Name: ___________________________________________ Geometry Due: Friday October 23, 2009
Maintenance Sheet #4 Ms. Bramanti
1. What is the value of x in the equation 2. The measures of two 6( x − 2) = 36 − 10 x ? complementary angles are ( 3 x + 15 ) ( 2 x − 10 ). represented by and What is the value of x? (1) -6 (3) 3 (2) 1.5 (4) 6 (1) 17 (3) 35 (2) 19 (4) 37
3. If the measures, in degrees, of the 4. The accompanying diagram shows three angles of a triangle are x, x + 10, intersecting lines and m. Solve for and 2 x − 6, the triangle must be the value of x? (1) isosceles (2) equilateral
(3) right (4) scalene
5. What is the negation of the statement 6. "Squares are parallelograms"?
Which
equivalent
statement to
"If
I
is am
logically in
a
mathematics class, then I am having (1) Parallelograms are squares.
fun"?
(2) Parallelograms are not squares.
(1) If I am not in a mathematics class,
(3) It is not the case that squares are then I am not having fun. parallelograms.
(2) If I am having fun, then I am in a
(4) It is not the case that parallelograms are mathematics class. squares.
(3) If I am not having fun, then I am not in a mathematics class. (4) If I am in a mathematics class,
then I am not having fun.
7. What
is
the
converse
of
the 8. If 2(x + 3) = x + 10, then x equals
statement "If Alicia goes to Albany, then Ben goes to Buffalo"? (1) If Alicia does not go to Albany, then Ben does not go to Buffalo. (2) Alicia goes to Albany if and only if Ben goes to Buffalo. (3) If Ben goes to Buffalo, then Alicia goes to Albany. (4) If Ben does not go to Buffalo, then Alicia does not go to Albany.
(1) 14 (2) 7
(3) 5 (4) 4
9. Which set of numbers could be the 10. The expression lengths of the sides of a right (1) 5 2 triangle? (2) 5 10 (1) {10,24,26} (3) {3,4,6} (2) {12,16,30} (4) {4,7,8}
50 can be simplified to (3) 2 25 (4) 25 2