WorksheetsUnit 1 Geometry reasoning
Total questions: 21
Worksheet time: 24mins
If Sally goes to the park, then she will fall off the swing.
When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.
if
then
if and only if
always
Select the conditional statement of the biconditional statement.
Points are collinear if and only if they all lie in one line.
If collinear points lie in one line, then they are a line.
If points all lie in one line, then they are collinear.
Collinear points lie in one line.
If points are collinear, then they all lie in one line.
Which of the following is true about the conditional statement below?
If you are flying, then you are in a
jet.
Hypothesis: you are flying
Conclusion: you are in a
jet
Hypothesis: IF you are flying
Conclusion: THEN you are in a
jet
Hypothesis: THEN you are in a
jet
Conclusion: IF you are flying
Hypothesis: you are in a
jet
Conclusion: you are flying
Which of the following is the BICONDITIONAL of the statement below?
If it is water, then it is wet.
If it is not wet, then it is not water.
If it is wet, then it is water.
It is water if and only if (iff) it is wet.
There is no biconditional statement.
Which of the following is a valid conditional statement for the following phrase:
An acute angle has a measure less than 90°.
If an angle is acute, then it has a measure less than 90°.
If an angle is not acute, then it does not have a measure less than 90°.
If an angle is acute, then it is acute.
If an angle does not measure less than 90°, then it is not acute.
A concluding statement reached using inductive reasoning is called a _______
compound statement
conjecture
condition
counterexample
Which of the following is a counterexample to the following conjecture? If x2 = 4 , then x = 2
x = 4
x = -2
x = 2
x = -4
A, D, G, J, _____
All numbers that are divisible by 2 are divisible by 4
A type of reasoning that uses general facts, definitions, and accepted properties in a logical order to write a logical argument.
Inductive
Deductive
Logic
Reasoning
The sum of the interior angle of a square is 360.
The sum of the interior angle of a rectangle is 360.
The sum of the interior angle of parallelogram is 360.
The sum of the interior angle of a rhombus is 360.
What is the possible conclusion base on the given information?
The sum of the exterior angles of a quadrilateral is 360.
The sum of the interior angles is 360.
The sum of the interior angles of a quadrilateral is 360.
The interior angle of a quadrilateral is 360.
Which of the following provide a counterexample to the claim:
"If two angles are supplementary, then they are not congruent."
40° and 140°
80° and 80°
30° and 150°
90° and 90°
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
What is a counterexample?
A generalism that cannot be applied to a specific case
A specific case that help to prove a conjecture
A general case that is supported by specific examples
A specific case for which a conjecture is false
Provide a counterexample to the following claim:
"All quadrilaterals have at least one set of parallel sides."
Trapezoid
Rectangle
Rhombus
Kite
Provide a counterexample to the following claim:
"If a shape has four congruent sides, then it is a square."
(a)
