Dilations
What does "k" mean?
Scale Factor
When reflecting over the x axis, which coordinate changes signs?
The Y coordinate
If I translate a point 2 units to the right, am I acting on the X axis or the Y axis?
X axis
What is the Rule for Dilations
(x,y) becomes (kx, ky)
True or False:
y=3x-2 is PROPORTIONAL
false, the b must be zero or not present
What are the two things that can happen in a dilation?
It gets bigger or smaller
Enlargement or Reduction
Reflect Point A (-7,-7) over the X axis
(-7, 7)
what does the direction "down" mean in a translation?
You are subtracting from your Y axis
What is the Rule for reflecting over the X axis?
(x, y) become (x, -y)
What is the difference between Ascending and Descending?
Ascending is from Least to Greatest
Descending is from Greatest to Least
Point Q is being dilated by a scale factor of 2. Is this an Enlargement or Reduction?
Enlargement
What is the rule for reflecting Point B (-3, 2) over the Y axis?
(x,y) becomes (-x, y)
NOTICE: It does not ask for the answer, just the rule
Translate points ABC to the left 7 points
A (2, 4)
B (0, -3)
C (-6, -7)
A (-5, 4)
B (-7, -3)
C (-13,-7)
Write the rule for a point being dilated by a scale factor of 1/4?
(x,y) becomes (0.25x, 0.25y)
What is 0.0000389 in scientific notation?
3.89 x 10-5
Triangle ABC has the following Coordinates:
A (1, 0)
B(0, -2)
C (2, -2)
After Dilation by 2.5, what are the new Coordinates?
A (2.5, 0)
B (0, -5)
C (5, -5)
Reflect points ABC over the Y axis
A (-6, 3)
B (0, 4)
C (9,2)
A (6, 3)
B (0, 4)
C (-9, 2)
Translate these two points 4 units left and 2 units up
X (5, 4)
Y (0, -3)
X (1, 6)
Y (-4, -1)
Write the Rule for point D ( -5, 8) being reflected over the Y axis
(x, y) becomes (-x, y)
NOTICE: The question did NOT ask for the answer, just the rule.
What is the Volume of a Cylinder that has a diameter of 10 and a height of 2?
V = 157
Points XYZ have be dilated. Find the scale factor.
X (14, 12) X' (5.6, 3)
Y (20, 32) Y' (5, 8)
Z (0, 16) Z' (0, 4)
1/4 or 0.25
Yes or No:
Can you reflect a 0 coordinate?
No
Sally's house is located at (-2,4). Her best friend lives at point (3, -2). Write a translation rule describing how Sally leaves her home to make it to her best friend's house.
(x,y) becomes (x+5, y - 6)
or
Sally goes five units right and six units down
A point is being translated six units down and four units right. What is the rule for this?
(x, y) becomes (x+4, y-6)
An 8 foot ladder is leaning against a light house. The base of the ladder is 4 feet away from the bottom of the light house. The light house also has a 5 foot tall light at the top of it. What is the height of the light house and its light?
11.93