Question 1

In a right triangle with acute angle measures of   and   , sin   . It follows that:

Accepted Answer

A)    
B)    53° 
C)    
D)    
A)    
B)    53° 
C)    
D)

Question 2

If   and   are supplementary and   , then   must be a(n):

Accepted Answer

The answer of If   and   are...

Question 3

-  and   are complementary. Also, m   = 38.6° and   and   are vertical angles.Find m   .

Accepted Answer

The answer of  
-  and   are...

Question 4

-The region bounded by radii   and   and arc   is known as a secant of the circle.

Accepted Answer

A) True 
 B)False

Question 5

In a regular polygon, each central angle measures 15°. How many sides does the polygon have?

Accepted Answer

The answer of In a regular polygon, each central angle...

Question 6

-If two lines intersect, any two adjacent angles formed are:

Accepted Answer

The answer of  
-If two lines intersect, any two...

Question 7

-In   , b = 6.0 inches, m   = 40° and m   = 65°. To the nearest tenth of an inch, find the length C

Accepted Answer

A)  7.8 in 
B)  8.5 in 
C)  8.9 in 
D)  None of These 
A)  7.8 in 
B)  8.5 in 
C)  8.9 in 
D)  None of These

Question 8

-The polygon shown is concave.

Accepted Answer

A) True 
 B)False

Question 9

-In the acute triangle shown, m   , m   , and m   . Suppose that you know the length a and measures of angles   and   . If you wish to find the length b, state the form of the Law of Sines or Law of Cosines that you would use.

Accepted Answer

@#IMG-DLM& where @#IMG-DLM& ;

Question 10

-In   , a sector is bounded by radii   and   and arc   . If m   = 90° and PX = 6 m, find the exact area of the sector.

Accepted Answer

A)  9     
B)  12     
C)  3     
D)  36     
A)  9     
B)  12     
C)  3     
D)  36

Question 11

-In a right triangle,   . Find the value of   .

Accepted Answer

The answer of  
-In a right triangle,  ...

Question 12

Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle, which point is used as the center of this circle?

Accepted Answer

A)  incenter 
B)  circumcenter 
C)  orthocenter 
D)  centroid 
A)  incenter 
B)  circumcenter 
C)  orthocenter 
D)  centroid

Question 13

For every parallelogram, two adjacent sides must be congruent.

Accepted Answer

A) True 
 B)False

Question 14

-In the figure,   and   bisect each other. If   and   is   larger than   , find   .

Accepted Answer

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

Question 15

-A right circular cylinder and a right circular cone with the same circular base and same length of altitude will have the same volume.

Accepted Answer

A) True 
 B)False

Question 16

-To construct the tangent to   at point T on the circle, we construct a line perpendicular to   at point T.

Accepted Answer

A) True 
 B)False

Question 17

-The volume of a sphere is 564   . Correct to the nearest tenth of a meter, find the length of the radius of the sphere.

Accepted Answer

A)  6.2 m 
B)  5.7 m 
C)  5.4 m 
D)  5.1 m 
A)  6.2 m 
B)  5.7 m 
C)  5.4 m 
D)  5.1 m

Question 18

-In the figure, the exterior sides of the adjacent angles (   and   ) form a larger angle (   ). If m   = 49° and m   = 58°, what type of angle is   ?

Accepted Answer

The answer of  
-In the figure, the exterior sides...

Question 19

-The bearing of the airplane with the path shown is N 30° E.

Accepted Answer

A) True 
 B)False

Question 20

-The indirect proof of the statement, "If   is not perpendicular to   , then ∠1 and ∠2 are not complementary" begins with the statement, "Suppose that ∠1 and ∠2 are complementary."

Accepted Answer

A) True 
 B)False

In a right triangle with acute angle measures of and , sin . It follows that:

If and are supplementary and , then must be a(n):

- and are complementary. Also, m = 38.6° and and are vertical angles.Find m .

-The region bounded by radii and and arc is known as a secant of the circle.

In a regular polygon, each central angle measures 15°. How many sides does the polygon have?

-If two lines intersect, any two adjacent angles formed are:

-In , b = 6.0 inches, m = 40° and m = 65°. To the nearest tenth of an inch, find the length C

-The polygon shown is concave.

-In the acute triangle shown, m , m , and m . Suppose that you know the length a and measures of angles and . If you wish to find the length b, state the form of the Law of Sines or Law of Cosines that you would use.

-In , a sector is bounded by radii and and arc . If m = 90° and PX = 6 m, find the exact area of the sector.

-In a right triangle, . Find the value of .

Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle, which point is used as the center of this circle?

For every parallelogram, two adjacent sides must be congruent.

-In the figure, and bisect each other. If and is larger than , find .

-A right circular cylinder and a right circular cone with the same circular base and same length of altitude will have the same volume.

-To construct the tangent to at point T on the circle, we construct a line perpendicular to at point T.

-The volume of a sphere is 564 . Correct to the nearest tenth of a meter, find the length of the radius of the sphere.

-In the figure, the exterior sides of the adjacent angles ( and ) form a larger angle ( ). If m = 49° and m = 58°, what type of angle is ?

-The bearing of the airplane with the path shown is N 30° E.

-The indirect proof of the statement, "If is not perpendicular to , then ∠1 and ∠2 are not complementary" begins with the statement, "Suppose that ∠1 and ∠2 are complementary."

Line and Angle Relationships

Parallel Lines

Triangles

Quadrilaterals

Similar Triangles

Circles

Locus and Concurrence

Areas of Polygons and Circles

Surfaces and Solids

Analytical Geometry

Introduction to Trigonometry

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

In a right triangle with acute angle measures of and , sin . It follows that:

If and are supplementary and , then must be a(n):

- and are complementary. Also, m = 38.6° and and are vertical angles.Find m .

-The region bounded by radii and and arc is known as a secant of the circle.

In a regular polygon, each central angle measures 15°. How many sides does the polygon have?

-If two lines intersect, any two adjacent angles formed are:

-In , b = 6.0 inches, m = 40° and m = 65°. To the nearest tenth of an inch, find the length C

-The polygon shown is concave.

-In the acute triangle shown, m , m , and m . Suppose that you know the length a and measures of angles and . If you wish to find the length b, state the form of the Law of Sines or Law of Cosines that you would use.

-In , a sector is bounded by radii and and arc . If m = 90° and PX = 6 m, find the exact area of the sector.

-In a right triangle, . Find the value of .

Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle, which point is used as the center of this circle?

For every parallelogram, two adjacent sides must be congruent.

-In the figure, and bisect each other. If and is larger than , find .

-A right circular cylinder and a right circular cone with the same circular base and same length of altitude will have the same volume.

-To construct the tangent to at point T on the circle, we construct a line perpendicular to at point T.

-The volume of a sphere is 564 . Correct to the nearest tenth of a meter, find the length of the radius of the sphere.

-In the figure, the exterior sides of the adjacent angles ( and ) form a larger angle ( ). If m = 49° and m = 58°, what type of angle is ?

-The bearing of the airplane with the path shown is N 30° E.

-The indirect proof of the statement, "If is not perpendicular to , then ∠1 and ∠2 are not complementary" begins with the statement, "Suppose that ∠1 and ∠2 are complementary."

Line and Angle Relationships

Parallel Lines

Triangles

Quadrilaterals

Similar Triangles

Circles

Locus and Concurrence

Areas of Polygons and Circles

Surfaces and Solids

Analytical Geometry

Introduction to Trigonometry

Filters