Question 1

A pentagon has the same number of diagonals as it has sides.

Accepted Answer

A pentagon has 5 sides and the number of diagonals is given by the formula n(n-3)/2, where n is the number of sides. Thus, for a pentagon, the number of diagonals is 5(5-3)/2 = 5. So the statement that a pentagon has the same number of diagonals as it has sides is false.

Question 2

Find the measure of each exterior angle of a regular dodecagon (polygon with 12 sides).

Accepted Answer

The answer of Find the measure of each exterior angle...

Question 3

Draw a conclusion based upon true statements (i.)and (ii.). 
(i.)If two triangles are congruent, then they are similar. 
(ii.)  is not similar to  .

Accepted Answer

The answer of Draw a conclusion based upon true statements...

Question 4

If m  = 37 ° and m  = 76 ° in  , it follows that m  = 77 ° .

Accepted Answer

The answer of If m  = 37 ° and...

Question 5

In  , m  = 37 ° and m  = 116 ° . Find the measure of exterior angle RTV.

Accepted Answer

The answer of In  , m  = 37...

Question 6

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

Accepted Answer

The answer of In  ,  is a right...

Question 7

Each interior angle of a regular hexagon measures 60°.

Accepted Answer

A regular hexagon has six sides and six interior angles. The sum of all interior angles in any hexagon is 720°, and if the hexagon is regular, then all six angles are congruent. Therefore, each angle measures 720°/6 = 120°. Since 120° is greater than 60°, the statement "Each interior angle of a regular hexagon measures 60°" is false.

Question 8

In  , m  = 84 ° and m  = 42 ° . The bisectors of  and  meet at the point V in the interior of  . What is the measure of  ?

Accepted Answer

The answer of In  , m  = 84...

Question 9

For  , there is an exterior angle at vertex Z . If m  = 68 ° and m  = 47 ° , find m  .

Accepted Answer

The sum of the measures of the exterior angles of a polygon is always 360°. Therefore, the measure of angle Z is:

m 11ebfb55_249b_bc1e_9d86_b37374f4af0b_TBX8811_11 = 360° - (m 11ebfb55_249b_bc1c_9d86_373b9cff2021_TBX8811_11 + m 11ebfb55_249b_bc1d_9d86_5f3b0768afdd_TBX8811_11)

m 11ebfb55_249b_bc1e_9d86_b37374f4af0b_TBX8811_11 = 360° - (68° + 47°) = 245°

However, since 245° is an interior angle of the polygon, the exterior angle at vertex Z is:

180° - m 11ebfb55_249b_bc1e_9d86_b37374f4af0b_TBX8811_11 = 180° - 245° = 35°

Therefore, the correct answer is C) 115°, which is the supplement of the exterior angle.

Question 10

Find the sum of the interior angles of a hexagon.

Accepted Answer

The sum of the interior angles of a polygon can be calculated using the formula (n-2) * 180°, where n is the number of sides. For a hexagon, n=6, so the sum is (6-2) * 180° = 4 * 180° = 720°. Since 720° is not listed among the options, the correct answer is "None of These."

Question 11

The polygon shown is concave.

Accepted Answer

The answer of The polygon shown is concave....

Question 12

In  , it is given that  is a right angle. What word characterizes the relationship 
between  and  ?

Accepted Answer

The answer of In  , it is given that...

Question 13

What type of polygon has exactly 8 sides?

Accepted Answer

An octagon is a polygon with exactly 8 sides.

Question 14

In  ,  = 47 ° ,  = 3 y - 7, and  = 2( y + 10). Find the value of y .

Accepted Answer

The answer of In  ,  = 47 °...

Question 15

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

Accepted Answer

An isosceles triangle has at least two sides of equal length, and an obtuse triangle has one angle greater than 90 degrees. Therefore, a triangle could have two equal sides and one angle greater than 90 degrees, making it both isosceles and obtuse.

Question 16

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

Accepted Answer

This is the definition of an isosceles triangle.

Question 17

In  , m  = 37 ° and m  = 53 ° . What type of triangle is  ?

Accepted Answer

The answer of In  , m  = 37...

Question 18

In  , m  = 37 ° and m  = 69 ° . Find m  .

Accepted Answer

The answer of In  , m  = 37...

Question 19

As shown,  must be an isosceles triangle.

Accepted Answer

The answer of As shown,  must be an isosceles...

Question 20

In  ,    ,  , and  . find  .

Accepted Answer

The given codes differ in the third set of characters (d195, f8a6, f8a7, f8a8) which indicates a change in angle measurement. By observing the difference between each set, it is clear that there is an increase of 20 degrees with each code. Therefore, the next code would be 11ebfb55_249a_f8a9_9d86_377cb5dcc9d9_TBX8811_11 which represents an angle of 80 degrees. Therefore, the answer is D.

Quiz 3: Parallel Lines

A pentagon has the same number of diagonals as it has sides.

Find the measure of each exterior angle of a regular dodecagon (polygon with 12 sides).

Draw a conclusion based upon true statements (i.)and (ii.). (i.)If two triangles are congruent, then they are similar. (ii.) is not similar to .

If m = 37 ° and m = 76 ° in , it follows that m = 77 ° .

In , m = 37 ° and m = 116 ° . Find the measure of exterior angle RTV.

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

Each interior angle of a regular hexagon measures 60°.

In , m = 84 ° and m = 42 ° . The bisectors of and meet at the point V in the interior of . What is the measure of ?

For , there is an exterior angle at vertex Z . If m = 68 ° and m = 47 ° , find m .

Find the sum of the interior angles of a hexagon.

The polygon shown is concave.

In , it is given that is a right angle. What word characterizes the relationship between and ?

What type of polygon has exactly 8 sides?

In , = 47 ° , = 3 y - 7, and = 2( y + 10). Find the value of y .

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

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

In , m = 37 ° and m = 53 ° . What type of triangle is ?

In , m = 37 ° and m = 69 ° . Find m .

As shown, must be an isosceles triangle.

In , , , and . find .