Question 1

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

Accepted Answer

A) True 
 B)False

Question 2

How is the radius of a regular polygon related to the angle to whose vertex the radius was drawn?

Accepted Answer

The radius

Question 3

-The lengths of the sides of a right triangle are a, b, and c (the hypotenuse). Given that   , find an expression for   .

Accepted Answer

The answer of  
-The lengths of the sides of...

Question 4

-In the figure,   . If   and   , find the value of x.

Accepted Answer

A)  65 
B)  75 
C)  85 
D)  None of These 
A)  65 
B)  75 
C)  85 
D)  None of These

Question 5

-In   ,       and in   ,       . If AB = XY and CD = ZW, then:

Accepted Answer

A)        
B)        
C)    and   have the same perimeter. 
D)    and   have the same area. 
A)        
B)        
C)    and   have the same perimeter. 
D)    and   have the same area.

Question 6

-With   and point G in the interior of   ,   and   are complementary.

Accepted Answer

A) True 
 B)False

Question 7

Given that   and   , it follows that:

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find the volume of the box that has dimensions of 10 cm, 12 cm, and 16 cm.

Accepted Answer

The answer of Find the volume of the box that...

Question 9

-For kite MNPQ,   and   . If diagonal   is drawn, what type of triangles are formed?

Accepted Answer

The answer of  
-For kite MNPQ,   and...

Question 10

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 
A)  Q 
B)  ∼Q 
C)  P 
D)  ∼P

Question 11

Find the area of the triangle whose sides have lengths 13 cm, 14 cm, and 15 cm.

Accepted Answer

The answer of Find the area of the triangle whose...

Question 12

Given that   is an obtuse triangle, it follows that:

Accepted Answer

A)  the three angle-bisectors meet in the exterior of   
B)  the three medians meet in the exterior of   
C)  the three altitudes meet in the interior of   
D)  the 3 perpendicular-bisectors of the sides of   meet in the exterior of the triangle 
A)  the three angle-bisectors meet in the exterior of   
B)  the three medians meet in the exterior of   
C)  the three altitudes meet in the interior of   
D)  the 3 perpendicular-bisectors of the sides of   meet in the exterior of the triangle

Question 13

-The slant height of a regular square pyramid meets the apothem of the base to form an angle measuring 59°. If the length of the slant height is 12.6 cm, find the length of each side of the square base of the pyramid. Provide the answer correct to the nearest tenth of a centimeter.

Accepted Answer

The answer of  
-The slant height of a regular...

Question 14

In   , it follows that

Accepted Answer

A)    and   include   
B)    and   include   
C)    and   include   
D)    and   include   
A)    and   include   
B)    and   include   
C)    and   include   
D)    and   include

Question 15

The point   lies in the plane   .

Accepted Answer

A) True 
 B)False

Question 16

-If coplanar lines r and s are cut by transversal t so that alternate exterior angles
are congruent, then r || s.

Accepted Answer

A) True 
 B)False

Question 17

-Given that P is the midpoint of   and       , what reason is used to establish that   is congruent to   ?

Accepted Answer

The answer of  
-Given that P is the midpoint...

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° 
A)  26° 
B)  32° 
C)  42° 
D)  58°

Question 19

-For the triangle shown, vertices are R(0,0), S(s,0), and T(t,v). If   , find the
coordinates of the point at which the bisector of   intersects side   .

Accepted Answer

The answer of  
-For the triangle shown, vertices are...

Question 20

For a parallelogram to be a rhombus, what condition must it satisfy?

Accepted Answer

It has two

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

How is the radius of a regular polygon related to the angle to whose vertex the radius was drawn?

-The lengths of the sides of a right triangle are a, b, and c (the hypotenuse). Given that , find an expression for .

-In the figure, . If and , find the value of x.

-In , and in , . If AB = XY and CD = ZW, then:

-With and point G in the interior of , and are complementary.

Given that and , it follows that:

Find the volume of the box that has dimensions of 10 cm, 12 cm, and 16 cm.

-For kite MNPQ, and . If diagonal is drawn, what type of triangles are formed?

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

Find the area of the triangle whose sides have lengths 13 cm, 14 cm, and 15 cm.

Given that is an obtuse triangle, it follows that:

-The slant height of a regular square pyramid meets the apothem of the base to form an angle measuring 59°. If the length of the slant height is 12.6 cm, find the length of each side of the square base of the pyramid. Provide the answer correct to the nearest tenth of a centimeter.

In , it follows that

The point lies in the plane .

-If coplanar lines r and s are cut by transversal t so that alternate exterior angles are congruent, then r || s.

-Given that P is the midpoint of and , what reason is used to establish that is congruent to ?

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

-For the triangle shown, vertices are R(0,0), S(s,0), and T(t,v). If , find the coordinates of the point at which the bisector of intersects side .

For a parallelogram to be a rhombus, what condition must it satisfy?

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

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

How is the radius of a regular polygon related to the angle to whose vertex the radius was drawn?

-The lengths of the sides of a right triangle are a, b, and c (the hypotenuse). Given that , find an expression for .

-In the figure, . If and , find the value of x.

-In , and in , . If AB = XY and CD = ZW, then:

-With and point G in the interior of , and are complementary.

Given that and , it follows that:

Find the volume of the box that has dimensions of 10 cm, 12 cm, and 16 cm.

-For kite MNPQ, and . If diagonal is drawn, what type of triangles are formed?

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

Find the area of the triangle whose sides have lengths 13 cm, 14 cm, and 15 cm.

Given that is an obtuse triangle, it follows that:

-The slant height of a regular square pyramid meets the apothem of the base to form an angle measuring 59°. If the length of the slant height is 12.6 cm, find the length of each side of the square base of the pyramid. Provide the answer correct to the nearest tenth of a centimeter.

In , it follows that

The point lies in the plane .

-If coplanar lines r and s are cut by transversal t so that alternate exterior angles are congruent, then r || s.

-Given that P is the midpoint of and , what reason is used to establish that is congruent to ?

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

-For the triangle shown, vertices are R(0,0), S(s,0), and T(t,v). If , find the coordinates of the point at which the bisector of intersects side .

For a parallelogram to be a rhombus, what condition must it satisfy?

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