Download CHAPTER ELEVEN TEST (From Text)

CHAPTER ELEVEN TEST (From Text)
1. Find the length and midpoint of the line segment formed by the
points (− 5, 4) and (− 1, − 6).
Length: 10.77 (or 116 or 2 29
Midpoint: (−3, −1)
2. Find the distance between (1, 1) and (x, x + 2); simplify as much
as possible. 2x2 + 2
3. Find the minimum distance from the point
(1, 1)
to the line y = x + 2 . 1.41 or 2
4. If (−1,2) is the endpoint of a line segment and (2,6) is the
midpoint of the segment, find the other endpoint of the line
segment.
(5, 10)
5. Can a triangle drawn in a plane have two right angles? Why? No because the some of all three
angles must
be 180°, not two angles – or something similar
6. What type of triangle is formed by joining the vertices at (0,2),
(3,0)
, and (0,0)?
A right triangle
7. If the vertex of an isosceles triangle is 10°, what are the base
angles? 85° each
8. If the base of a right isosceles triangle is 4 inches, how long are the
sides? 4 and 4 2
9. How long is the altitude of an equilateral triangle with sides of 6
feet? 27 or 3 3
10. Triangles ABC and A′B′C′ are similar; if
a= 2, b= 6, and a′= 1, find b′. 3
11. Find the area of a triangle with sides 5, 12, and 13. 30 square units
12. A rectangle has adjacent sides of 9 inches and 12 inches, how long
is the diagonal? 15 inches
13. Do the points (0,0), (5, 3), (5, 7), and (0, 3) when joined in
succession, form a parallelogram?
No
14. What is the measure of an angle formed by a diagonal and any side
of a square? 45°
15. What is the area of a parallelogram formed by joining the points
(0,0), (6,0), (8, 3), and (2, 3)
in succession, ending the figure
with the starting point?
18 square units
16. What is the radius and the center of the circle
(x−2)2 +(y+4)2 =36? Radius is 6 and the center is (2, −4)
17. What is the radius and center of the circle
x2+y2+6x−8y−11=0? Radius is 6 and the center is (−3, 4)
18. What is the symbolic representation of the circle with a center of
(−1,2)
and a diameter of 8?
(x +1)2 + (y − 2)2 =
16 or
x2 + 2x + y2 − 4y = 11
19. Is the line y = x a secant, tangent, or neither to the circle
(x−6)2 +(y−3)2 =4?
Neither
20. Find the circumference and area of circle
(x−32)2+(y+71)2 =16 . . .
Circumference = 8π units,
Area = 16π square units