Vocabulary
Deductive or Inductive Reasoning
Angles
Line Segments
Conditional Statements
100
A two column proof is an example of _________
What is Deductive Reasoning
100
Angle LMN is an acute angle, so Angle LMN has a measure less than 90 degrees.
What is deductive reasoning.
100
If the top angle is =120 what do the angles to left and right equal to
What are 60 degrees
100
If a line equals 36 and the midpoint is at point m and am= 18 then find mb=?
18
100
4x+7=15 when x=2 Write the conditional statement
If x=2, then 4x+7=15
200
The statement "if a number is divisible by 2, then it is even" is an example of a _______________.
what is a conditional statement.
200
My last three tests were easier when I studied. Therefore, studying probably makes tests easier.
What is inductive Reasoning
200
Angle 1 and angle 2 are vertical angles find the measure of angle 1 if angle 2= 57
Angle 1=57
200
Line PQ = 39 and Line QR = 12 What is Line PR and are the two segments congruent
The line equals 51 and the two segments are not congruent
200
Write the Converse of. The dog gets a treat when it performs the trick.
If the dog performs the trick, then it gets a treat
300
Two angles that equal to 180 are called?
What are supplementary angles
300
The first four terms of a sequence are 3, 9, 27, and 81. A student concludes that the next term is probably 243.
Inductive Reasoning
300
Angles 1 and Angles 2 are supplementary same with angle 2 and angle 3 what is the measure of angles 1 and 2 if angle 3 equals 55 degrees
Angle 1 = 55 and Angle 2= 125
300
A line equals 72 and has a midpoint at point M with the line segments equal to 4x+8
x=7 and the segments equal to 36
300
Write the inverse of A scalene triangle is a triangle with three sides with different length
If a triange does not have three sides with different lengths, then it is not a scalene triangle
400
A statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement is the?
what is contrapositive
400
If two angles are supplementary, their measures add to 180°. ∠A and ∠B are supplementary, so m∠A + m∠B = 180°.
What is Deductive Reasoning
400
Angle 1 and angle 2 are vertical angles. the measure of Angle 1= (7x-8) the measure of angle 2= (5x+34) Find x
x=21
400
A line has two segments that equals 5x+23 and 9x+7 what is x and the length of the line.
x=4 and the line equals 86
400
Write the normal statement If there is perpendicular lines, then those lines intersect at a 90 degree angle
perpendicular lines are lines that intersect at a 90 degree angle.
500
A________ is a pair of adjacent angles whose noncommon sides are opposite rays.
Linear Pair
500
Every time a certain chemical is heated to 100°C, it boils. After testing it 50 times, a scientist concludes that this chemical always boils at 100°C.
What is Inductive Reasoning
500
Angle 1 and 2 are supplementary Angle 2 and 3 are supplementary. angle 2 and 4 are verticle angles find angle 1, 2, and 3. If angle 4= 148 degrees
Angle 1=32 Angle 2= 148 and angle 3=32
500
Line AC equals 32 segment AB is 16 prove segment AB is congruent to BC
AC=32, AB=16 Given
AB+BC=AC Segment Addition Postulate 16+BC=32 Substitution
BC=32-16 Subtraction Property of Equality
BC=16 Simplify
AB is congruent to BC Definition of congruent segments
500
Write the Inverse, contrapositve, and converse of the statement. If you bought it from us, then you bought the best
If you did not buy the best, then you did not buy it from us.
If you did not buy it from us, then you did not buy the best.
If you bought the best, then you bought it from us.