Question 1

-In  ,  ,  , and  are medians. If the centroid of the triangle is point C, find the relationship between TC and PC.

Accepted Answer

The answer of 
-In  ,  ,  ,...

Question 2

What is the name of this property?
If  , then  .

Accepted Answer

The answer of What is the name of this property?
If...

Question 3

If central angle  intercepts minor arc  of  , then m  = m  .

Accepted Answer

A) True 
 B)False

Question 4

-A regular square pyramid has base edges of 9 inches and an altitude length of 12 inches. Find the volume of the pyramid.

Accepted Answer

The answer of 
-A regular square pyramid has base edges...

Question 5

-In the figure,  . Also,  ,  , and  . Find TX.

Accepted Answer

The answer of 
-In the figure,  . Also, ...

Question 6

To circumscribe a circle about regular hexagon ABCDEF, the center can be determined by the intersection of diagonals  and  .

Accepted Answer

A) True 
 B)False

Question 7

In  (not shown),  is a right angle. Where M is a point on  and N is a point on  , how are  and  related?

Accepted Answer

The answer of In  (not shown),  is a...

Question 8

Where c is the length of the hypotenuse and a and b are the lengths of the legs, what equation relates these lengths?

Accepted Answer

The answer of Where c is the length of the...

Question 9

-In kite MNPQ,  . For this kite, name another pair of congruent sides.

Accepted Answer

The answer of 
-In kite MNPQ,  . For this...

Question 10

-In trapezoid RSTV,    . If SR = TV = 6 cm, ST = 4 cm, and m  = 60°, find the area of RSTV.

Accepted Answer

The answer of 
-In trapezoid RSTV,    ....

Question 11

What is the locus of points in a plane that are equidistant from points X and Y?

Accepted Answer

The answer of What is the locus of points in...

Question 12

-The total area of a right circular cylinder is  . If the height of the cylinder is 4,find the length of the radius.

Accepted Answer

The answer of 
-The total area of a right circular...

Question 13

The graphs of the equations  and  are the same line.

Accepted Answer

A) True 
 B)False

Question 14

-A circle has the area 126  . To the nearest tenth of a centimeter, find the length of its diameter.

Accepted Answer

A)  6.3 cm 
B)  12.7 cm 
C)  19.0 cm 
D)  None of These

Question 15

-Consider the noncollinear points A, B, C, and D. By using two points at a time, find the total number of lines that they determine.

Accepted Answer

The answer of 
-Consider the noncollinear points A, B, C,...

Question 16

and  are supplementary.  is acute. What type of angle is  ?

Accepted Answer

The answer of  and  are supplementary.  is...

Question 17

-In addition to being congruent, how are the diagonals of a square related?

Accepted Answer

The answer of 
-In addition to being congruent, how are...

Question 18

-The fourth vertex of the parallelogram shown is (  ).

Accepted Answer

A) True 
 B)False

Question 19

Write the formula for the measure c of the central angle of a regular polygon of n sides.

Accepted Answer

The answer of Write the formula for the measure c...

Question 20

A square has an area of 13  . What is the exact length of each side of the square?

Accepted Answer

The answer of A square has an area of 13...

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

-In , , , and are medians. If the centroid of the triangle is point C, find the relationship between TC and PC.

What is the name of this property? If , then .

If central angle intercepts minor arc of , then m = m .

-A regular square pyramid has base edges of 9 inches and an altitude length of 12 inches. Find the volume of the pyramid.

-In the figure, . Also, , , and . Find TX.

To circumscribe a circle about regular hexagon ABCDEF, the center can be determined by the intersection of diagonals and .

In (not shown), is a right angle. Where M is a point on and N is a point on , how are and related?

Where c is the length of the hypotenuse and a and b are the lengths of the legs, what equation relates these lengths?

-In kite MNPQ, . For this kite, name another pair of congruent sides.

-In trapezoid RSTV, . If SR = TV = 6 cm, ST = 4 cm, and m = 60°, find the area of RSTV.

What is the locus of points in a plane that are equidistant from points X and Y?

-The total area of a right circular cylinder is . If the height of the cylinder is 4,find the length of the radius.

The graphs of the equations and are the same line.

-A circle has the area 126 . To the nearest tenth of a centimeter, find the length of its diameter.

-Consider the noncollinear points A, B, C, and D. By using two points at a time, find the total number of lines that they determine.

and are supplementary. is acute. What type of angle is ?

-In addition to being congruent, how are the diagonals of a square related?

-The fourth vertex of the parallelogram shown is ( ).

Write the formula for the measure c of the central angle of a regular polygon of n sides.

A square has an area of 13 . What is the exact length of each side of the square?