Translations
This is the rule for translating a point 3 units right and 5 units up.
(x,y)→(x+3,y+5)
What is the rule for reflecting a point across the y-axis?
What is (x,y)→(−x,y)
What is the rule for dilating a point by a scale factor of 2?
What is (x,y)→(2x,2y)
What is the rule for rotating a point 90° counterclockwise?
What is (x,y)→(−y,x)
What is the general form of slope-intercept form?
What is y=mx+b?
Translate the point (−4,7) by the rule (x,y)→(x−2,y+4).
What is (−6,11)
Reflect (5,−3) across the x-axis.
What is (5,3)
If a figure is dilated by a factor of 12\frac{1}{2}21, how does the size change?
Enlargement or Reduction
What is Reduction
Rotate (3,−2) 180° about the origin.
What is (−3,2)?
What is the slope of the equation y=−3x+5?
What is -3
What happens to a figure when it is translated using (x,y)→(x−5,y−2)?
What is moving left 5 units and down 2 units
Reflect (-2,6) across the y axis.
What is (2,6)
Dilate (−3,4) by a scale factor of 3.
What is (−9,12)
If a point is rotated 270° counterclockwise, what is the rule?
What is (x,y)→(y,−x)
Write the equation of a line with slope 2 and y-intercept -4.
What is y=2x−4
If a point moves from (2,−1) to (5,3) what was the translation rule?
What is (x,y)→(x+3,y+4)
What is the effect of reflecting across both axes successively?
What is (x,y)→(−x,−y), the same as a 180° rotation?)
If a dilation is applied with a scale factor of k, what transformation occurs when k>1?
Enlargement or Reduction
What is Enlargment
What happens to a shape when it is rotated 360°?
What is it remains unchanged?
Find the equation of the line passing through (1,4) with a slope of -2.
What is y=−2x+6
A translation maps (−6,8) to (2,5). Find the rule.
What is (x,y)→(x+8,y−3)
True or False: A reflection preserves the orientation of a shape.
False
True or False: A dilations preserves the congruence of a shape.
False
Which rotation produces the same result as reflecting across both axes?
What is a 180° rotation?
If a line passes through the points (2,5) and (6,9), what is its equation?
(What is y=x+3