Rays, Angles, and Segments
What angles are congruent?
What is corresponding angles, vertical angles, alternate interior angles, and alternate exterior angles
A translation is a _____ of the pre-image
What is a shift
Multiply coordinates by _______.
What is Scale Factor
A reflection _______ the pre-image over a ____
What is mirrors;line
A rotation is
What is a shape rotating around a fixed point
Supplementary angles are two angles whose sum is ___ while complementary angles are two angles whose sum is ___
What is 180 degrees;90 degrees
What is translation rule maps (-2,-4) onto (3,-6).
What is (x+5, y-2)
Center of dilation can be found using ______.
What is fixed points, and intersecting lines
Point (-5,2) is reflected over the Y-axis. Where is the new point?
What is Point (5,2)
Rules for Rotations
What is a 90 degree counter clockwise (x,y)—> (-y,x), 90 degree clockwise & 270 degree clockwise (x,y)—>(y,-x), 180 degree counter clockwise & clockwise (x,y) —>(-x,-y)
Line BC and line EC intersect at point F. If m<BFC=44 degrees, find the other 3 angles.
Hint: Draw It
What is
m<DFE=44 degrees
m<BFE=136 degrees
m<DFC=136 degrees
The original is point is (8,-4). The new point is (5,-1).
What is the translation rule?
What is (x-3,y+3)
Determine the coordinates of Triangle A’B’C’ if A=(2,1), B=(5,1), C=(3,6)
GIVEN: Scale Factor of 3
What is A’=(6,3), B’=(15,3), C’=(9,18)
What are the rules for reflections?
Hint: There are 3 rules!
What is
1. Over X-axis: (x,y)-->(x,-y)
2. Over Y-axis: (x,y)-->(-x,y)
3. Over the X-axis & Y-axis: (x,y)-->(-x,-y)
Measure of A’B’C’ is ___.
GIVEN: A=(-3,-3), B=(-6,-3), C=(-6,-8)
GIVEN: Rotation of 90 degrees clockwise
What is A’=(-3,3), B’=(-3,6), C’=(-8,6)
An angle bisector is a ___ that divides the angle into two _____ angles
What is ray;equal
Parallelogram ABCD has vertices of (10,7), (14,7), (13,3), (9,3) respectively. It was translated 7 units to the left. What is A’B’C’D’
What is A’=(3,7), B’=(7,7), C’=(6,3), D’=(2,3)
A dilation is _____.
What is a transformation that changes the size of a shape
Suppose segment AB has endpoints "A(4,-2)" and "B(-3,1)". If segment AB is transformed to form segment A'B' such that the endpoints are now "A'(-4,2)" and "B'(3,-1)", what reflection rule has occurred?
What is Reflection over X-axis and Y-axis
If rotated 180 degrees counter clockwise, what is C’D’E’=___.
GIVEN: C=(1,4), D=(1,8), E=(5,9)
What is C’=(-1,-4), D’=(-1,-8), E’=(-5,-9)
If ray CD bisects <JCQ, and m<JCD=41 degrees, then m<QCD=__ and m<JCQ=__
What is 41 degrees;82 degrees
Figure EFGH has vertices at (-5,2), (-5,-2), (-1,-2), and (-1,2) respectively. If the figure is translated 5 units to the right and 2 units up, what are the coordinates of the E’F’G’H’?
What is E’=(0,4), F’=(0,0), G’=(4,0), H’=(4,4)
The scale factor is greater than 1 so the image will be ______ than the pre-image
What is larger
Rectangle ABCD is reflected over the x-axis.
The original point are A(10,2) B(10,9) C(5,9) D(5,2)
What is A'(10,-2) B'(10,-9) C(5,-9) D(5,-2)
R’S’T’=____.
GIVEN:R=(1,0), S=(10,0), T=(1,7)
GIVEN: 270 degree counter clockwise rotation
What is R’=(0,-1), S’=(0,-10), T’=(7,-1)