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к
3. Find a.
E
A А
C
110°
B
-H
D
M
a
161°
T
4. Find b.
108°
1. In circle C, identify the following:
a) AB
b) ZDCA
c) AFB
b
2. In circle P, what is the measure of x?
74°
5.
The figure below shows a circle.
mZSRT = 58° and mZRST = 40° What is
the m RS?
х
OP
R
56°
589
T
40°
S
1
13. Sarah needs to plant grass seed in her
backyard. Briefly describe how to
calculate the amount of grass seed required.
15. A triangle has side lengths 7cm, 8cm, and
9cm. Find the area of the triangle.
Patio
Pool
Flowers
Sand
Box
Extra Credit: 10 points (no partial points)
14. Find the approximate area of the pentagon.
Triangles A and B are similar. Triangle A has a
hypotenuse of 13 cm and an area of 30 cm?.
Triangle B has an area of 180 cm², to the nearest
foot, find the hypotenuse of triangle B.
8
5
3
6. Circle Q has a radius of 17 cm. If chord
XP = 30 cm, find the length of QT.
9. Find the missing length indicated by a '?'.
P
6
7
?
х
24
10. Circle O has a radius of 4 inches. If the
= 120 degrees. To the nearest inch,
find the circumference of the circle.
т AB
1200
7.
Given mZNEG = 52°, rays TA and TL are
tangents, and segments SG and NL are
diameters, find mSL.
B
11. Given secants TO and TE, find me.
E/52*
5
R
50
0
38*
T
8. Chords AB and CD intersect at R. Using the
values shown in the diabram, what is the
measure of RB?
A
D
12. What is the area and perimeter of the
figure below?
A
2
4
R
5
C
16 in
B
10 in
13 in
2
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Explanation & Answer
Attached.
Running head: GEOMETRY
1
Geometry Homework
Student’s Name
Institutional Affiliation
GEOMETRY
2
Geometry Homework
1.
a) Diameter
b) Minor Sector
c) Right angle
- An angle inscribed in a semicircle is a right angle. (Thales Theorem.)
2.
a) Angle formed by two chords = ½ (Sum of intercepted arcs)
x = ½ (74 + 56) = 65
x = 65o
3.
m∠x
= ½ (m∠ABC)
= ½ (161)
= 80.5o
The opposite angles in a cyclic qu...
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