Which figures show a translation?
Figure A
What type of movement does a translation make?
Slide
In a reflection you can reflect over the ___________ and the ______________
X – axis and y- axis
What are the directions that can happen in a rotation?
Clockwise and Counterclockwise
What operation happens in a dilation? What strategy do we use to find scale factor? What does NO mean?
Multiplication
NO!
New/Old
What is the difference: Similar vs Congruent
Similar means same shape, different size
Congruent means same shape, same size, same angle measure
What is the missing interior angle?
33
What does the SL in translations mean, the FL in reflection mean, and T in rotation mean?
Slide, Flip, Turn
Using the rule what direction and how many units did this translation go?
(x,y) -----> (x + 41, y – 67)
Right 41
Down 67
What axis does the following reflect over ?
y- axis
What are the degrees of a turn? (4 of them)
90, 180, 270, 360
what happens when?
Scale factor less than 1
Scale factor greater than 1
Scale factor equals one
teacher will check
What is orientation?
Is the way the shape is facing
What is the measure of the interior remote angle?
62
Which transformation is a Non-Congruent transformation?
Dilation
How did it move from red to blue?
Hint: direction and the units
6 units right and 3 units down
What is the rule for a reflection over the x-axis? What is the rule for a reflection over the y-axis?
(x, y)----> (x, -y)
(x, y)----> (-x, y)
Tell whether the blue figure is a rotation of the red figure about the origin. If so, give the angle and direction.
Yes; 180 degrees clockwise or counter-clockwise.
Point B is located at (3,2) and is dilated by a scale factor of 6 using the origin as the center of dilation. What are the coordinates of point B’?
(18, 12)
∆XYZ is translated right 2 units, down 3 units, and reflected over the x-axis. What algebraic representation explains the effect of the transformations?
(x, y) → (x – 3, y + 2)
(x, y) → (x + 2, –y – 3)
(x, y) → (–x – 3, y + 2)
(x, y) → (–x + 2, y – 3)
(x, y) → (x + 2, –y – 3)
What is the measure of the missing angle?
50 degrees
What is the symbol next to A: A’? What does it mean/represent?
Prime
New image
A school of fish translates from point F to point D. Algebraically describe the translation. What is the rule?
(x,y) ----> (x+5, y+1)
Dianne drew a triangle with coordinates (1, 3), (3, 2), and (4, 2). She drew an image of the triangle with coordinates (−1, 3), (−3, 2), and (−4, 2). Which rule describes the transformation? How do you know?
(x, y) → (−x, y)
(x, y) → (x, −y)
(x, y) → (x − 2, y)
(x, y) → (x, y − 2)
(x, y) → (−x, y)
how would you fill out the table? What are the 4 rules in a rotation?
When dilating point H (9, 6) by a scale factor of 1/3 using the origin as the center of dilation, what are the coordinates of point H’?
(3,2)
Figure X is the result of a transformation on Figure W. Which transformation would accomplish this?
A rotation 90° counterclockwise about the origin
What is the measure of angle a and angle c ?
a = 90
c = 40
Reflection, rotation, and translations are all examples of (two words) ___________ _______________.
Rigid Motion
What is the translation rule for this transformation?
(x,y) ----> (x + 4, y - 9)
Using the point (-3,-5). What would be the new point for a reflection over the x-axis and for the y-axis?
Reflection over the x-axis: (-3, -5)
Reflection over the y-axis: (3, -5)
Identify the transformation used to create ∆XYZ.
Reflection across the x-axis
Reflection across the y-axis
Rotation of 180°
Rotation of 90
3. Rotation of 180°
Your scale factor ¾. Write the algebraic representation for the dilation.
(x, y) --------> (3/4x, 3/4y)
What is the transformation is being represented the given Triangle PRG with coordinates P(2, 8), R(-7, 5), and G(2, 5) maps onto ∆YOB with coordinates Y(-2, 8), O(7, 5), and B(-2, 5).
Reflection over y-axis
Find the angle measure of angle 3
131