Question 1

-How many lines of symmetry does the square have?

Accepted Answer

The answer of  
-How many lines of symmetry does...

Question 2

If B is the midpoint of line segment AC and AB = 3.6, then AC = 7.2.

Accepted Answer

A) True 
 B)False

Question 3

-Given two parallel lines, suppose that the bisectors of two interior angles on the same side of a transversal are drawn to meet at a point. Find the measure of the angle formed by the angle-bisectors.

Accepted Answer

The answer of  
-Given two parallel lines, suppose that...

Question 4

Consider the definition: An isosceles triangle is a triangle that has two congruent sides. Which result must follow from the definition?

Accepted Answer

A)  If   is isosceles, then it has two congruent angles. 
B)  If   in   , then   is an isosceles triangle. 
C)  If   has two congruent sides, then   has two congruent angles. 
D)  None of These 
A)  If   is isosceles, then it has two congruent angles. 
B)  If   in   , then   is an isosceles triangle. 
C)  If   has two congruent sides, then   has two congruent angles. 
D)  None of These

Question 5

Given   , name an angle that is supplementary to   .

Accepted Answer

The answer of Given   , name an angle...

Question 6

What part of   is included by   and   ?

Accepted Answer

The answer of What part of   is included...

Question 7

Using the symbols ∼ (for negation) and → (for implication), write the contrapositive of
the implication P → Q.

Accepted Answer

The answer of Using the symbols ∼ (for negation) and...

Question 8

The perimeter P of an isosceles triangle with a leg of length a and base of length b is
given by   .

Accepted Answer

A) True 
 B)False

Question 9

One of the methods for proving that two triangles are congruent is abbreviated AAA.

Accepted Answer

A) True 
 B)False

Question 10

Consider   . If the midpoints of the sides are joined in order, the resulting quadrilateral must be a:

Accepted Answer

A)  parallelogram 
B)  rectangle 
C)  kite 
D)  trapezoid 
A)  parallelogram 
B)  rectangle 
C)  kite 
D)  trapezoid

Question 11

-Complete the following implication with hypothesis "2 + 3 = 5."
If 2 + 3 = 5, then 2a + 3a = ?:

Accepted Answer

The answer of  
-Complete the following implication with hypothesis...

Question 12

Across the flat terrain, Meg and Mara see a forest ranger tower that they know is 120 feet high. If their angle of elevation to the top of the tower is 3 degrees, how far (to the nearest foot) will Meg and Mara have to walk to get to the tower? [Hint: 1 mile = 5280 feet.]

Accepted Answer

A)  2,290 ft 
B)  2,293 ft 
C)  2,500 ft 
D)  None of These 
A)  2,290 ft 
B)  2,293 ft 
C)  2,500 ft 
D)  None of These

Question 13

For a regular octagon, the length of the apothem is a = 8.2 cm while the length of each side is s = 6.7 cm. To the nearest tenth of a square centimeter, find the area of the regular octagon.

Accepted Answer

The answer of For a regular octagon, the length of...

Question 14

-  is tangent to   at point B. If m   = 53°, find m   .

Accepted Answer

The answer of  
-  is tangent to ...

Question 15

The point   lies on the sphere   . Find all possible value(s) for a.

Accepted Answer

The answer of The point   lies on the...

Question 16

-The locus of points in a plane that are at a distance of 1 inch from a given point P is the circle with center P and length of radius 1 inch.

Accepted Answer

A) True 
 B)False

Question 17

-For   ,   ,   , and   are medians. If TP = 23.4 cm, find the distance between the centroid of   and vertex T.

Accepted Answer

The answer of  
-For   ,  ...

Question 18

-If sides   and   of quadrilateral MNPQ are congruent and also parallel, then MNPQ is a parallelogram.

Accepted Answer

A) True 
 B)False

Question 19

-For trapezoid RSTV,   . Also, M and N are the midpoints of the nonparallel sides as shown. In relation to trapezoid RSTV, what name is used for   ?

Accepted Answer

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

Question 20

In   ,   and   are minor arcs for which m     m   . Which must be true?

Accepted Answer

A)    
B)  m     m   
C)    is nearer to center O than   
D)  None of These 
A)    
B)  m     m   
C)    is nearer to center O than   
D)  None of These

-How many lines of symmetry does the square have?

If B is the midpoint of line segment AC and AB = 3.6, then AC = 7.2.

-Given two parallel lines, suppose that the bisectors of two interior angles on the same side of a transversal are drawn to meet at a point. Find the measure of the angle formed by the angle-bisectors.

Consider the definition: An isosceles triangle is a triangle that has two congruent sides. Which result must follow from the definition?

Given , name an angle that is supplementary to .

What part of is included by and ?

Using the symbols ∼ (for negation) and → (for implication), write the contrapositive of the implication P → Q.

The perimeter P of an isosceles triangle with a leg of length a and base of length b is given by .

One of the methods for proving that two triangles are congruent is abbreviated AAA.

Consider . If the midpoints of the sides are joined in order, the resulting quadrilateral must be a:

-Complete the following implication with hypothesis "2 + 3 = 5." If 2 + 3 = 5, then 2a + 3a = ?:

Across the flat terrain, Meg and Mara see a forest ranger tower that they know is 120 feet high. If their angle of elevation to the top of the tower is 3 degrees, how far (to the nearest foot) will Meg and Mara have to walk to get to the tower? [Hint: 1 mile = 5280 feet.]

For a regular octagon, the length of the apothem is a = 8.2 cm while the length of each side is s = 6.7 cm. To the nearest tenth of a square centimeter, find the area of the regular octagon.

- is tangent to at point B. If m = 53°, find m .

The point lies on the sphere . Find all possible value(s) for a.

-The locus of points in a plane that are at a distance of 1 inch from a given point P is the circle with center P and length of radius 1 inch.

-For , , , and are medians. If TP = 23.4 cm, find the distance between the centroid of and vertex T.

-If sides and of quadrilateral MNPQ are congruent and also parallel, then MNPQ is a parallelogram.

-For trapezoid RSTV, . Also, M and N are the midpoints of the nonparallel sides as shown. In relation to trapezoid RSTV, what name is used for ?

In , and are minor arcs for which m m . Which must be true?

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

-How many lines of symmetry does the square have?

If B is the midpoint of line segment AC and AB = 3.6, then AC = 7.2.

-Given two parallel lines, suppose that the bisectors of two interior angles on the same side of a transversal are drawn to meet at a point. Find the measure of the angle formed by the angle-bisectors.

Consider the definition: An isosceles triangle is a triangle that has two congruent sides. Which result must follow from the definition?

Given , name an angle that is supplementary to .

What part of is included by and ?

Using the symbols ∼ (for negation) and → (for implication), write the contrapositive of the implication P → Q.

The perimeter P of an isosceles triangle with a leg of length a and base of length b is given by .

One of the methods for proving that two triangles are congruent is abbreviated AAA.

Consider . If the midpoints of the sides are joined in order, the resulting quadrilateral must be a:

-Complete the following implication with hypothesis "2 + 3 = 5." If 2 + 3 = 5, then 2a + 3a = ?:

Across the flat terrain, Meg and Mara see a forest ranger tower that they know is 120 feet high. If their angle of elevation to the top of the tower is 3 degrees, how far (to the nearest foot) will Meg and Mara have to walk to get to the tower? [Hint: 1 mile = 5280 feet.]

For a regular octagon, the length of the apothem is a = 8.2 cm while the length of each side is s = 6.7 cm. To the nearest tenth of a square centimeter, find the area of the regular octagon.

- is tangent to at point B. If m = 53°, find m .

The point lies on the sphere . Find all possible value(s) for a.

-The locus of points in a plane that are at a distance of 1 inch from a given point P is the circle with center P and length of radius 1 inch.

-For , , , and are medians. If TP = 23.4 cm, find the distance between the centroid of and vertex T.

-If sides and of quadrilateral MNPQ are congruent and also parallel, then MNPQ is a parallelogram.

-For trapezoid RSTV, . Also, M and N are the midpoints of the nonparallel sides as shown. In relation to trapezoid RSTV, what name is used for ?

In , and are minor arcs for which m m . Which must be true?

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