Question 1

For coplanar lines r, s, and t, if r ⊥ t and s ⊥ t, then r || s.

Accepted Answer

A) True 
 B)False

Question 2

When two parallel lines are cut by a transversal,  and  are a pair of corresponding angles that are formed. If     and    , find x .

Accepted Answer

The answer of When two parallel lines are cut by...

Question 3

Find the sum of the interior angles for an octagon.

Accepted Answer

The answer of Find the sum of the interior angles...

Question 4

Of the upper case letters R, S, and T, which one has point symmetry?

Accepted Answer

The answer of Of the upper case letters R, S,...

Question 5

Given line l, how many lines in space can be drawn parallel to l?

Accepted Answer

The answer of Given line l, how many lines in...

Question 6

Assuming that statements (1)and (2)are true, which conclusion completes the Law of Negative Inference? (1)P  Q
(2)∼ Q

Accepted Answer

A) Q 
B) ∼ Q 
C) P 
D) ∼ P

Question 7

If two lines in space do not meet, they must be parallel.

Accepted Answer

A) True 
 B)False

Question 8

The upper case H has point symmetry.

Accepted Answer

A) True 
 B)False

Question 9

Write the first statement of the indirect proof for this statement:"If coplanar lines l and m are not perpendicular to the same line t, then l and m are not parallel."

Accepted Answer

The answer of Write the first statement of the indirect...

Question 10

For lines l, m, and n to be parallel by pairs, the three lines must be coplanar lines.

Accepted Answer

A) True 
 B)False

Question 11

Given the coplanar lines and the fact that  , which lines must be parallel?

Accepted Answer

The answer of Given the coplanar lines and the fact...

Question 12

When lines a and b are cut by transversal d ,  and  are a pair of alternate exterior angles that are formed. If  and  , find x .

Accepted Answer

A) x = 3 
B) x = 3.5 
C) x = 4 
D) x = 4.5

Question 13

It is possible for a triangle to be both isosceles and obtuse.

Accepted Answer

A) True 
 B)False

Question 14

As shown,  must be an isosceles triangle.

Accepted Answer

A) True 
 B)False

Question 15

Through a point not on a given line, there is exactly one line parallel to the given line.

Accepted Answer

A) True 
 B)False

Question 16

In  ,    ,  , and  . find  .

Accepted Answer

A) 20 ° 
B) 40 ° 
C) 60 ° 
D) 80 °

Question 17

If a triangle has exactly two congruent sides, then it is an isosceles triangle.

Accepted Answer

A) True 
 B)False

Question 18

In  ,  is a right angle. If m  is 26 ° larger than m  , find m  .

Accepted Answer

A) 26 ° 
B) 32 ° 
C) 42 ° 
D) 58 °

Question 19

The number of diagonals D for a polygon of n sides is given by  . Find the number 
of sides for a polygon that has 14 diagonals.

Accepted Answer

The answer of The number of diagonals D for a...

Question 20

Suppose that  . Which must be true?

Accepted Answer

A) a || b 
B) a ⊥ c 
C) c || d 
D) c is not parallel to d

Exam 3: Parallel Lines

For coplanar lines r, s, and t, if r ⊥ t and s ⊥ t, then r || s.

When two parallel lines are cut by a transversal, and are a pair of corresponding angles that are formed. If and , find x .

Find the sum of the interior angles for an octagon.

Of the upper case letters R, S, and T, which one has point symmetry?

Given line l, how many lines in space can be drawn parallel to l?

Assuming that statements (1) and (2) are true, which conclusion completes the Law of Negative Inference? (1) P Q (2) ∼ Q

If two lines in space do not meet, they must be parallel.

The upper case H has point symmetry.

Write the first statement of the indirect proof for this statement:"If coplanar lines l and m are not perpendicular to the same line t, then l and m are not parallel."

For lines l, m, and n to be parallel by pairs, the three lines must be coplanar lines.

Given the coplanar lines and the fact that , which lines must be parallel?

When lines a and b are cut by transversal d , and are a pair of alternate exterior angles that are formed. If and , find x .

It is possible for a triangle to be both isosceles and obtuse.

As shown, must be an isosceles triangle.

Through a point not on a given line, there is exactly one line parallel to the given line.

In , , , and . find .

If a triangle has exactly two congruent sides, then it is an isosceles triangle.

In , is a right angle. If m is 26 ° larger than m , find m .

The number of diagonals D for a polygon of n sides is given by . Find the number of sides for a polygon that has 14 diagonals.

Suppose that . Which must be true?