geometry: chapter 3

Question 0

skew lines

Answer 0

Nine coplanar lines

Question 1

parallel lines

Answer 1

Coplanar lines that do not intersect

Question 2

A line and a plane are parallel if

Answer 2

They do not intersect

Question 3

parallel planes

Answer 3

planes that do not intersect

Question 4

theorem 3-1

Answer 4

If two planes are cut by third plane than the lines of intersection are parallel

Question 5

transversal

Answer 5

A line that intersects to a more coplanar lines in different points

Question 6

Alternate interior angles

Answer 6

To nonadjacent interior angles on opposite sides of the transversal

Question 8

postulate 10

Answer 8

If two parallel lines are cut by transversal than corresponding angles are congruent

Question 8

Same side interior angles

Answer 8

Two adjacent angles on the same side of the transversal

Question 9

Corresponding angle

Answer 9

Two angles are in corresponding positions relative to the other two lines

Question 10

theorem 3-2

Answer 10

if two prallel lines are cut by transversal than alternate interior angles are congruent

Question 11

theorem 3-4

Answer 11

If a transversal was perpendicular to one of two parallel lines that is perpendicular to the other one also

Question 12

theorem 3-3

Answer 12

If two parallel lines are cut by transversal then same side interior angles are supplementary

Question 13

postulate 11

Answer 13

If two lines are cut by a transversal and corresponding angles are congruent then the lines are parallel

Question 14

theorem 3-5

Answer 14

If two lines are covered transversal and alternate interior angles are congruent then the lines are parallel

Question 15

theorem 3-6

Answer 15

If two lines are cut by transversal and the same side into angles are supplementary then the lines are parallel

Question 16

theorem 3-7

Answer 16

In a plane to lines perpendicular to the same line are parallel

Question 17

theorem 3-8

Answer 17

through a point outside a line there is exactly one line parallel to the given line

Question 18

theorem 3-9

Answer 18

through a point outside a line there is exactly one line perpendicular to give in line

Question 19

Ways to prove two lines parallel

Answer 19

Show that a pair of corresponding angles are congruent
Show that a pair of alternate interior angles are congruent
show that a pair of same side interior angles are supplementary
In the plane sure that both lines are perpendicular to the third line

Question 20

theorem 3-10

Answer 20

two lines parallel to a third line are parallel to eachother

Question 21

triangle

Answer 21

The figure formed by three segments joining three noncollinear points

Question 22

scalene triangle

Answer 22

no sides congruent

Question 23

Isosceles triangle

Answer 23

At least two sides congruent

Question 24

Equilateral triangle

Answer 24

All sides congruent

Question 25

Acute triangle

Answer 25

Three acute angles

Question 26

obtuse triangle

Answer 26

One obtuse angle

Question 27

Right triangle

Answer 27

One right angle

Question 28

Equiangular triangle

Answer 28

All congruent angles

Question 29

theorem 3-11

Answer 29

The sum of the measure of the angles of a triangle is 180

Question 30

corollary 2

Answer 30

each angle of an equal angular triangle has measures 60

Question 31

corollary 1

Answer 31

If two angles of one triangle are congruent to two angles of another triangle than the third angles are congruent

Question 32

corollary 3

Answer 32

In a triangle there can be at most one right angle or obtuse angle

Question 33

corollary 4

Answer 33

The acute angles of a right triangle are complementary

Question 34

corollary

Answer 34

Something extra

Question 35

theorem 3-12

Answer 35

The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angle

Question 36

Polygon

Answer 36

As shape where each segment intersects exactly 2 other segments one at each endpoint and no 2 segments with common endpoint are collinear

Question 37

convex polygon

Answer 37

No line containing a side of the polygon contains the point in the interior of the polygon

Question 38

diagonal

Answer 38

A segment joining to nonconsecutive vertices of a polygon

Question 39

theorem 3-13

Answer 39

This some of the measures of the angle of a convex polygon with n sides is (n-2)180

Question 40

theorem 3-14

Answer 40

The sum of the measure of the exterior angles of any convex polygon one angle at each vertice is 360

Question 41

Regular polygon

Answer 41

Both equiangular and equilateral

Question 42

Inductive reasoning

Answer 42

The conclusion is based on past observation assumed not certain