1. what is the contrapositive of the following statement?
if two triangles are congruent, then their corresponding angles are congruent.
a if two triangles are not congruent, then their corresponding angles are not congruent.
b if the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
c if two triangles are congruent, then their corresponding angles are congruent. d if the corresponding angles of two triangles are congruent, then the triangles are congruent.
2. what is the inverse of the following statement? if ∆abc is equilateral, then it is isosceles.
a if ∆abc is not isosceles, then it is not equilateral.
b if ∆abc is isosceles, then it is equilateral.
c if ∆abc is not equilateral, then it is not isosceles.
d if ∆abc is equilateral, then it is isosceles.
3. what is the converse of the following statement? if you live in toronto, then you live in canada.
a if you live in toronto, then you live in canada.
b if you live in canada, then you live in toronto.
c if you do not live in toronto, then you do not live in canada.
d if you do not live in canada, then you do not live in toronto.
4. what is the negation of the following statement? a triangle cannot contain two right angles.
a a triangle can contain two right angles.
b a triangle does not contain two right angles.
5. what is the contrapositive of the following statement? if you live in toronto, then you live in canada.
a if you live in canada, then you live in toronto.
b if you do not live in canada, then you do not live in toronto.
c if you live in toronto, then you live in canada.
d if you do not live in toronto, then you do not live in canada.
6. what is the negation of the following statement? m∠a is greater than 90. m∠a is less than or equal to 90.
a m∠a is not less than 90.
7. what is the converse of the following statement? if a triangle has three congruent angles, then it is an equiangular triangle.
a if a triangle is not equiangular, then it does not have three congruent angles. b if a triangle has three congruent angles, then it is an equiangular triangle.
c if a triangle is equiangular, then it has three congruent angles.
d if a triangle does not have three congruent angles, then it is not an equiangular triangle.
8. what is the converse of the following statement? if m is the midpoint of , then is congruent to .
a if m is the midpoint of , then is congruent to .
b if m is not the midpoint of , then is not congruent to .
c if is not congruent to , then m is not the midpoint of .
d if is congruent to , then m is the midpoint of .
9. what is the negation of the following statement? at least one angle is acute. at least one angle is not acute.
a none of the angles are acute.
10. what is the converse of the following statement? if ∆abc is equilateral, then it is isosceles.
a if ∆abc is not isosceles, then it is not equilateral.
b if ∆abc is not equilateral, then it is not isosceles.
c if ∆abc is equilateral, then it is isosceles.
d if ∆abc is isosceles, then it is equilateral.