Unit 3 Flashcards
(23 cards)
What is does it mean when two angles are perpendicular?
They form two right angles
What does an altitude form?
An right angle
What is the theorem for an altitude?
altitude –> right angles
What is a theorem for two angles being right angles when they are supplemetary?
supplementary and congruent –>right angles
what is the theorem for proving something is a median?
congruent segments –> median
What is the theorem for a median?
median –> congruent segments
What does equidistant mean?
The two points are equal distance to one another
What is a perpendicular bisector?
a line that bisects and is perpendicular to a segment
What is the theorem for two points being equidistant to each other?
congruent –> equidistant
What is a way to prove something is a perpendicular bisector by two points being equidistant to each other? What is the theorem?
2 points equidistant –> perpendicular bisector
theorem for a point on a perpendicular bisector
point on perpendicular bisector –> congruence
What is a transversal
A line that intersects two distinct points
What do a linear pairs form?
Supplementary angles
What do a vertical angles form?
Congruent angles
What are alternate interior angles?
Angles that are on the interior of the two lines and on opposite sides
What are alternate exterior angles?
Angles that are on the exterior of the two lines and on opposite sides of the transversal
What are corresponding angles?
Angles that are on the same side of the transversal and in the same relative position to the two lines
What are adjacent angles?
Angles that share a side and a vertex
When looking at slopes how can you tell if two lines are parallel?
They have the same slope
How can you tell if two lines are perpendicular when looking at slopes?
Slopes are opposite recipricols
What is the slope of a horizontal line?
0
What is the slope of a vertical line?
undefined
What does every indirect proof start with?
The opposite of the conclusion