Figures with the same size and shape
Congruent shapes
3x(9x2 − 4x - 15)
27x3- 12x2 - 45x
(3 x 9 = 27,3 x 4 = 12 15 x 3 = 45)
(x x x2 = x3 , x times x is x2, x times a number is Nx)
Which shape ISN'T a quadrilateral?
A( Rectangle
B( Triangle
C( Square
D( Trapezoid
B) Triangle
Triangles have 3 sides,while quadrilaterals have 4.
If I translate point Q (6,7) 5 units up and 3 units right, where will point Q' be?
(9,12)
(3+6=9,7+5=12)
X is at (3,4),Y is at (9,8),and Z is at (4,2)
X' is at (9,12),Y' is at (27,32),and Z is at (12,6)
Are XYZ and X'Y'Z' similar?
No
Everything else is multiplied by 3, while 8 is multiplied by 4.
Angles on the opposite sides on a cross
Vertical angles
What is secondary name of this polynomial?
X2 + 9x - 4x + 8
Polynomial
4 separate terms = polynomial.
Which quadrilateral has four right angles,and 2 congruent sides
Rectangles
(Squares have all congruent sides.)
If I dilate point W,(12,14) by 1/2,Where will point W' be?
(6,7)
(12/2 = 6,14/2= 7)
If 2 shapes have the same length and angles,are they similar?
No
They are similar
Moving a shape without rotating it
Translation
What is the degree of this number?
4x3
Cubic
x3 = cubic since x3= x times itself 3 times
<8 and <9 =180. What type of pair are these angles?
Linear pair
180o = linear angle, therefore 2 angles that make 180 degrees are a linear pair.
If I rotate N(9,7) 180 degrees, Where will point N' be?
(-9,-7)
180 degrees= (-x,-y)
which statement shows similarity
A)HL
B)AA
C)SSA
B
Angle angle is similarity
Changing the size of a shape
Dilation
What would you call this polynomial
(6x3 + 4x2 + 2x + 7)
Cubic Polynomial
Highest degree = 3, 4 separate terms
If <5 and <6 = 90o , what kind of angle are 5&6?
Supplementary
Supplementary angles add up to 90 degrees.
If I reflect point y (3,4) over the x-axis, where will point x' be?
(3,-4)
(x,-y)
If 2 shapes are the same size and different lengths,are they similar?
No
Same shape,Different size
Similar shapes.
(4x3- 9x2 + 3x) -(-7x2 + 4x -6)
4x3 - 2x2 - x -6
4x3 (-9x2
What does CPTPC mean
Corresponding Parts of Congruent Triangles are Congruent
If I reflect point E(5,3) over the y axis,where will E' be?
(-5,3)
(-x,y)
If 2 shapes have the same length and size,are they similar?
No
They are congruent.