Question 1

-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 2

Find the total number of diagonals for a concave hexagon.

Accepted Answer

The answer of Find the total number of diagonals for...

Question 3

What is the specific name of the star-shaped figure that is formed when the sides of a convex pentagon are extended to meet at points in the exterior of the pentagon?

Accepted Answer

The answer of What is the specific name of the...

Question 4

-Find the sum of the interior angles for an octagon.

Accepted Answer

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

Question 5

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

Accepted Answer

A pentagon has 5 sides and 5 diagonals.

Question 6

What type of polygon has exactly 8 sides?

Accepted Answer

An octagon has exactly 8 sides. A pentagon has 5 sides, a hexagon has 6 sides, and a decagon has 10 sides.

Question 7

Use  to find the total number of diagonals for a polygon with 10 sides.

Accepted Answer

The answer of Use  to find the total number...

Question 8

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

Accepted Answer

The answer of 
-In  , m  = 37°...

Question 9

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 10

-The measures of the three interior angles of a triangle are x, 2x, and 3x. What type of triangle
is the triangle described?

Accepted Answer

The answer of 
-The measures of the three interior angles...

Question 11

Each interior angle of a regular hexagon measures 60°.

Accepted Answer

Each interior angle of a regular hexagon measures 120°. A regular hexagon has six sides, and the sum of interior angles in any hexagon is 720°, so each angle in a regular hexagon (where all angles are equal) is 720° / 6 = 120°.

Question 12

-The polygon shown is concave.

Accepted Answer

A concave polygon has at least one interior angle that is greater than 180 degrees. The polygon shown has one interior angle that is greater than 180 degrees, so it is concave.

Question 13

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

Accepted Answer

The answer of 
-In  , m  = 37°...

Question 14

Which type of figure has symmetry with respect to a point?

Accepted Answer

A square has point symmetry (also known as rotational symmetry of order 2) because it can be rotated 180 degrees around its center and still look the same.

Question 15

What does the letter D represent in the formula  ?

Accepted Answer

The answer of What does the letter D represent in...

Question 16

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

Accepted Answer

The answer of 
-In  ,  = 47°, ...

Question 17

-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 18

Find the measure of each interior angle of a regular octagon.

Accepted Answer

The formula for the measure of each interior angle of a regular polygon is $(n-2) \times 180° / n$, where $n$ is the number of sides. For an octagon, $n = 8$, so each interior angle is $(8-2) \times 180° / 8 = 135°$.

Question 19

What two qualities are needed in order that a polygon be classified as a REGULAR polygon?

Accepted Answer

The answer of What two qualities are needed in order...

Question 20

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...

Quiz 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles

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

Find the total number of diagonals for a concave hexagon.

What is the specific name of the star-shaped figure that is formed when the sides of a convex pentagon are extended to meet at points in the exterior of the pentagon?

-Find the sum of the interior angles for an octagon.

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

What type of polygon has exactly 8 sides?

Use to find the total number of diagonals for a polygon with 10 sides.

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

Find the sum of the interior angles of a hexagon.

-The measures of the three interior angles of a triangle are x, 2x, and 3x. What type of triangle is the triangle described?

Each interior angle of a regular hexagon measures 60°.

-The polygon shown is concave.

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

Which type of figure has symmetry with respect to a point?

What does the letter D represent in the formula ?

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

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

Find the measure of each interior angle of a regular octagon.

What two qualities are needed in order that a polygon be classified as a REGULAR polygon?

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.