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WorksheetsGeom Quiz 2-1
Total questions: 25
Worksheet time: 34mins
the statement formed by negating both the hypothesis and conclusion
biconditional
conjecture
contrapositive
converse
the statement formed by exchanging the hypothesis and the conclusion of a statement
biconditional
conjecture
contrapositive
converse
the conjunction(combination) of a conditional statement and its converse; an if and only if statement
biconditional
conjecture
contrapositive
converse
If something is an angle, then it is acute. What is an appropriate counter-example?
70⁰
45⁰
120⁰
True. There is no counterexample.
Which of the following statements is the inverse of
"If you do not understand geometry, then you do not know how to reason deductively."?
If you reason deductively, then you understand geometry.
If you understand geometry, then you reason deductively.
If the do not reason deductively, then you understand geometry.
If you understand geometry, then you do not know how to reason deductively.
Which of the following statements is the contrapositive of
"If you understand logic, you will be a good consumer."?
If you are a good consumer, then you understand logic.
If you are not a good consumer, then you do not understand logic.
If you do not understand logic, then you will not be a good consumer.
If you understand logic, you will not be a good consumer.
What is this? ¿Que es esto?
Conditional statement Enunciado condicional
Inverse Inversa
Converse Conversa
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS! ESTA ES UNA CLASE DE GEOMETRIA !!! ¡DAME NÚMEROS!
What is q → p? ¿Qué es q → p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
What is ~p → ~q? ¿Qué es ~ p → ~ q?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
What is ~q → ~p? ¿Qué es ~ q → ~ p?
conditional enunciado
converse conversa
inverse inversa
contrapositive contrapositiva
Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.
If the measures of the angles are equal, then the angles are congruent.
"If angles are not congruent, then the measures of the angles are not equal."
If the measures of the angles are not equal, then the angles are not congruent.
If the angles are not congruent, then the measure of the angles are equal.
What is the converse of the statement:
If you play a guitar, then you play a stringed instrument.
If you do not play a guitar, then you do not play a stringed instrument.
You play a guitar if and only if you play a stringed instrument.
If you play a stringed instrument, then you play a guitar.
If you do not play a stringed instrument, then you do not play a guitar.
What is the inverse of the statement:
If you play a guitar, then you play a stringed instrument.
If you do not play a guitar, then you do not play a stringed instrument.
You play a guitar if and only if you play a stringed instrument.
If you play a stringed instrument, then you play a guitar.
If you do not play a stringed instrument, then you do not play a guitar.
What is the contrapositive of the statement:
If you play a guitar, then you play a stringed instrument.
If you do not play a guitar, then you do not play a stringed instrument.
You play a guitar if and only if you play a stringed instrument.
If you play a stringed instrument, then you play a guitar.
If you do not play a stringed instrument, then you do not play a guitar.
What is the biconditional of the statement:
If you play a guitar, then you play a stringed instrument.
If you do not play a guitar, then you do not play a stringed instrument.
You play a guitar if and only if you play a stringed instrument.
If you play a stringed instrument, then you play a guitar.
If you do not play a stringed instrument, then you do not play a guitar.
What is the inverse of the conditional statement?
“If not q, then not p."
“If q, then p.”
"If not p, then not q."
"p if and only if q"
What is the converse of the conditional statement?
“If not q, then not p."
“If q, then p.”
"If not p, then not q."
"p if and only if q"
What is a biconditional statement?
A statement that can be written in the form “p if and only if q.”
The part of a conditional statement following the word then.
The part of a conditional statement following the word if.
A statement that can be written “if p then q.”
What is the contrapositive of the conditional statement?
“If not q, then not p."
“If q, then p.”
"If not p, then not q."
"p if and only if q"
What is a counterexample?
The process of reasoning using observations and patterns.
An example that proves that a conjecture or statement is false.
The process of reasoning logically and drawing a conclusion from given facts and statements.
or
therefore
not
and
therefore
or
and
not
not
therefore
and
or
