Potato
A triangle is translated 5 units right. What is the rule for this translation?
(x,y) ---> (x+5, y)
A reflection is a:
A) turn
B) flip
C) slide
D) enlargement
B) flip
A rectangle is reflected over the x-axis. What is the rule for this reflection?
(x, y) --> (x , -y)
Does a translation preserve congruence & orientation of a figure?
Orientation: Yes (since we are only sliding the same, it is still facing the same way)
Mrs. Reiser's favorite animal is a ___________.
hedgehog.
Point R is translated 5 units left and 2 units down. Write the rule.
(x, y) ---> (x - 5, y - 2)
A translation is a ________ of a figure.
slide
Point Q moves from (4,−1) to (−4,−1).
What kind of transformation is this?
Write the rule for this Transformation.
y-axis reflection
(x, y) --> (-x, y)
On a coordinate plane, triangle ABC has vertices at A (−2,3), B (1,3), and C (0,0). The figure is then reflected over the y-axis. Describe the orientation and congruence of the triangle after it has been reflected over the y-axis.
Orientation changes (facing a different way). The figures are congruent.
Given the transformation rule:
(x,y) → (x+5, y−2)
1) What type of transformation is this?
2) does it preserve congruence?
3) How did the shape move?
1) Translation
2) Yes, the shapes are congruent.
3) Right 5 and down 2
A rectangle is translated 4 units up and 3 units left. Write the rule.
(x,y) --> (x-3, y+4)
A reflection results in shapes that are:
A) similar
B) congruent
C) bigger
D) smaller
B) congruent
In a translation, x + means move to the _____ , x - means move to the _____ , y + means move _____ , y - means move _____ .
x + right
x - left
y + up
y - down
Which is the only transformation that does NOT preserve congruence?
Dilation
If a shape undergoes the transformation:
(x,y) → (2x,2y)
1) Is the shape congruent?
2) What kind of transformation is this?
1) No, it got 2 times bigger.
2) Dilation
Point R (3, 2) is translated 2 units up and 1 unit left. What are the coordinates for R'?
x: 3-1=2
y: 2+2=4
(2, 4)
If point A (-3, -7) is reflected over the y-axis, what are the coordinates for A'?
(3, -7)
Which transformation(s) preserve congruence?
A) (x,y) --> (x-3, y+4)
B) (x,y) --> (0.5x, 0.5y)
C) A reflection of a rectangle across the x-axis
D) A dilation by a scale factor of 4 with the origin as the center of dilation.
A & C
If a figure is Reflected, what happens to the Perimeter and Area of the new figure?
A rectangle is translated 4 units right and 2 units down. What happens to its perimeter and area?
Nothing, the rectangle is congruent, so the perimeter and area stays the same.
Triangle ABC has vertices A (3, 0), B (-1, 7), C (0, 4) is translated 4 units down and 3 units right.
1) Write the rule.
2) Write the new coordinates for A'B'C'
1) (x,y) --> (x + 3, y - 4)
2) A' (6, -4), B' (2, 3), C' (3, 0)
On a coordinate plane, triangle ABC has vertices at A (−2,3), B (1,3), and C (0,0). The figure is then reflected over the y-axis. Write the new coordinates for A', B', and C'.
A' (2, 3)
B' (-1, 3)
C' (0, 0)
Mrs. Reiser's favorite movies are:
Lord of the Rings or The Hobbit
If a figure is Reflected, what happens to the angles in the figures?
The angles are ________.
congruent
A figure was flipped over the x-axis and y-axis. Write the rule for this transformation.
(x,y) --> (-x, -y)
Did you know this is also the same thing as a 180 degree rotation? :)