Dilations
Transformations
Translations
Reflections
Challenge
100

What does a dilation do?

What is enlarge or reduce a figure

100

Define 

TRANSFORMATION

A transformation is a change in position, shape, or size of a figure.

100

A translation has the rule: 

(x,y) --> (x + 4, y - 7) 

Describe the rule in a sentence... 

(HINT** how many unit are you moving and in what direction?)

4 units to the right and 7 units down. 

100

This coordinate changes when a figure is reflected over the x-axis. 

the y-coordinate 

100

This graph depicts a rigid transformation. What transformation and what is the rule? 

What is a translation. 

1 unit right, 2 units down, (x,y) --> (x + 1, y - 2)

200

What does k stand for in dilations?

What is scale factor

200

Define 

TRANSLATION

A translation "slides" an object a fixed distance in a given direction.

200

Adding to the x-coordinate moves a figure in this direction. 

What is to the right
200

Reflect the point (2,1) across the y-axis. What are the coordinates?

(-2,1)

200

This graph depicts a rigid transformation. What transformation and what is the rule?

What is a reflection. 

this figure is relflected over the y-axis. 

300

On a coordinate plane, vertex A for triangle ABC is located at (6,4). Triangle ABC is dilated by a scale factor of 0.5 with the center of dilation at the origin. The resulting image is triangle A'B'C'. What are the coordinates of vertex A' ?

What is (3,2)

300

Define 

REFLECTION

A reflection is a "flip" of an object over a line.

300

Translate the point (3,2) up 4 units and left 8 units. What are the new coordinates? 

(-5, 6) 

300

This figure has been reflected over this line. 


what is the x-axis?

300

The graph shows multiple transformations of the original shape *. This image shows a reflection of * across the y-axis.


What is D

400

Point B (6,10) was dilated by a scale factor and became B' (12,20). What was the scale factor?

What is k=2

400

Define 

ROTATION

A circular movement. Rotation has a central point that stays fixed and everything else moves around that point in a circle.

400

What is the algebraic representation (how would you write the rule) of a translation that moves a figure 2 units left and 3 units up? 

(x,y) --> (x - 2, y + 3)

400

What rule is being used in the given transformation? 


Reflection across the y-axis (x,y) --> (-x,y)

400

This graph depicts a rigid transformation. What transformation and what is the rule?

90-degree clockwise rotation

500

Point C (-2,1) was dilated by a scale factor of k=4. What is the new point?

What is (-8,4)

500

Define 

DILATION

A transformation in which all dimensions of a figure are multiplied by the same scale factor. Enlarges or reduces a figure using a scale factor. *A NON-RIGID TRANSFORMATION

500

How much did this shape translate?


what is left 2 units, up two units. 

(x,y) --> (x - 2, y + 2) 

500

This is the coordinate A' after the figure below has been reflected over the given line. 


what is (6,1) 

500

The graph shows multiple transformations of the original shape *. This image shows a rotation of * 90 degrees counterclockwise about the origin.

figure B 

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