Unit 2: Reasoning
The conclusion you can draw from the following two statements. -If you have a job, then you have an income. -If you have an income, then you must pay taxes.
What is If you have a job, then you must pay taxes.
An angle is 25 degrees, what is the measure of its supplement?
What is 155 degrees.
Given two parallel lines and a transversal, one angle measures 80 degrees, what is the measure of an angle that is alternate interior to that angle?
What is 80, alternate interior angles are congruent!
The two congruent sides of an isosceles triangle.
What are the legs.
Connects the midpoints of two sides of a triangle.
What is a midsegment.
A biconditional statement must contain this phrase
What is 'If and only if'
The expressions for two complementary angles is x and 3x + 10. What are the measures of the two angles?
What is 20 and 70.
Given two parallel lines and a transversal, one of the Consecutive interior angles is 3x + 50, the other is x + 10. Find the value of x.
What is x = 30
Given: RSTU is congruent to KLMN Complete: LM is congruent to
What is ST.
The balance point of a triangle is found by locating what special segments and what point of concurrency?
What is the medians and the centroid.
If a student is on the basketball team then the student has passing grades. De'Anthony is on the basketball team. What can we conclude?
What is De'Anthony has passing grades.
Suppose <ABC measures 120 degrees. If ray BD bisects <ABC then the measure of <DBC is how many degrees?
What is 60 degrees.
3 angles of a triangle are x, 2x and 3x. Find the measure of the largest angle.
What is 90. (x = 30)
The vertex angle of an isosceles triangle is 40, what is the measure of one of the base angles.
What is 70.
The point of concurrency of the angle bisectors.
What is the incenter.
If you miss the bus, then you are late to school. What is the hypothesis of this statement?
What is 'you miss the bus'
Segment XY = 20 and P is between X and Y. If XP=12 then PY=?
What is 8
The slope of a line that passes through points (5,-2) and (5,2) is what?
What is Undefined.
Name the 5 shortcuts to prove triangles congruent
What is SSS, SAS, HL, AAS, ASA
The point of concurrency of a triangle that is equidistant from the vertices.
What is circumcenter (perpendicular bisectors)
If an angle measures 110 degrees, then it is obtuse. Make the converse, determine if it is true or false, write a counterexample if it is false.
What is If an angle is obtuse, then it measures 110 degrees.
False and counterexample is 91 degrees (or any specific angle measure that is greater than 90 and less than 180 degrees)
If segment AC has a length of 16 and B is between and and C, find the lengths of AB and BC given that:
AB=2x-6
BC=x + 4
What is AB = 6 and BC = 10
Write the equation of a line perpendicular to a line with an equation of -3x +4=y, and that has a y-intercept of -10.
What is y=(1/3)x -10 or y=x/3-10
What property is used to make a statement like AB=AB in a proof?
What is the reflexive property
The midsegment of a triangle is 6x, the third side (base) is 10x + 24, find the length of the midsegment and the third side.
What is 72 and 144.