postulate and theorem

Question 1

[p] through any 2 points….

Answer 1

there is exactly one line

Question 2

[p] if 2 lines intersect….

Answer 2

then they intersect in exactly one point

Question 3

[p] if 2 planes intersect…

Answer 3

then they intersect in exactly one line

Question 4

[p] through any 3 non-collinear point…

Answer 4

there is exactly one plane

Question 5

corresponding angles [p]

Answer 5

[p] if a transversal intersects 2 parallel lines, then corresponding angles are congruent

Question 6

alternate interior angles [t]

Answer 6

if a transversal intersects 2 parallel lines, then they are congruent

Question 7

same side interior angles [t]

Answer 7

if a transversal intersects 2 parallel lines, then they are supplementary

Question 8

alternate exterior angles [t]

Answer 8

if a transversal intersects 2 parallel lines, then they are congruent

Question 9

same side exterior angles [t]

Answer 9

if a transversal intersects 2 parallel lines, then they are supplementary

Question 10

converse of the corresponding angle [p]

Answer 10

if 2 lines and a transversal form corresponding angles that are congruent, then the lines are parallel

Question 11

converse of the alternate interior angles [t]

Answer 11

if 2 lines and a transversal form alternate interior angles that are congruent, then the lines are parallel

Question 12

converse of the same side interior angles [t]

Answer 12

if 2 lines and a transversal form same side interior angles that are congruent, then the lines are parallel

Question 13

converse of the alternate exterior angles [t]

Answer 13

if 2 lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel

Question 14

converse of the same side exterior angles [t]

Answer 14

if 2 lines and a transversal form same side exterior angles that are congruent, then the lines are parallel

Question 15

[t] if 2 lines are parallel to the same line…

Answer 15

then they’re parallel to each other

Question 16

[t] in a plane, if 2 lines are perpendicular to the same line….

Answer 16

then they’re parallel to each other

Question 17

[t] in a plane, if a line is perpendicular to one of 2 parallel lines….

Answer 17

then it’s also perpendicular to the other

Question 18

triangle angle-sum [t]

Answer 18

sum of the measures of the angles of a triangle is 180

Question 19

SSS

Answer 19

if the 3 sides of one triangle is equal to the 3 sides of anther triangle, then the 2 are congruent

Question 20

HL

Answer 20

hypotenuse-leg.
if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then they’re congruent.