Chapter 1

Question 1

6 Distance between two points

Answer 1

sqrt( [ x2 - x1 ] ^2 + [ y2 - y1 ] ^2)

Question 2

6 Midpoint

Answer 2

( (x1 + x2)/2 , (y1 + y2)/2 )

Question 3

7 Scale factor

Answer 3

x = x1 + SF (x2 - x1)
y = y1 + SF (y2 - y1)

Question 4

8 conditional

Answer 4

p q

Question 5

8 converse

Answer 5

q p

Question 6

8 negation

Answer 6

-p or -q

Question 7

8 inverse

Answer 7

-p -q

Question 8

8 contrapositive

Answer 8

-q -p

Question 9

9 law of detachment

Answer 9

if pq and p is true, then q is true

Question 10

9 law of syllogism

Answer 10

if pq and qr is true, then pr is true

Question 11

10 vertical angles theorem

Answer 11

if angles are vertical, then they are congruent

Question 12

11 congruent supplements theorem

Answer 12

if 2 angles are supplementary to the 3rd, then they are congruent

Question 13

12 congruent complements theorem

Answer 13

if 2 angles are complementary to the 3rd, then they are congruent

Question 14

13 right angles are congruent

Answer 14

all right angles are congruent

Question 15

14 congruent and supplementary

Answer 15

if 2 angles are congruent and supplementary, they are each right angles

Question 16

15 linear pairs theorem

Answer 16

the sum of measures of linear pair is 180

Question 17

16 indirect proof by contradiction

Answer 17

p -q F
therefore p q T

Question 18

16 indirect proof by contrapositive

Answer 18

-q -p T
therefore p q T