Reflections
Rectangle PQRS with vertices
P(1,2) Q(2,5) R(8,3) S(7,0)
y-axis
P'(-1,2) Q'(-2,5) R'(-8,3) S'(-7,0)
Triangle ABC with vertices A(2,7), B(6,5), and C(4,1): 90 counterclockwise. What are the prime numbers?
A' (-7,2) B' (-5,6) C' (-1,4)
T(4,7) R(8,-4) A(-9,-3) P(6,2) (x,y)----->
(x+5, y+3)
T(9,11) R(13,-1) A(-4,0) P(11,5)
What is the sum for supplementary angles?
180
What is a line segment?
The part of a line that consists of 2 endpoints and all points between them
Trapezoid FGHI with vertices
F(-5,-2) G(-2,-2) H(0,-6) I(-8,-6)
y-axis
F'(-5,2) G'(-2,2) H'(0,-6) I(8,-6)
Triangle XYZ with vertices X(3,-2), Y(6,1), and Z(5,-7) 180 degrees. What are the prime numbers?
X' (-3,2) Y' (-6,-1) Z' (-5,7)
H(6,-6) O(0,-0) U(6,-4) S(-3,-7) E(2,7) (x,y)------> (x-8,y-7)
H(-2,-13) O(-8,-7) U(-11,-11) S(-11,-14) E(-6,0)
What is point-slope form?
y-y1=m(x-x1)
Write the linear equation in slope-intercept form. (4,1) slope = 2
y=2x-7
A flip over a line is called the?
Line of Reflection
Triangle GHI with vertices G(0,-2), H(7,-6), and I(3,-8): 270 counterclockwise. What are the prime numbers?
B(4,9) A(8,8) L(3,7) L(2,2) S(6,9) (x,y)--------> (x-24,y+12)
B(-20,21) A(-16,20) L(-21,19) L(-22,14) S(-18,21)
Find the value of x if H is the midpoint of GJ, GJ=4x-6, and GH=27.
x=15
What angles are on the same side of the transversal and in the same position.
Corresponding Angles
What else is a reflection a example of?
A rigid motion
Triangle LMN with vertices L(1,5), M(3,8), and N(8,1): 90 clockwise. What are the prime numbers?
L' (5,-1) M' (8,-3) N' (1,-8)
B(27,18) A(-19,7) S(23,-37) K(9,21) E(-51,-7) T(-17,16) (x,y)---->(x+12,y-13)
B(39,5) A(-7,-6) S(35,-50) K(21,8) E(-39,-20) T(-5,3)
Find the coordinates of the MIDPOINT of EF if E(-2, -8) and F(-12, 6).
(-7, -1)
What type of lines never intersect?
Parallel Lines
Rhombus WXYZ with vertices
W(-2,-4) X(1,-2) Y(4,-4) Z(1,-6)
x-axis
W(-2,-4) X(1,-2) Y(4,-4) Z(1,-6)
Triangle DEF with vertices D(4,5), E(6,-2), and F(1,-2): 270 counterclockwise. What are the prime numbers?
D' (5,-4) E' (2, -6) F' (2,-1)
U(67,53) G(-72,-29) H(38,15) (x,y)--------------> (x-47,y-97)
U(20,-44) G(-119,-126) H(-9,-82)
Write the equation of the line that is PARALLEL to y=2x+4 and passes through that point (-4, -1)
y-(-1)=2(x-(-4))
y+1=2x+8
y=2x+7
What is the equation of the line that is parallel to x - 3y = 9 and passes through the point (3,-1).
Y = -1/3x