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Geometry
4. A classroom is 38 feet long, 24 feet wide and 10 feet high. Determine the volume and surface area.
Geometry
3.If an edge of a cube is increased by 33%, by how much is the total surface area increased?
Geometry
1. A cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes.
Geometry
1. How many square inches of a material needed to create an open top rectangular solid whose volume is 54 cubic inches? Assume that the length and width areof the same measurement and that the height is twice the length.
Geometry
one acute angle of a right triangle measures 28 degrees to the nearest tenth what is the length of the side oppposite that angle if the hypotenuse measures 16 meters
Geometry
Explain why each statement might be true or might be untrue. Tell if each is an example of
inductive or deductive reasoning? Justify your answers.
1. All men are mortal. Joe is a man. Therefore Joe is mortal. If the first two statements are
true, then the conclusion must be true.
2
2. To get a high school diploma from The Ogburn School, a student must have 24 credits.
Cindy has more than 24 credits. Therefore, Cindy must have a high school diploma.
3. This cat is black. That cat is black A third cat is black. Therefore all cats are black.
4. This marble from the bag is black. That marble from the bag is black. A third marble from
the bag is black. Therefore all the marbles in the bag are black.
5. For problems A-E, write the converse, inverse, and contrapositive statements based on the
given conditional statement.
A. If I own a dog, then I own an animal.
Converse:
Inverse:
Contrapositive:B. If I go to be early, then I sleep well.
Converse:
Inverse:
Contrapositive:
C. If this is Thursday, then I do not go to church.
Converse:
Inverse:
Contrapositive:
D. If today is Wednesday, the yesterday was Tuesday.
Converse:
Inverse:
Contrapositive:
E. If 5x = 10, then x = 2.
Converse:
Inverse:
Contrapositive:
inductive or deductive reasoning? Justify your answers.
1. All men are mortal. Joe is a man. Therefore Joe is mortal. If the first two statements are
true, then the conclusion must be true.
2
2. To get a high school diploma from The Ogburn School, a student must have 24 credits.
Cindy has more than 24 credits. Therefore, Cindy must have a high school diploma.
3. This cat is black. That cat is black A third cat is black. Therefore all cats are black.
4. This marble from the bag is black. That marble from the bag is black. A third marble from
the bag is black. Therefore all the marbles in the bag are black.
5. For problems A-E, write the converse, inverse, and contrapositive statements based on the
given conditional statement.
A. If I own a dog, then I own an animal.
Converse:
Inverse:
Contrapositive:B. If I go to be early, then I sleep well.
Converse:
Inverse:
Contrapositive:
C. If this is Thursday, then I do not go to church.
Converse:
Inverse:
Contrapositive:
D. If today is Wednesday, the yesterday was Tuesday.
Converse:
Inverse:
Contrapositive:
E. If 5x = 10, then x = 2.
Converse:
Inverse:
Contrapositive:
Geometry
1. The perimeter of a rhombus is 40. What is the area of the square?
2. If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining
three angles.
3. Are the diagonals of a parallelogram perpendicular? Why or why not? Explain.
4. Does an isosceles trapezoid have two sets of parallel sides? Why or why not? Explain.
5. Does a rhombus have two sets of congruent sides? Why or why not? Explain.
6. The perimeter of a square is 160 feet. What is the area of the square?
7. True or false;
a. A rhombus is a parallelogram with four congruent sides
b. A rectangle is a parallelogram with four right angles
c. A square is a rectangle and a rhombus
d. A rhombus is always a square
e. Every parallelogram is a regular quadrilateral
f. In a rectangle, the diagonals are perpendicular
8. Name the bases of the trapezoid shown below;
D
A B
C
9. True or False;
a. A trapezoid has two bases
b. A trapezoid may have a right angle
c. A trapezoid may have three congruent
2. If one angle of a parallelogram is 60 degrees, find the number of degrees in the remaining
three angles.
3. Are the diagonals of a parallelogram perpendicular? Why or why not? Explain.
4. Does an isosceles trapezoid have two sets of parallel sides? Why or why not? Explain.
5. Does a rhombus have two sets of congruent sides? Why or why not? Explain.
6. The perimeter of a square is 160 feet. What is the area of the square?
7. True or false;
a. A rhombus is a parallelogram with four congruent sides
b. A rectangle is a parallelogram with four right angles
c. A square is a rectangle and a rhombus
d. A rhombus is always a square
e. Every parallelogram is a regular quadrilateral
f. In a rectangle, the diagonals are perpendicular
8. Name the bases of the trapezoid shown below;
D
A B
C
9. True or False;
a. A trapezoid has two bases
b. A trapezoid may have a right angle
c. A trapezoid may have three congruent
Geometry
The figure shows two shaded rectangles A and B in a square. The areas of the shaded parts are 24 cm2 and 36 cm2 as shown.
what is the area of the square?
what is the area of the square?
Geometry
show that point A(-6,4)B(-13,4)C(-6,-3)D(13,-3)
Geometry
who is called The father of geometry?
