Transversals and Angle Pairs
Equations
Distance
Translation and Reflection
Rotation and Dilation
100
DEFINE 'transversal'
What is ANY 1-DIMENSIONAL FIGURE THAT CROSSES/CUTS THROUGH AT LEAST 2 OTHER FIGURES?
100
A line with WHAT SLOPE would be perpendicular to the following:
y - 5 = 5(x + 5)
What is -1/5?
100
STATE the distance formula
What is DISTANCE =
sqrt((x1-x2)^2+(y1-y2)^2
100
SURPRISE QUESTION!!!
Similar to tarot card readers and other fortune tellers, there used to be an art called tyromancy that was supposed to tell you what your future holds. Tyromancy, however, required someone to study the depth, mold growth, scent, and melting patterns of THIS TYPE OF FOOD!
What is CHEESE?
100
EXPLAIN THE DIFFERENCE between rotating a graph 90° about the origin and -90° about the origin.
What is rotating COUNTERCLOCKWISE (positive) VS. CLOCKWISE (negative)
200
NAME 5 OF THE 7 TYPES of special angle pairs we know
Note: I will not accept the answer of complementary angles or supplementary angles - I want you to list others
What are (5 of the following):
CORRESPONDING ANGLES
SAME-SIDE INTERIOR ANGLES
SAME-SIDE EXTERIOR ANGLES
ALTERNATE INTERIOR ANGLES
ALTERNATE EXTERIOR ANGLES
VERTICAL ANGLES
LINEAR PAIR
200
SURPRISE QUESTION!!!
Between 1997 and 2017 (20 years), a cat named Stubbs served as the mayor of the town of Talkeetna! WHAT STATE did Stubbs hold office in?
Hint: It's west of Colorado.
Where is ALASKA?
200
FILL IN THE BLANK:
The shortest distance between a point and a line comes from traveling __________ from the line to the point.
What is PERPENDICULAR?
200
REFLECT this graph about the y-axis, then NAME 2 OF ITS IMAGE'S POINTS:
What are 2 OF THE FOLLOWING:
F' = (10, 12.5)
G' = (6.25, -3)
H' = (-1.33, 9)
200
NAME ONE POINT of the image after the following transformation:
ΔABC dilated by a factor of -2 makes image ΔA'B'C'
A = (1, 2), B = (0, 0), C = (-3, 1)
What is (one of the following):
A' = (-2, -4), B' = (0, 0), C' = (6, -2)
300
FIND X:
What is 52?
300
If I wanted to describe the 90° rotation of a figure on a coordinate plan I could say the following:
(x, y) ---> (-y,x)
USING THIS CODE STYLE how would you write the following:
Dilate a figure by a factor of 6, then rotate it -270°, then translate it 3 units down
(x, y) ---> ???
What is:
(x, y) ---> (-6y, 6x - 3)
Steps:
Dilate by 6: (x, y) ---> (6x, 6y)
Rotate -270° : (6x, 6y) ---> (-6y, 6x)
Translate down 3: (-6y, 6x) ---> (-6y, 6x-3)
300
SURPRISE QUESTION!!!
The inventor of THIS FAMOUS POTATO CHIP BRAND's cylindrical containers had his ashes stored in one of the containers when he died.
What are PRINGLES?
300
TRANSLATE the graph using the following code, then STATE THE EQUATION of the line that is the resulting image:
F = (x, y)
F' = (x-3, 1+y)
What is:
y-7=3(x+2)
OR
y+2=3(x+5)
OR
y=3x-13
300
MAKE UP A STORY about rotating and dilating something in this classroom.
Example: "If I rotate my desk 270 degrees, then dilate it by a factor of 3, then the image would be congruent and parallel to the door."
Ms. Hill must agree with the reasonability of the story.
NO ONE ELSE'S OPINION WILL CHANGE HERS!
400
FIND X and Y:
What is X=12.5 and Y=220?
400
WHAT 3 EQUATIONS do we need to find the shortest distance from a point to a line?
Hint: Example answer:
The equation of turtle speed
(Notice how this example contains no specific numbers)
What are:
1. The equation of THE GIVEN LINE
2. The equation of THE LINE CONTAINING THE GIVEN POINT AND IS PERPENDICULAR to the given line
3. The equation to find THE POINT OF INTERSECTION of these 2 lines
(I will accept if you replace one of these with something related to the distance formula)
400
Find the SHORTEST DISTANCE between these two lines:
y = -2x + 3
y = 4x + 9
What is 0?
400
If you reflect a graph over both axes (x then y, or y then x), IS THIS THE SAME as rotating the graph?
If it is the same, NAME THE DEGREE OF ROTATION.
What is YES and 180 or -180 DEGREES?
400
SURPRISE QUESTION!!!
In ancient Italy, France, and other parts of Europe, the use of WHAT UTENSIL was considered rude, sacrilegious, and hateful to God - because it resembles a human hand?
What is a FORK?
500
SURPRISE QUESTION!!!
WHAT ANIMAL has fingerprints so similar to humans that they taint crime scenes and can even make it impossible to figure out who committed the crime?
What is a KOALA?
500
SURPRISE QUESTION!!!
NAME ONE of the 3 most deadly jobs in the world.
Hint:
This is by percentage, not quantity
What is ONE of the following:
1. Everest Sherpa - 30.30%
2. Astronaut/Cosmonaut - 29.28%
3. U.S. President - 17.39%
500
Find the SHORTEST DISTANCE between these two lines:
y + 3 = x + 5
y/2 = 1/2x
What is
sqrt(2)
500
DESCRIBE in words and DRAW a picture of what rotation onto/into a 3rd dimension would look like.
The 3rd dimensional axis is called the Z-axis. Here are 2 images representing a 3D coordinate plane looks like this:
Ms. Hill must agree with the reasonability of the explanation.
NO ONE ELSE'S OPINION WILL CHANGE HERS!
500
DETERMINE THE DILATION FACTOR AND ANGLE OF ROTATION for the following graph --> image (red is the graph, green is the image, it dilates then rotates):
What is:
DILATION FACTOR = 1/2 or 50%
ANGLE OF ROTATION = -90° or 270°