Dilation & Scale Factor
Translation
Reflection
Rotation
Transformations Rules
100
How do you find scale factor?
New / Original
100
What type of transformation does a translation make?
A slide
100
What type of transformation does a reflection make?
A flip
100
What type of transformation does a rotation make?
A turn
100
Where can you find every rule for this unit?
THE CHEAT SHEET
200
Triangle ABC was dilated to form triangle DEF by what scale factor?
3/2
200
Does translated figures make similar or congruent figures?
Congruent
200
Identify the transformation and rule demonstrated in the graph.
Reflection over the y-axis
Rule: ( -x , y )
200
What is the rule for a rotation of hexagon ABCDEF 270° counterclockwise about the origin?
( y , -x )
200
What is the rule for reflection over y-axis?
What is the rule for reflection over x-axis?
Reflection over y-axis (-x,y)
Reflection over x-axis (x,-y)
300
Triangle ABC is graphed on a coordinate plane with vertices at A (–3, 7), B (9, –8), and C (–5, –6). If triangle ABC is dilated by a scale factor of 1/2 with the origin as the center of dilation to create triangle A′B′C′, what will be the coordinates of the dilated figure?
A' (-1.5,3.5) Q' (4.5,-4) R' (-2.5,-3)
1/2x , 1/2y
300
Determine the rule of the translated figures.
( x - 6 , y + 3 )
300
Identify the transformation and rule demonstrated in the graph.
Reflection over the y-axis
Rule: ( -x , y )
300
Which rule best describes this transformation?
270 degree clockwise rotation or 90 degree counterclockwise rotation
( -y , x )
300
How do you know if a dilation is an enlargement or reduction?
If the scale factor is less than 1 it is a reduction and if the scale factor is greater than 1 it is an enlargement.
400
Determine the perimeter and area of the dilated figure if the quadrilateral ABCD is dilated by 4.
Perimeter = 72 cm
Area = 320 cm2
400
Determine the rule of the translated figures.
( x + 12 , y + 12 )
400
What describes a reflection of hexagon ABCDEF across the x-axis? And what is the new coordinate of A'?
Reflection over x-axis: ( x , -y )
A' ( -3 , 3 )
400
A triangle has coordinates at X (3, 7), Y (6, 7), and Z (4, 2). Dixie created transformed the triangle so that the new coordinates were X’ (-3,-7 Y’ (-6, -7), and Z’ (-4, -2). Which rule best describes this transformation?
180 degree rotation
( -x , -y )
400
What axis does left and right affect?
What axis does up and down affect?
Left and right affects the x-axis
Up and down affects the y-axis
500
Find the scale factor that was used and write a rule to represent the dilation.
2
500
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
( t - 3 , u + 8 )
500
If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the coordinates of rectangle A’B’C’D’ are A’(x, –y), B’(x, –y), C’(x, –y), and D’(x, –y), which transformation has occurred?
Reflection over the x-axis
500
Triangle STU is rotated 270° counterclockwise about the origin to create triangle S’T’U’. If point U of triangle STU is (a, b), which algebraic representation best describes point U’ of triangle S’T’U’?
- A. (a – 270, b – 270)
- B. (a, –b)
- C. (b, a)
- D. (b, –a)
D
500
Give me 2 types of rotations that have the same rule? Besides 180 degrees.
90 degree clockwise and 270 degree counterclockwise OR 90 degree counterclockwise and 270 degrees clockwise