Geometry Name AK Segment & Angle Addition

Refer to the figure and the given information to find each measure.

1. Given : RV = 28, RS = 22, SM = 15

SV = _6_____ RM = __7____ MV = _21______


2. Given the figure and DG = 60 ft.

A.  Solve for x. 7

B.  Find the length of segments DO and OG.

DO =25 OG=35

C is between A and E. For each problem, draw a picture representing the three points and the information given. Solve for indicated length.

3. If AC = 24 in. and CE = 13 in., AE = __37_____. 4. If CE = 7in. and AE = 23 in., AC = 16.

Use the number line to find the indicated distance.

5. AB = 3 6. BD = 6 7. CE = 6 8. DE = 2

Find the indicated length.

9. Find AC 60

If U is between T and B, find the value of x and the measure of . (Hint: Draw a picture for each problem with the given information and then write the equation to solve.

10. TU = 2x, UB = 3x + 1, 11. TU = 4x-1, UB = 2x -1, 12. TU = 1-x, UB = 4x+17,

TB = 21 TB = 5x TB = -3x

X = 4 X=2 X=-3

TU = 8 TU=7 TU=4

13. Two segments are congruent if their lengths are equal. The symbol for congruent is .

If , CD = 9in, BC = 5x, and AD = 53 in. , find BC.

BC=7

Use the given information to find the indicated angle measure.

14. Given , find. 15. Given, find.

M<CBD=25 M<QSR=85

16. Find if . 17. Find if . 14

30

18. Find x if . X=9 19. Find n if . N=11