Download Geometry Agenda - Ms. Hancock`s Math Page

Name__________________________
Period ______
Geometry Agenda
Week 5.7
Monday
April 4, 2016
Tuesday
April 5, 2016
Objective
Angle Relationships in
Circles / Quiz
Practice
Segment Relationships in
Circles
Practice
Wednesday
Spherical Geometry
April 6, 2016
Practice
Thursday
Review
April 7, 2016
Study!!!
Friday
Circles Test
April 8, 2016
Stamp Grade
Relax 
First Things First
Average __________
Warm Up
Monday
Tuesday
Wednesday
Thursday
Friday
Geometry: Unit 11 – Segment Relationships in Circles
Practice – Segment Relationships in Circles
Name _____________________________
Pages 505-510
Date ____________ Period _______
Find the value of x in each circle.
1.
x
2.
8
5
4
•
15
6
6
x
3.
4.
x
•
x
•
9
3
4
8
7
5.
6.
14
x
21
12
•
8
6
7.
x
8.
x
10
12
8
19
•
4
5
x
9. Molokini is a small, crescent-shaped island 2
1
miles from the Maui coast. It is all that remains of an
2
extinct volcano. What is the approximate diameter of the volcano’s mouth to the nearest foot?
Geometry: Unit 11 – Segment Relationships in Circles
10. If AQ = 10, QB = 6, and QD = 15, find CD.
D
C
Q
A
B
11. M is the midpoint of PQ .
RM = 10 cm and PQ = 24 cm
A. Find MS.
B. Find the diameter of
12. M is the midpoint of PQ .
Diameter of is O 13m & RM = 4m
A. Find PM.
O.
B. Find PQ.
Find the value of both variables in each figure.
13.
14.
15. The two solutions show how to find the value of x. Which solution is incorrect? Explain the error.
Spherical Geometry Student Practice
Classify each set of measures as the angle measure of a triangle in Euclidean
geometry, a triangle in spherical geometry, or neither.
1.
28, 28, 118
2. 68, 45, 67
3. 55, 103, 61
For #4 – 5, explain how each property of spherical geometry compares to
what is true in Euclidean geometry.
4. There are pairs of points on a sphere through which you can draw
more than one line.
5. A triangle can have two obtuse angles.
6. The figure at right appears to show parallel lines on a sphere. Explain
why this is not the case.
7. Which of the following statements is true in spherical geometry?
a. A triangle can have at most one right angle.
b. Through any two points there is exactly one line.
c. Two perpendicular lines form eight 90 degree angles.
d. All equilateral triangles have three angles measuring 60.
Geometry
Review: Circles
Name _____________________________
Date __________
Period_____
1. Identify all of the following:
E
•
Secant:_________
D
•
Tangent:_________
Semicircle:_________
C•
Chord:_________
•A
•F
Major Arc:_________
Minor Arc:_________
•B
Diameter:_________
Radius:_________
Central Angle:_________
Inscribed Angle:_________
A.
2.
B. In the diagram, each line segment is tangent to R . Find the perimeter of XYZ .
X
A
5
Z
•
2
6
•R
•C
4
8
•
B
Y
3. AC is tangent to
E and
D . If AE = 18, BD = 6, and BC = 7, find AB.
A
•
•B
•D
•
•
E
4. Find the center and radius of
A that has an equation of
 x  5
2
  y  3   49 .
2
•C
5. Find the value of x. Round answer to the nearest hundredth.
•B
x
C•
D•
•A
3
24
6. Find the length of LM if the measure of the arc of LM is 60 degrees.
Leave your answer in terms of  .
•
6 ft
•L
M
7. Find the area of sector QRS. Round your answer to the nearest tenth.
8. WX  YZ . Find mWX .
(7x - 12)
X
W
Y
(4x + 3)o
9. Find mCB .
F
B
C
60o P
A
D
Z
10. Find AB.
4m
A
B
6m
•
11. AB and AC are tangent to
A
7y + 4
P . Find AB.
B
•P
15y
C
12. Given
O , solve for x.
C
(2x + 10)o
A
•
B
13. Find the value of x.
•
x°
(
•
220°
14. Find the value of x.
•
C
B
•
A
•
25°
120°
•D
x
•
E
15. Find the value of x.
140°
A
•
x
•B
•C
•
D
100°
16. Find m1.
•
1
60°
•
•
210°
17. Find the value of x.
K•
•M 3 •J
•N 5
x
L•
4