
Triangle Inequality Theorem and Triangle Sum
Presentation
•
Mathematics
•
10th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 23 Questions
1
More Triangle Theorem Stuff
Dr. Tom Giles
2
Additional Triangle Theorems
Triangle Inequality Theorem
Ordering Angles & Sides of a Triangle
Exterior Angle Inequality Theorem
CPCTC
3
Triangle Inequality Theorem
The sum of any two sides of a triangle is greater than or equal to the third side
4
Multiple Choice
State if the three numbers can be measures of the sides of a triangle.
10,18,12
Yes
No
5
Multiple Choice
State if the three numbers can be measures of the sides of a triangle.
8,10,20
Yes
No
6
Multiple Choice
State if the three numbers can be measures of the sides of a triangle.
18,7,10
Yes
No
7
Multiple Choice
State if the three numbers can be measures of the sides of a triangle.
11,1,12
Yes
No
8
Multiple Choice
Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
12,12
1<x<24
4<x<24
4<x<23
0<x<24
9
Multiple Choice
Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
9,6
5<x<14
3<x<15
3<x<14
4<x<14
10
Multiple Choice
11
Ordering Sides & Angles of Triangles
12
Multiple Choice
13
Multiple Choice
14
Multiple Choice
15
Multiple Choice
16
Multiple Choice
17
Multiple Choice
18
Multiple Choice
19
Multiple Choice
20
Multiple Choice
21
Multiple Choice
22
Exterior Angle Inequality Theorem
The measure of any exterior angle of a triangle is greater than both of the non-adjacent interior angles
23
Multiple Choice
Which of ∠2, ∠4, and ∠6 has the largest measure?
∠2
∠4
∠6
24
Multiple Choice
Which of ∠4, ∠5, and ∠1 has the largest measure?
∠4
∠5
∠1
25
Multiple Choice
Which of ∠1, ∠7, and ∠2 has the largest measure?
∠1
∠7
∠2
26
Multiple Choice
Using the figure, choose the correct symbol to be used.
∠7 _____ ∠2
<
>
=
27
Multiple Choice
Using the figure, choose the correct symbol to be used.
∠6 _____ ∠8
<
>
=
28
Multiple Choice
Using the figure, choose the correct symbol to be used.
∠4 _____ ∠8
<
>
=
29
CPCTC
Corresponding Parts of Congruent Triangles are Congruent
If two triangles are congruent, then all corresponding sides & angles of those triangles are congruent to each other.
30
Whadda Ya Think?
More Triangle Theorem Stuff
Dr. Tom Giles
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