Point D is in the interior of <ABC. If m<ABD = 30 and m<ABC = 100, what is m<DBC?
70 degrees
This formula gives us...
Midpoint.
Inductive Reasoning tells us the # of triangles at step 5 is...
12 triangles.
Write as a conditional statement.
It has feathers if it is a bird.
If it is a bird, then it has feathers.
What conclusion can you make using the Law of Detachment?
If it snows tonight, then I will go skiing.
It snows tonight.
I will go skiing.
BC = 64
This formula gives us...
Distance between two points (x1,y1) and (x2, y2).
Length of a segment with endpoints
(x1,y1) and (x2, y2).
Give a counterexample to the claim...
"Squaring any number will always equal a positive number."
The number 0 --> 02 = 0*0 = 0. Note that 0 is not positive.
A conditional statement is given:
"If x=7, then x2 = 49."
What is the truth value of this statement?True.
What conclusion can I make using the Law of Detachment?
If I don't do my homework, then I will get grounded.
I get grounded.
No conclusion can be made.
Point D is in the interior of <ABC. If m<ABD and m<DBC are congruent and m<ABC = 102, what is m<ABD?
51 degrees
Find the midpoint of this segment.
M = (1, 2)
The 6th number in this pattern is...
400, 200, 100, 50, ___, ___ ...
12.5
Given the conditional statement:
"If it's an even number, then it's divisible by 2."
State the contrapositive.
"If it's not divisible by 2, then it's not an even number."
If a shape has three sides, then it is a triangle. If a shape is a triangle, then its angles add to 180 degrees.
If a shape has three sides, then its angles add to 180 degrees.
If AC = 240, then BC= ___?
BC = 120
What is the length of the segment?
The length is
sqrt(16+9)= sqrt(25) = 5.
Give a counterexample to the claim...
"If it has at most 4 sides, then it is a square."
A triangle has 3 sides (<4) and is not a square.
Given the statement:
"If 3x+2=17, then x=5."
State the converse.
If x=5, then 3x+2 = 17.
What conclusion can be made using the law of syllogism?
If we get a snow day, then I will go sledding. If it snows 12 inches, then we get a snow day.
If it snows 12 inches, then we get a snow day.
If EM=15cm, then SA=...
If m∠S = 105o, then m∠M=...
SA = 15cm
m∠M = 105o
Given the midpoint and the endpoint in the following image, determine the coordinates of Q.
Q(12, 8)
Determine the 5th and 6th values in the pattern below.
1, -4, 16, -64, __, __
5th is 256
6th is -1024
What are the two conditionals in the biconditional?
An angle is acute if and only if it measures less than 90 degrees.
If an angle is acute, then it measures less than 90 degrees.
If an angle measures less than 90 degrees, then it is acute.
What conclusion can be made with the law of detachment?
If we win the basketball game, then we will qualify for the state tournament. If I make this basket, then we will win the basketball game.
If I make this basket, then we will qualify for the state tournament.