Download Homework #45 ~ #63

HW46: 275(7,8,9,10)
Tell in each case whether the given
lengths can be the measures of the
sides of a triangle.
7. 2,2,3
9. 3,4,4,
8. 1,1,2
10. 5,8,11
HW50:525(3,4,5,6,7,8)
The coordinates of the endpoint of
the line AB are given. In each case,
find the exact value of AB in simplest
form.
3. A(1,2), B(4,6)
4. A(-1,-6), B(4,6)
5. A(3,-2), B(5,4)
6. A(0,2), B(3,-1)
7. A(1,2), B(3,4)
8. A(-5,2), B(1,-6)
HW51: 384(4,5,6,7,8)
4. The degree measure of <A is
represented by 2x - 20 and the
degree measure of <B by 2x. Find
the value of x, of m<A and of m<B.
5. The degree measure of <A is
represented by 2x + 10 and the
degree measure of <B by 3x. Find
the value of x, of m<A and of m<B
6. The measure of <A is 30 degrees
less than twice the measure of <B.
Find the measure of each angel of
the parallelogram.
7. The measure of <A is represented
by x + 44 and the measure of <C by
3x. Find th emeasure of each angel
of the parallelogram.
8. The measure of <B is represented
by 7x and m<D by 5x + 30. Find the
measure of each angle of the
parallelogram.
HW56:392(11,12,15a and b)
11. Write a coordinate proof of
Theorem 10.8, "All angles of a
rectangle are right angles." Let the
vertices of the rectangle be A(0,0),
B(b,0), C(b,c) and D(0,c).
12. Prove Theorem 10.9 "The
diagonals of a rectangle are
congruent."
15. The coordinates of the vertices of
ABCD are A(-2,0), B(2,-2), C(5,4),
and D(1,6).
a. Prove that ABCD is a rectangle
b. What are the coordinates of the
point of intersection of the
diagonals?
HW58:408(9,10,11,12,13,14)
Determine whether each statement
is true or false. Justify your answer
with an appropriate definition or
theorem, or draw a counterexample.
9. In an isosceles trapezoid,
nonparallel sides are congruent.
10. In a trapezoid, at most two sides
can be congruent.
11. In a trapezoid, the base angles
are always congruent.
12. The diagonals of a trapezoid are
congruent if and only if the
nonparallel sides of the trapezoid are
congruent.
13. The sum of the measures of the
angels of a trapezoid is 360 degrees.
14. In a trapezoid, there are always
two pairs of supplementary angles.
HW59:520(9,10,12,13)
9. Find, to the nearest tenth of a
centimeter, the length of a diagonal
of a square if the measure of one
side is 8 centimeters.
10. Find the length of the side of a
rhombus whose diagonals measure
40 centimeters and 96 centimeters.
12. The length of each side of a
rhombus is 13 feet. If the length of
the shorter diagonal is 10 feet, find
the length of the longer diagonal.
13. Find the length of the diagonal of
a rectangle whose sides measure 24
feet by 20 feet.
HW60:299(3,4,5,6,7,8)
Write the equation of each line.
3. Through (1, -2) and (5,10)
4. Through (0,-1) and (1,0)
5. Through (2,-2) and (0,6)
6. Slope 2 and through (-2, -4)
7. Slope -4 and through (1,1)
8. Slope -0.5 and through (5,4)
HW61:311(6,7,8,9,10)
a.Find the slope of the given line
b. Find the slope of the line
perpendicular to the given line.
6. 2x - y = 3
7. 3x = 5 - 2y
8. Through (1,1) and (5,3)
9. through (0,4) and (2,0)
10. y-intercept -2 and x-intercept 4
HW62:306(3,4,5,15,16,17)
Find the midpoint of the each
segment with the given endpoints.
3. (1,7) , (5,1)
4. (-2,5), (8,7)
5. (0,8) , (10,0)
M is the midpoint of the line AB. Find
the coordinates of the third point
when the coordinates of two of the
points are given.
15. A(2,7), M(1,6)
16. A(3,3), M(3,9)
17. A(4,7), M(5,5)
HW63: 311(21,22,23,24)
The coordinates of the endpoints of
a line segment are given. For each
segment, find the equation of the line
that is the perpendicular bisector of
the segment.
21. A(2,2), B(-1,1)
22. A (-0.5, 3), B(1.5, 1)
23. A(3,-9), B(3,9)
24. A(-4,-1), B(-4,-1), B(3, -3)