Segments and Angles
Midpoint and Distance
Inductive and Deductive Reasoning
Conditional and Biconditional Statements
100
This angle relationship means that the angles must add to 90 degrees.
Complementary angles.
100
State the distance formula.
d=sqrt((x_2-x_2)^2 -(y_2-y_1)^2)
100
What is the process of inductive reasoning?
Recognizing a pattern to form a conjecture.
100
Determine the hypothesis and conclusion.
If his students work hard, then Mr. Koch is happy.
Hypothesis - His students work hard.
Conclusion - Mr. Koch is happy.
200
This angle relationship means that the angles are next to eachother.
Adjacent angles.
200
State the midpoint formula.
m = ((x_2-x_1)/2 , (y_2-y_1)/2)
200
What is the process of deductive reasoning?
Using known facts, properties, and definitions to arrive at a conclusion.
200
Write the converse of the statement.
If his students work hard, then Mr. Koch is happy.
If Mr. Koch is happy, then his students work hard.
300
Find the complement of a 26 degree angle.
64 degrees.
300
Find the distance between the two points (-2,-1) and (3,5)
sqrt61
300
What is the next term in the pattern?
1/16 , 1/8 , 3/16, ...
1/4
300
Write the inverse of the statement.
If his students work hard, then Mr. Koch is happy.
If his students do not work hard, then Mr. Koch is not happy.
400
Find the value of x.
x = -1
400
Find the midpoint of the two points (-2,-1) and (3,5)
(0.5,2)
400
Mr. Koch is happy when he gets to hit students with dodgeballs. He got to hit Ethan and Koby with dodgeballs on Friday.
Mr. Koch was happy on Friday.
400
Write the contrapositive of the statement.
If his students work hard, then Mr. Koch is happy.
If Mr. Koch is not happy, then his students do not work hard.
500
In the diagram below, C is the midpoint of B and D. Also, AB = 25 and AD = 111. Find the distance from A to C.
68
500
Find the other endpoint if one endpoint of a segment is (2,2) and the midpoint is (4,-3).
(6,-8)
500
For any number x, we have that
x^3>x
False
500
Write a biconditional statement from the given definition.
A polygon is a four sided quadrilateral.
A polygon is a quadrilateral iff it has four sides.