Ch. 3 First Quiz

Question 1

Pt. Parallel Postulate

Answer 1

If there is a line and a pt. not on the line, then there is exactly one line through that pt., parallel to the given line.

Question 2

Pt. Perpendicular Postulate

Answer 2

If there is a line and a pt. not on the line, then there is exactly one line through that pt., perpendicular to the given line.

Question 3

Corresponding Angles

Answer 3

Angles that are in the same position.

Question 4

Alternate Interior Angles

Answer 4

Alternating the inside of the line

Question 5

Alternate Exterior Angles

Answer 5

Alternating the outside of the line

Question 6

Consecutive or same-side interior angles

Answer 6

Two consecutive angles that add up to 180 degrees on the inside of the line

Question 7

Corresponding Angles Postulate (CAP)

Answer 7

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Question 8

Alternate Interior Angles Theorem (AIAC)

Answer 8

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Question 9

Alternate Exterior Angles Theorem (AEAC)

Answer 9

If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Question 10

Consecutive Interior Angles Theorem (SSIS)

Answer 10

If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary.

Question 11

Converse Corresponding Angle Postulate (CCAP)

Answer 11

If two parallel lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

Question 12

CAIAC

Answer 12

Alternate interior angles are congruent if two parallel lines are cut by a transversal.

Question 13

CSSIS

Answer 13

Consecutive interior angles are supplementary if two parallel lines are cut by a transversal.

Question 14

CAEAC

Answer 14

Alternate exterior angles are congruent if two parallel lines are cut by a transversal.

Question 15

Three parallel lines theorem.

Answer 15

If two lines are parallel to the same line, then they are parallel to each other.

Question 16

CLIP (congruent implies perpendicular)

Answer 16

Congruent, linear pair, implies perpendicular
If two lines intersect to form a linear pair of congruent angles, then they are perpendicular.

Question 17

PITAC (perpendicular => 2 angles are complementary)

Answer 17

Perpendicular implies two angles are complementary
If two sides of adjacent angles are perpendicular, then angles are complementary.

Question 18

PIFRA (perpendicular => 4 right angles)

Answer 18

Perpendicular implies 4 right angles
If two lines are perpendicular, then they intersect to form 4 right angles

Question 19

*** PPP (perpendicular trans. theorem)

Answer 19

Parallel, perpendicular, parallel
If a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

Question 20

PPPL (converse PPP)

Answer 20

All ways parallel
In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

Question 21

Use Theorems If…

Answer 21

Two parallel lines are given and the question asks stuff about them.

Question 22

Use Converse Theorems If…

Answer 22

Angles are given and have to prove they’re parallel.

Question 23

Congruent Supplement/Complement Thm. (CST)

Answer 23

If two angles are supplemental/complemental to the same angle then they are congruent.

Question 24

How to Solve a system of equations problem

Answer 24

Make sure 1 of the variables cancels out when you subtract them