Unit 1:
Fundamentals of Geom.
Fundamentals of Geom.
The angle that two angles add up two if they are supplementary
What is 180°?
The type of reasoning that is based on patterns found in a problem, not given facts.
What is Inductive?
The type of angle pair that is interior and supplementary when a transversal cuts through two parallel lines.
What is Same Side Interior Angles?
The list of all of the triangle congruence statements.
What is SAS, SSS, AAS, ASA, and HL? (Doesn't have to be in this order)
What is the circumcenter to the vertices are all congruent?
The classification of a triangle with two sides that are equal and the last side is a different length and one angle that is over 90° (Side and Angle classsification)
What is an isosceles obtuse triangle?
This is the type of proof where you divide your work into statements and reasons, instead of writing one long paragraph.
What is a Two-Column Proof?
The type of line that divides an angle into two equal parts and all three of them intersect to create the incenter. (In a triangle)
What is an Angle Bisector?
This is the short acronym Laurence Gregory Watkins used: Mr. Foot gave his class two triangles which he said were congruent. He then asked the class to explain why two of the angles were a congruent pair. Laurence Gregory Watkins used a short acronym to explain why.
What is CPCTC?
What the orthocenter proves.
What is the fact that the Ortho center to the sides are all congruent?
The slope of the line perpendicular to the line that runs through (-10,10) & (2,-4)
What is 6/7?
The version of the conditional statement is "if ~Q then ~P" if the og statement was "if ~P then ~Q."
What is the Converse statement?
The type of point created where each line segment comes from a vertex and drops perpendicularly to the opposite side.
What is the Orthocenter?
The type of relationship between the two angles opposite of two congruent sides on an isosceles triangle.
What is Congruent?
Free Points. Lucky Duck. The answer is 2 trust. The answer to the problem 1+1.
What is 11?
The midpoint of line segment AB if point A is at (2,4) and point B is at (8,6)
What is (5,5)?
This is the type of proof John uses: "Martha said that 'if you have a spherical orange fruit, then you have an orange' but John proved her wrong when he said, 'Tangerine is a spherical orange fruit but it is not an orange.'"
What is Proof by Contradiction?
The equation of the perpendicular bisector to the line passing through (-3,7) and (5,3). (Point-Slope Form)
What is: y-5 = (x-1)?
The measure of the external angle on the outside of a triangle where the external angle is adjacent to angle 1 and the measures of angles 2&3 are 67° and 41° respectively.
What is 108°?
The statement the centroid proves.
What is the fact that the verticy to the centroid is two times the length of the segment from the centroid to the side?
The measure of a pair of complementary angles where one is 15 less than 4 times the other.
What is 21° and 69°?
This is the type of proof Demetrious Demarcas Billy Bob Joe Jr. IV used in this scenario: "Mr. Li (not Mr. Lee) asks his students to prove the statement: 'If a polygon is a triangle, then its interior angles add up to 180 degrees.' Demetrious Demarcas Billy Bob Joe Jr. IV proved that 'If a polygon's interior angles do not add up to 180 degrees, then it is not a triangle.' was true and told Mr. Li because of that the original statement is true."
What is Proof by Contrapositive?
The measure of HE: Line EY is the perpendicular bisector of line HA. Point E lies on line HA. If YH = 27 and YE = 23. If the answer is not a whole number simplify the best you can.
What is 10√(2)?
The measure of angle 2 in this scenario: You are given a triangle where each angle is labeled with a number. M∠1 = (p-11)°, M∠2 = (p+4)°, and M∠3 = (1/2x+22)°
What is 70°?
The measure of all the lengths from circumcenter C to vertices of a triangle. (The vertices are labeled X, Y, & Z) If CZ = 12p + 14 and CY = 7p + 49.
What is 98?