Parallel Lines and Angles
What are Vertical Angles
Angles opposite each other when lines intersect
What transformation turns a figure around a point?
Rotation
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
How do you know lines are parallel from slope?
Parallel Lines have the same slope
What is the Sine Ratio?
Opposite/hypotenuse
If two parallel lines are cut by a transversal, what angle pairs are congruent in matching positions?
Corresponding angles
What transformation changes size but not shape?
Dilation
Prove that a triangle with side lengths 6,8,10 is a right triangle
using a^2+b^2=c^2, since both sides are equal to each other, this is a right triangle
How do you know lines are perpendicular from slope
the slopes are negative reciprocals of each other
Adjacent/hypotenuse
If lines are parallel, same-side interior angles are what?
Supplementary
What happens to coordinates under a translation?
Shift left/right/up/down
Two triangles have 1 pair of sides and 1 pair of angles that are congruent to each other. Is that enough to prove that the triangles are congruent?
No
What is the slope of a horizontal line?
0
What is the Tangent Ratio
Opposite/Adjacent
If angle A is 62° in a parallelogram, what is angle B?
118°
Name all rigid motions we did this year
Rotations, Reflections, Translations
What must be true for SSS congruence
All corresponding sides are congruent
∠1 and ∠2 form a straight angle. If m∠1 = 113°, what is m∠2?
180 − 113 = 67°
JK = 5x − 6, KL = x + 8, and JL = 26. Find x.
(5x − 6) + (x + 8) = 26
6x + 2 = 26
6x = 24
x = 4
What is the sum of same-side interior angles?
180°
Two complementary angles measure (3x + 4)° and (2x + 1)°. Find x.
(3x + 4) + (2x + 1) = 90
5x + 5 = 90
5x = 85
x = 17
Two supplementary angles measure (4x − 7)° and (2x + 13)°. Find x.
Supplementary means sum = 180
(4x − 7) + (2x + 13) = 180
6x + 6 = 180
6x = 174
x = 29
Segment AB = 3x + 2, BC = 2x − 1, and AC = 21. Find x.
(3x + 2) + (2x − 1) = 21
5x + 1 = 21
5x = 20
x = 4
Point P is the midpoint of QR. If QR = 42, find QP.
42 ÷ 2 = 21