Definition
to shift or slide an image
Transformation
What transformation would occur for the rule (x,y) -> (x - 4, y + 3)
Left 4 and Up 3
show slide 1 in canva
EF
If A is (9,4) what is A' after a reflection over the x axis?
A' (9,-4)
to flip or mirror an image
Reflection
What transformation would occur for (x,y) -> (x, -y)
Reflection over the x axis
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Quad LMNO is congruent to Quad HIJK. What angle is congruent to angle N?
Angle J
Name this vector. Show slide 6 in canva.
(3, -1) (sharp parentheses)
to change the size of an image by a scale factor
Dilation
What transformation would occur for (x,y) -> (y, -x)
270 degree CCW rotation or 90 degree clockwise rotation
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270 degree CCW rotation
Triangle ABC is congruent to Triangle XYZ. If AB is 7, BC is 4, and AC is 5. What is the length of XY?
7
What is the difference between preimage and image? What is ' called?
Preimage is your first figure. Image is after a transformation occurred. ' is called prime and is attached to the image.
a direction with magnitude
Vector
What transformation would occur to (x,y) -> (x - 2, y + 4) -> (-x,-y)
Left 2, Up 4, 180 degree rotation
show slide 4 in canva
Dilation
If ABCDE is congruent to RSTUV. Angle A=32°, B=48°, C=26°, D=49°, and E=81°. What is the sum of the measure of angle R and U?
32+49= 81°
If B is (-2, 5) what is B'' after a 90 degree CCW rotation and a reflection over the y axis?
B'(-5,-2) and B" (5,-2)
CPCFC
Corresponding Parts of Congruent Figures are Congruent
What transformation would occur to (x,y) -> (4x, 4y) -> (x + 5, y)
Dilation of a scale factor of 4, shift right 5
show slide 5 in canva
180 degree rotation
Triangle PRQ is congruent to Triangle BCD. If angle P is x+4, R is 26°, Q is 2x+12, D is 34°, C is 3y+5, and B is 12. Find the value of y.
y=7
What were the 3 types of symmetry we mentioned and how do you know if you have them?
Line if you can draw a line through your figure, point if you can flip your figure upside down, and rotational if you can spin your figure less than 360 degrees