Geometry Review Guide Answers 9/15

Geometry Chapter 1 Review Guide answers

Distance and Midpoint Review Problems

11.        See formula in notes

22.       square root of 130

33.       See formula in notes

44.       (-7.5 , 4.5)

55.          a.    square root of 109         b.   (2 , 3.5)                         c.  (-13, 8)

Segment and Angle Calculation Problems

2.    equations I used:  AB = 4x + 9;  BC = 5x + 2;  AC = 56

                X = 9 ;  AB = 45;  BC = 47

3.  equations I used:  AB = 2(x + 1);  BC = 3x + 1;  AC = 4(x + 2)

                X = 5;  AB = 12;  BC = 16;  AC = 28

4.  equations I used:  AT = 3x + 1;  TL = 15;  AL = 7x + 1

                X = 15 divided by 4   or   (3.75) ;  AT =  12.25;  TL = 15

12.  mÐTPS = 37^o ;  mÐRPS = 74^o

13.  mÐRPT = 48^o ;  mÐRPS = 96^o

14.  mÐRPS = 37.5^o ;  mÐTPS = 37.5^o

15.  equations I used:  5x -17  ;  3x – 14    ;    x = 3 divided by 2  (or 1.5)

16.  equations I used:   3x + 36  ;  9x – 14   ;   x = 25 divided by 3   (or 8.33)  

17.  equations I used:  ½ x + 24 ;   3x – 46  ;   x = 28

Practice Questions on Definitions and Postulates

11.        ÐTQR

22.       Ray TP

33.       ÐTQR

44.       Ray QT and ray QR

55.       ÐPTQ and ÐQTS

66.       Point R

77.       Point P

88.       Point Q

99.       True

110.   False

111.   True

112.   True

113.   False

114.   True

115.   True

116.   Sometimes

117.   Always

118.   Always

119.   Never

220.   Always