Postulates & Theorems - chapter 1

Question 1

Through any 2 points there is ….

Answer 1

exactly 1 line. (post. 1-1-1)

Question 2

Through any 3 noncollinear points there is ….

Answer 2

exactly 1 plane containing them. (post. 1-1-2)

Question 3

If 2 points lie in a plane, then the line containing those points ….

Answer 3

lies in the plane. (post. 1-1-3)

Question 4

If 2 lines intersect, then they intersect in ….

Answer 4

exactly 1 point. (post. 1-1-4)

Question 5

If 2 planes intersect, then they intersect in ….

Answer 5

exactly 1 line. (post. 1-1-5)

Question 6

RULER POSTULATE: The points on a line can be put in a one-to-one correspondence with the ….

Answer 6

real numbers. (post. 1-2-1)

Question 7

SEGMENT ADDITION POSTULATE: If point B is between points A and C, then ….

Answer 7

AB + BC = AC. (post 1-2-2)

Question 8

PROTRACTOR POSTULATE: Given line AB and a point O on the line, all rays that can be drawn from O can be put in a one-to-one correspondence the ….

Answer 8

real numbers from 0 to 180. (post. 1-3-1)

Question 9

ANGLE ADDITION POSTULATE: If point S is in the interior of angle PQR, then ….

Answer 9

mPQS + mSQR = mPQR. (post. 1-3-2)

Question 10

PYTHAGOREAN THEOREM: In a right triangle, the sum of the squares of the lengths of the legs is equal to ….

Answer 10

the square of the length of the hypotenuse. (post. 1-6-1)