Dilations
Dilate Triangle ABC from the origin with a scale factor of 3. A(1,1), B(1,3), C(3,1)
What is A'(3, 3), B'(3, 9), C'(9, 3)?
Can a triangle with sides of 7.2, 8.7 and 15.8 exist? Explain why or why not.
Yes because 7.2 + 8.7 is 15.9>15.8
False
Name three triangle similarity conditions.
SSS AA and SAS
How many points did Revere beat the Copley HS football team by?
3
A(-2,-2), B(-1,2), C(2,1); scale factor of 2 from the origin.
What is A'(-4, -4), B'(-2, 4), C'(4, 2)?
James A. Garfield
Find x if 3x -37 is alternate interior to an angle with a measure of 23.
x = 10
How do you determine triangles to be congruent using what we know about similarity?
Show that they are similar with a scale factor of 1.
What Team Does Ohio State Play this Weekend?
Penn State
A(-4,6), B(2,6), C(0,8); scale factor of 1/2.
What is A'(-2, 3), B'(1, 3), C'(0, 4)?
Daily TRIPLE!!!!!!!
What theorem tells us that the angle measures in a triangle add to 180 degrees?
What is true about the angle of incidence compared to the angle of reflection, and what angle relationship did we use to justify this?
They are equal. Vertical Angles.
If two triangles have one angle pair with equal measure and 2 sets of corresponding sides enlarged by a common scale factor, are they similar?
Maybe
Negative Consequences!!!!(multiply score by 1/2 if missed)
What is Mr. Somerville's new baby's name?
Lucy
A(-3,-2), B(1,2), C(2,-3); scale factor of 1.5, Dilation point is (2,1).
What is A'(-5.5, -3.5), B'(0.5, 2.5), C'(2, -5)?
If triangle ABC with respective coordinates of (2,3), (5,8) and (1,1) is rotated 270 degrees clockwise about the origin, what will the coordinates of B' be?
(-8,5)
If the measure of the supplement to an angle alternate interior to angle A has a measure of x + 33, what is the measure of angle A in terms of x?
147 - x?
Absolutely awesome!!!! (any team that gets this right takes the absolute value of their score.).
Triangle ABC is similar to Triangle ZBQ. If the AB is 4 units, CA is 13 units, and ZB is 2, what is the length of BQ?
Not possible.
What was the official name of yesterday's spiritday?
Monochromatic squad day
How do you find the point of dilation if you are given the original image and dilated image but they are not on the coordinate plane?
Draw Lines connecting the vertices of each shape. Dilation point is the point of intersection.
If you get this correct, you earn the points and can remove 200 points from another team's score!!!
Mr. Somerville reflected the point (3,-2) over the line of reflection y = x. If he got the new coordinate of (-4, 5) do he reflect correctly? Explain how you know.
Yes. The slope is -1 which is opp/reciprical.
Name 5 types of angle relationships we have studied.
Corresponding, Same Side Interior, Alternate Interior, Vertical, Supplementary, Complementary
Explain why SSA is not a valid similarity condition.
2 possible triangles can be created under those conditions.
How old is Mr. Somerville?
39