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identify the hypothesis and conclusion of the conditional statement
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hypothesis: it is raining
conclusion: it is cloudy
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Terms in this set (100)
identify the hypothesis and conclusion of the conditional statement
hypothesis: it is raining
conclusion: it is cloudy
write a conditional statement from the statement
a horse has four legs
if it is a horse, then it has four legs
determine if the conditional statement is true. if a figure has four sides, then it is a square
false; a rectangle has four sides, and it is not a square
write the converse, inverse, and contrapositive: if an animal is a bird, then it has two eyes
converse: if an animal has two eyes then it is a bird
inverse: if an animal is not a bird then it does not have two eyes
contrapositive: if an animal does not have two eyes then it is not a bird
write the conditional statement and converse within the biconditional: a rectangle is a square if and only if all four sides of the rectangle are equal length
conditional: if all four sides of the rectangle are equal length then it is a square
Converse: if a rectangle is a square then it's four sides are equal length
for the conditional statement write the converse and a biconditional statement: a figure is a square if and only if it is a rectangle
Converse if a squared plus B squared equals C squared than the figure is a right triangle with sides A B & C
biconditional: a figure is a right triangle with sides A B and C if and only if A squared plus B squared equals C squared
determine if the biconditional is true. if false give a counterexample: a figure is square if and only if it is a rectangle
The biconditional is false. A rectangle does not necessarily have four congruent sides
write the definition as a bike biconditional: an acute angle is an angle whose measure is less than 90°
an angle is acute if and only if it's measures less than 90°
solve the equation 4X -6 = 34
[1] addition property of equality
[2] division property of equality
write a justification for each step
[1] angle addition postulate
[2] division property of equality
identify the property that justifies the statement: AB is congruent to CD and CD is congruent to EF so AB is congruent to EF
transitive property of congruence
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write a justification for each step given that EG = FH
[1] segment addition postulate
[2] substitution property of equality
fill in the blanks to complete the two column proof.
given: angle one and angle two are supplementary the measurement of angle 1 = 135°
[1] measurement of angle one equals 135°
[2] definition of supplementary angles
[3] subtraction property of equality
use the given plan to write a two column proof:
given: measurement of angle one + measurement of angle two = 90°, measurement of angle 3+ measurement of angle four = 90°, measurement of angle two = measurement of angle three
[1] measurement of angle 3+ measurement of angle four = 90°
[2] substitution property
[3] subtraction property of equality
how many true conditional statements may be written using the following statements:
n is a rational number.
n is an integer
n is a whole number
three conditional statements