Chapters 5

1
Chapters 5 2 5 - 4
DNA

• Inequalities and Triangles
• pp. 280 287 296 - 301

2
5Min 2-2
(over Lesson 5-1)
In the figure, A is the point of concurrency of
the perpendicular bisectors of ?LMN. Find x if
m?APM 7x 13.
A. 23.86 B. 21 C. 11 D. 8.86
3
5Min 2-4
(over Lesson 5-1)
A. 63 B. 27 C. 12 D. 9
4
5Min 2-5
(over Lesson 5-1)
A. 4 B. 24 C. 27 D. 63
5
5Min 2-6
(over Lesson 5-1)
Which congruence statement is true if P is the
circumcenter of ?WXY?

1. A
2. B
3. C
4. D

6
Exterior Angle Inequality Theorem If an angle is
an exterior of a , then its measure
gt the measure of either of its corresponding
remote interior .
7
Lesson 2 Ex2
Exterior Angles
8
Lesson 2 CYP2

1. A
2. B
3. C
4. D

9
Lesson 2 CYP2

1. A
2. B
3. C
4. D

10
B
Side length
2 in.
1.7 in.
A
C
1 in.
11
B
Theorem 5.9 If one side of a triangle is longer
than another side, then the angle opposite the
longer side has a greater measure than the angle
opposite the shorter side.
2 in.
1.7 in.
A
C
1 in.
12
B
Theorem 5.10 If one angle of a triangle has a
greater measure than another angle, then the side
opposite the greater angle is longer than the
side opposite the lesser angle.
2 in.
1.7 in.
A
C
1 in.
13
Lesson 2 Ex3
Side-Angle Relationships
A. Determine the relationship between the
measures of ?RSU and ?SUR.
14
Lesson 2 Ex3
Side-Angle Relationships
B. Determine the relationship between the
measures of ?TSV and ?STV.
15
Lesson 2 CYP3

1. A
2. B
3. C
4. D

16
Lesson 2 CYP3

1. A
2. B
3. C
4. D

A. m?AED lt m?EAD B. m?AED m?EAD C. m?AED gt
m?EAD D. cannot be determined
17
Lesson 2 CYP3

1. A
2. B
3. C
4. D

A. m?EAB lt m?EDB B. m?EAB m?EDB C. m?EAB gt
m?EDB D. cannot be determined
18
Triangle Inequality
B
2 in.
1.7 in.
A
C
1 in.
19
Triangle Inequality Theorem The sum of the
lengths of any two sides of a triangle is greater
than the length of the 3rd side.
20
Lesson 4 Ex1
Identify Sides of a Triangle
Answer Because the sum of two measures is not
greater than the length of the third side, the
sides cannot form a triangle.
21
Lesson 4 Ex1
Identify Sides of a Triangle
B. Determine whether the measures 6.8, 7.2, and
5.1 can be lengths of the sides of a triangle.
Check each inequality.
?
?
?
Answer All of the inequalities are true, so
6.8, 7.2, and 5.1 can be the lengths of the sides
of a triangle.
22
Lesson 4 CYP1
A. Determine whether 6, 9, 16 can be lengths of
the sides of a triangle.
A. yes B. no C. cannot be determined

1. A
2. B
3. C

23
Lesson 4 CYP1
B. Determine whether 14, 16, 27 can be lengths of
the sides of a triangle.
A. yes B. no C. cannot be determined

1. A
2. B
3. C

24
Lesson 4 Ex2
Determine Possible Side Lengths
In ?PQR, PQ 7.2 and QR 5.2. Which measure
cannot be PR? A 7 B 9 C 11 D 13
25
Lesson 4 Ex2
Determine Possible Side Lengths
Read the Item
You need to determine which value is not valid.
Solve the Item
Solve each inequality to determine the range of
values for PR.
26
Lesson 4 CYP2
In ?XYZ, XY 6, and YZ 9. Which measure cannot
be XZ?
A. 4 B. 9 C. 12 D. 16

1. A
2. B
3. C
4. D

27
Determine whether the given coordinates are the
vertices of a triangle. Explain.
1 (-2) -2 (-2)
34gt5 45gt3 53gt4 Yes
-2 (-2) 2 (-2)
-2 1 2 (-2)
28
Homework Textbook pp. 284 287, problems 1 9
and 28 32 even pp. 299 300, Problems 1 5, 8
18 even, and 23 26.
29

• Textbook pp. 284 287,
• problems 1 9 and 28 32 even

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pp. 299 300, 1 5, 8 18 even, and 23 26
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36
ALGEBRA Determine whether the given coordinates
of the vertices of a triangle. Explain.