truth values
False. If two angles are complementary, then their sum equals 90 degrees..
Determine if the given conjecture is true or false.
If false give a counterexample.
"If two angles are complementary, then they are equal."
Which reason justifies the given statement.
“If AB + BC = AC, and BC = RS,
then AB + RS = AC”
substitution
Write the inverse
"If a number is not divisible by 2, then it is odd."
If a number is not odd, then the number is divisible by 2.
Given R is the midpoint of segments QS.
QR =4x+12, QS =6x -8
Prove QR =52
Draw a diagram to represent the situation.
see drawing
Find the distance between two points.(-3, 5) and (3,4)
d=6.08
Which reason justifies the statement?
If angle A and angle b are supplementary, then m<A+m<B =180.
Definition of Supplementary Angles
Write the hypothesis
"If a number is not divisible by 2, then it is odd."
a number is not divisible by 2
Write the contrapositive
"If a number is not divisible by 2, then it is odd."
If a number is not odd, then the number is divisible by 2.
Tell me a math joke
Listen to student tell the joke.
Find the midpoint between the(1, -1) and (-6, -9)
(-2.5, -5)
Write the inverse of the given conditional statement. "If two angles are vertical, then they are congruent"
If two angles are not vertical, they they are not congruent.
Write the conclusion
"If a number is not divisible by 2, then it is odd."
the number is odd
Write the converse
"If a number is divisible by 2, then it is odd."
If the number is odd, then a number is not divisible by 2
-4+5 =
1
Find an endpoint given the midpoint (-5, 8) and one of the endpoints (3,5)
(-13, 11)
Which reason justifies the given statement.
If AB ≅ CD then CD ≅ AB
symmetric property
Write the converse
"If a number is not divisible by 2, then it is odd."
If a number is odd, then the number is not divisible by 2.
Given <AED and CEB are vertical. What can you say about their measures.
<AED = < CEB
Solve for x
5x-6=19
x=3
What is the square root of 36
6
Given the conditional statement, what is the relationship of the new statement?
Conditional Statement:
“If a polygon has three sides, then it is a triangle.”
New Statement:
“If a polygon is not a triangle, then it does not have three sides.”
The statement does not represent the inverse, converse, or contrapositive.
2. Contrapositive
Which property is used in the following statement?
If 2(x-2)=5x +5, then 2x-4=5x+5
Distributive Property
Given R is the midpoint of segments QS.
QR =4x+12, QS =6x -8
Prove QR =52
Draw a diagram to represent the situation.
see drawing
-8+-9 =
What property is being used here.
If 5x=15, then x =3
division