360° !
80°
360° -200° =160°
160° /2 = 80°
What is the slope of a line going Up?
Positive Slope
What is the goal of solving equations and inequalities and how do we achieve it?
To isolate the variable by using inverse operations
Which are true about the Pre-Image? Choose all that are correct
a) The shape before it is transformed
b) The shape after it is transformed
c) It's what I look like before I get ready in the morning
d) Has coordinates
e) Has prime (') coordinates
6x - 4 = 56
10
A square-shaped garden has an area of 289 square yards. What is the perimeter of the garden?
68 yards
√289= 17 yards
Perimeter = all sides added together, so 17 x 4 = 68
Since it's a square, we know all 4 sides are the same length
What is the of the Slope for a line going down?
Negative slope
When do we have to flip our inequality symbol when solving inequalities?
When we multiply or divide by a negative AND/OR when we rewrite the inequality to get our variable on the left side
The OG ordered pair = (4, 1)
After translating the pre-image left 5 units and down 4 units, what is the new ordered pair?
(-1, -3)
You can solve by changing your coordinates using the info given (4 - 5, 1 - 4)
19x + 15 = -4
solve for x
A rectangular parking spot has a width of 8 feet and a length of 12 feet. What is the area of the parking spot?
96 square feet
What is the slope of a FLAT LINE
________________________________
0 slope
In the equation y=7x-8, what is the slope and what is the y intercept?
m=7
b= -8
A point on the pre-image is on the coordinate plane in Quadrant 1
There is a Reflection over the X-Axis
Which quadrant contains point after the reflection?
Quadrant 4
x = 25 (or x/6 = 25)
6
Solve for x
150
Name all 8 quadrilaterals on our Math 7 quadrilateral tree (including the top shape the other 7 derive from)
Quadrilateral, Parallelogram, Rhombus, Rectangle, Square, Trapezoid, Right Trapezoid, Isosceles Trapezoid
What is the Slope of a Vertical Line the goes Straight UP and DOWN ?
Undefined Slope
Write the inequality this statement represents:
5 less than the product of 1/2 and a number x is no less than -8
1/2x -5 > -8