| Translations | Reflections | Coordinate Graphing | Similar Figures Angles | Similar Figures Side Lengths |
| 5 | 5 | 5 | 5 | 5 |
| 10 | 10 | 10 | 10 | 10 |
| 15 | 15 | 15 | 15 | 15 |
| 20 | 20 | 20 | 20 | 20 |
| 25 | 25 | 25 | 25 | 25 |
| Final Question | ||||
Did a translation occur here?
Did a translation occur here?
No.
BONUS!! What transformation occurred here?
Did a translation occur here?
Did a translation occur here?
No. The figures are not the same shape or size.
BONUS!! Did any of the transformations we've studied occur here?
Translate (3,4) left three units and down 2 units.
Translate (3,4) left three units and down 2 units.
The new point will be at (0, 2).
Translate A (-4, 3) using the rule (x+3, y+4).
Translate A (-4, 3) using the rule (x+3, y+4).
The new coordinates will be A':(-1, 7)
True or false: Translation affects shape and size, but not orientation.
True or false: Translation affects shape and size, but not orientation.
FALSE! A translation has NO EFFECT on shape, size, or orientation.
Did a reflection occur here?
Did a reflection occur here?
Yes.
BONUS (5 pts): From which quadrant did LMNO originate, and in which quadrant did post-image L'M'N'O' end up?
Over which axis did this reflection occur?
Over which axis did this reflection occur?
Y-axis.
BONUS: Is ABC a polygon?
What are the coordiantes of B' when B is reflected across the Y-axis?
What are the coordiantes of B' when B is reflected across the Y-axis?
(3,1)
When the following figure is reflected across the x-axis, what are the coordinates of A'?
Hint: As coordinates are (-3, 5)
When the following figure is reflected across the x-axis, what are the coordinates of A'?
Hint: As coordinates are (-3, 5)
(-3, -5)
A line has endpoints at (4, 1) and (1, 4)
Translate the line up three units. What are the coordinates of the new endpoints?
A line has endpoints at (4, 1) and (1, 4)
Translate the line up three units. What are the coordinates of the new endpoints?
(4, 4) and (1, 7)
Is the following an example of a rotation?
Is the following an example of a rotation?
Yes.
Bonus -- What quadrant is the faded figure in?
If point A was rotated counter clockwise to point A', what was the angle of rotation?
If point A was rotated counter clockwise to point A', what was the angle of rotation?
270 degrees.
The point (-3, 0) is rotated 90 degrees counterclockwise. What are the new coordinates?
The point (-3, 0) is rotated 90 degrees counterclockwise. What are the new coordinates?
(0, 3)
Point C (4, -4) is rotated 180 degrees. What are the resulting coordinates?
Point C (4, -4) is rotated 180 degrees. What are the resulting coordinates?
C': (-4, 4)
ONE transformation is done to the point (-5, 6) and the resulting point is (3, 2).
Was the transformation a rotation?
ONE transformation is done to the point (-5, 6) and the resulting point is (3, 2).
Was the transformation a rotation?
No.
Which of these is a dilation?
1. 
2.
3. 
Which of these is a dilation?
1.
2.
3.
#3.
BONUS - Is the scale factor less than or greater than 1?
A triangle has the following coordiantes:
A (0,0)
B (1,0)
C (0,1)
What are the coordinates of the resulting image when the triangle is dilated by a scale factor of 3?
A triangle has the following coordiantes:
A (0,0)
B (1,0)
C (0,1)
What are the coordinates of the resulting image when the triangle is dilated by a scale factor of 3?
A' (0,0)
B' (3,0)
C' (0,3)
The coordinates of R, S, and T from the figure above are as follows:
R(4,2), S(2,-3), T(-4,-3)
What are the coordinates of R' when the figure is dilated by a scale factor of 1/2?
The coordinates of R, S, and T from the figure above are as follows:
R(4,2), S(2,-3), T(-4,-3)
What are the coordinates of R' when the figure is dilated by a scale factor of 1/2?
R': (2,1)
In the image above, the smaller figure is A'B'C'D'.
A. Was the scale factor greater or less than one?
B. Are the figures congruent? Are they similar?
In the image above, the smaller figure is A'B'C'D'.
A. Was the scale factor greater or less than one?
B. Are the figures congruent? Are they similar?
A. The scale factor was less than one.
B. The figures are similar but not congruent.
The red triangle is dilated to form the blue triangle.
A. What is the scale factor of the dilation?
B. Are the two triangles similar or congruent?
C. Are the two figures oriented differently?
The red triangle is dilated to form the blue triangle.
A. What is the scale factor of the dilation?
B. Are the two triangles similar or congruent?
C. Are the two figures oriented differently?
A. 3/2
B. Similar.
C. No, they are oriented the same way.
True or false: a translation results in figures that are congruent, but not similar.
True or false: a translation results in figures that are congruent, but not similar.
FALSE! If two shapes are congruent then they are also similar
A square is rotated 90 degrees, dilated by a scale factor of 2, and translated up 3. Is the resulting figure similar, congruent, or neither?
A square is rotated 90 degrees, dilated by a scale factor of 2, and translated up 3. Is the resulting figure similar, congruent, or neither?
Similar
Is it possible to draw a triangle that is similar to the shape below?
Is it possible to draw a triangle that is similar to the shape below?
No
True or false: if a shape is reflected it will never result in a congruent shape.
True or false: if a shape is reflected it will never result in a congruent shape.
False.
On your white boards, draw a diagram, chart, or picture that demonstrates which transformations result in congruent shapes and which result in similar shapes.
HINT: The transformations are
Dilation
Reflection
Rotation
Translation
On your white boards, draw a diagram, chart, or picture that demonstrates which transformations result in congruent shapes and which result in similar shapes.
HINT: The transformations are
Dilation
Reflection
Rotation
Translation
Answers may vary but...
CONGRUENT: reflection, rotation, translation
SIMILAR: dilation
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