Congruence and Similarity
What are the requirements for figures to be congruent?
Same size
Same shape
What happens to the x or y coordinate when a point is translated to the right?
Add to the x coordinate
What is the algebraic rule for a reflection over the x-axis?
(x,-y)
What is the algebraic rule for a rotation 180 degrees?
(-x,-y)
What letter is the scale factor represented by?
k
What are the requirements for two figures to be similar?
Same shape
Proportional size
Congruent angles
What is the image of point P (-1,4) after a translation 1 unit up?
P' (-1,5)
What is the algebraic rule for a reflection over the y-axis?
(-x,y)
If a point is located in the third quadrant, where will it be after a rotation 90 degrees counterclockwise?
The fourth quadrant.
What is the image of the point E (1,2) after a dilation by a scale factor of 5?
E' (5,10)
Do 2/3 and 3/4 form a proportion?
No
What is the image of the point G (1,1) after a translation 1 unit right?
G' (2,1)
What is the image of the point A (4,3) after a reflection over the x-axis?
A' (4,-3)
If a point is located in the second quadrant, where will it be after a rotation 270 degrees clockwise?
Is a dilation by a scale factor of 0.4 an enlargement or reduction?
Reduction
Find the value of x: 3/x=2/6
x=9
What is the algebraic rule for a translation 7 units left and 4 units down?
(x-7,y-4)
What is the image of the point B (7,8) after a reflection over the y-axis?
B' (-7,8)
What is the image of the point C (-4,3) after a rotation 90 degrees counterclockwise.
C' (-3,-4)
What is the algebraic rule for a dilation by a scale factor of 5?
(5x,5y)
What is true about corresponding sides and angles in congruent figures?
They are congruent.
What is the algebraic rule for a translation up 2 units and left 2 units?
(x-2,y+2)
What is the image of point F (2,3) after a translation down 2 units followed by a reflection over the x-axis?
F' (2,-1)
What is the image of the point D (-5,6) after a 180 degree rotation?
If two figures are dilations of each other, what else is true about the figures?
They are similar.