Distance, Midpoint, Slope
How do you find slope from an equation?
The coefficient of x in slope-intercept form (y=mx+b)
What is point symmetry?
What is a conditional statement?
An If-Then statement
If two parallel lines are cut by a transversal, name all all angle relationships that are congruent (must name all to get the points).
Vertical, corresponding, alternate interior, and alternate exterior.
Point M(0, -3) is the midpoint of segment JK. If the coordinates of J are (8, -6), find the coordinates of the other endpoint K.
EME Method: K(-8, 0)
Name all types of symmetry that a square has.
Rotational, Line, and point symmetry
What is the inverse of the following conditional statement?
If you are nice, then Santa will not give you coal.
Inverse NEGATES the hypothesis and conclusion, but does not switch them.
If you are not nice, then Santa will give you coal.
If two parallel lines are cut by a transversal, name all all angle relationships that are supplementary (must name all to get the points).
Linear Pair, Consecutive interior, and Consecutive exterior
Find the midpoint of segment AB with endpoints A(-4, 2) and B(-6, 3)
(-5, 5/2)
Point M(-4, 2) undergoes the transformation (x,y) -> (x + 10, y - 7). What are the coordinates of M'?
What is the contrapositive of the following statement?:
If you head hurts, then your brain is growing.
SWITCH AND NEGATE the hypothesis and conclusion.
If your brain is not growing, then your head does not hurt.
Two parallel lines are cut by a transversal. <2 and <3 are corresponding angles. m<2 = 12x - 3 and m<3 = 4x +37. Find x.
12x - 3 = 4x + 37
x = 5
Find the distance between the points: (-3, 1) and (4, -4)
sqrt(74)
Point B(4, 5) is rotated 90 degrees counterclockwise. What are the coordinates of B'?
Rotation 90 degrees is (-y,x). B'(-5,4)
Determine if the conclusion is valid. If so, state which Law was used.
Statement: If you do not participate in the holiday review jeopardy, then you will receive a zero.
Statement: You receive a zero.
Conclusion: You did not participate in the Holiday Review Jeopardy.
Invalid Conclusion. It is NOT Law of detachment because the second statement DOES NOT math the HYPOTHESIS.
Two parallel lines are cut by a transversal. <2 and <3 are consecutive exterior angles. m<2 = 6x + 68 and m<3 = 3x + 22. Find m<3.
6x + 68 + 3x + 22 =180
x = 10
m<3 = 3(10) + 22 = 52 degrees
Find the slope between the following points: (9,3) and (9,-1)
m = undefined
Point A(-2, -4) is reflected over the line y=-x. What are the coordinates of A'?
A'(4,2)
Which of the following would be a counter example to the following statement:
If two angles are congruent, then they are corresponding.
a. Corresponding angles
b. Consecutive interior angles
c. Linear Pair
d. Vertical Angles
d. Vertical angles prove the hypothesis true (they are congruent), but show the conclusion to be false (the angles are not corresponding)
Determine if the following are parallel, perpendicular or neither.
4x - 6y = 12
y = 2/3x - 5
parallel. They both have a slope of 2/3