Download Geometry Worksheet 5

Geometry Worksheet 5.2
Inequalities and Triangles
Name _______________________
Per ___ Date _________________
1. Exterior Angle Inequality Theorem: The exterior angle of a triangle is _________
Than its two ____________ ___________ angles.
2. Angle-Side Relationships: The longest side of a triangle is ____________ from the
________________ in that triangle.
Determine which angle has the greatest measure:
3.
4.
4, 3, 1
4, 3, 1
1
3
2
5.
4, 3, 2
3
2
1
4
2
4
1
3
4
6.
7.
2, 5, 7
5
3
2
1
4
2, 4, 6
5
3
2
1
4
7
6
7
6
8.
7, 3, 1
5
3
2
1
4
7
6
9. Name all angles that measure less than m 1
7
10. Name all angles that measure greater than m 6
6
5
4
8
2
3
11. Name all angles that measure less than m 7
1
Determine if the angles are greater than (>), less than (<), or equal (=) to each other.
12. m ABD _____ m BAD
13. m ADB _____ m BAD
14. m BCD _____ m CDB
15. m WXY _____ m XYW
16. m XZY _____ m XYZ
17. m WYX _____ m XWY
Determine if the sides are greater than (>), less than (<), or equal (=) to each other.
18. LM _____ LP
19. MP _____ MN
20. NM _____ NP
21. AE _____ EB
22. CE _____ CD
23. BC _____ EC
24. All angles in a triangle add up to ____________________.
Use the fact from problem number 24 to solve the problems below. Find the value of n
and list the sides of PQR in order from longest to shortest.
25. n = _______________
26. n = _______________
27. n = _______________
m R  10n  2
m R  16n  2
m R  68  2n
_____, ______, ______
_____, ______, ______
_____, ______, ______
m P  9n  29, m Q  93  5n, m P  12n  9, m Q  62  3n, m P  9n  4, m Q  4n  16,
28. Find x if AD is a median of
29. Finish the proof:
ABC