Honors Geometry



Honors Geometry Name: ________________________________

Practice Worksheet

Section 5.5-5.7

A

Use the given information and figure to compare the requested parts. 4 3

_________________1. If BD = DC and m[pic]1 > m[pic]2, compare AB and AC.

_________________2. If AB = AC and m[pic]3 > m[pic]4, compare CD and BD.

_________________3. If m[pic]2 = m[pic]1 and CD > BD, compare m[pic]3 and m[pic]4

_________________4. If AD = BD, compare BD+DC and AC 2 1

B D C

_________________5. If AD is a median and AB < AC, compare m[pic]2 and m[pic]1

6.Arrange the sides of [pic]MLK in order from longest to shortest if m[pic]K = 2x-10, m[pic]L = x + 20 and

m[pic]M = 2x + 25. Show work!

7. Order the sides from least to greatest: 8. Write an inequality for x:

W X x+2

70 64 83 58o

35 x+2 x+2 2x-8

Z

Y x+2

9. Two sides of a triangle measure 100. What are the possible values for the third side? Explain why only these measures would work.

10. Determine which set of numbers can be the side lengths of a triangle. How do you know?

A) 5, 7, 13

B) 10, 2, 3

C) 8, 5, 13

D) 7, 12, 15

Fill in an equality or inequality symbol: a

11. m [pic]5______m[pic]6 12. a _______b

8m

20m c_______b 9 c b

75o 46o

6 9

20m 9m

Name the longest segment: 15. Compare m[pic]C and m[pic]A:

13. A B

59o 60o

D C

16. Name the shortest segment: 17. Write an inequality to determine what the

perimeter of this figure could be.

18. In [pic]ABC, AB = x, BC = x + 2 19. Is it possible to draw a triangle with side lengths 4.7,

AC = x + 5. Name the smallest angle. 8, and 3.2?

Write an indirect proof.

20. Given: right (ABC Step 1:

Prove: m(B + m(C = 90

Step 2:

Step 3:

21. Given: m(XCD = 30, m(BCX = 60, (XCD ( (XBC

Prove: [pic] Step 1:

Step 2:

Step 3:

-----------------------

6

A

C

D

B

7

9

7

7

8

A

B

D

C

30

30

7

8

3

5

5

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