Chapter 9.1 - 9.7

Question 1

Define Angle

Answer 1

An angle is formed by two rays that share a common endpoint. Each ray is called a side of the angle.

Question 2

Define Area

Answer 2

The area is a measure of the surface covered by a figure.

Question 3

Define Complementary Angles

Answer 3

If the sum ot the measures of two angeles is 90 degrees, then they are called complementary angles.

Question 4

Define Cone

Answer 4

A cone is a solid figure with one circular base and a vertex.

Question 5

Define Cube

Answer 5

A cube is a rectangular solid whose length, width, and height are equal.

Question 6

Define Cylinder

Answer 6

A cylinder is a solid figure with two parallel circles of the same size at the top and bottom.

Question 7

Define Equilateral Triangle

Answer 7

A triangle with all thress sides of equal length is called an equilateral triangle.

Question 8

Define Hypotenuse

Answer 8

The side of the triangle opposite the 90 degree angle is called the hypotenuse.

Question 9

Define Irregular Figure

Answer 9

An irregular figure is a figure that is not a standard geometric shape. Its area cannot be calculated using any of the standard area formulas.

Question 10

Define Isosceles Triangle

Answer 10

A triangle with two sides of equal length is called an isosceles triangle.

Question 11

Define Legs of a Right Triangle

Answer 11

The sides of a right triangle adjacent to the right angle are called the legs.

Question 12

Define Perimeter

Answer 12

The perimeter is a measure of the distance around a figure.

Question 13

Define Rectangle

Answer 13

A rectangle is a geometric figure that has four sides and four right angles.

Question 14

Define Right Triangle

Answer 14

A right triangle is a triangle that has one 90 degree angle.

Question 15

Define Similar Figures

Answer 15

In geometry, if two figures have exactly the same shape but different sizes, we say they are similar figures.

Question 16

Define “Supplementary Angles”

Answer 16

If the sum of the measure oftwo angles is 180 degrees, then they are called supplementary angles.

Question 17

Define Trapezoid

Answer 17

A trapezoid is four-sded figure, a quadrilateral, with two sides that are parallel and two sides that are not.

Question 18

Define Triangle

Answer 18

A triangle is a geometric figure with three sides and three angles.

Question 19

Define Vertex of an Angle

Answer 19

When two rays meet to form an angle, the common endpoint is called the vertex of the angle.

Question 20

Steps of Problem Solving Strategy

Answer 20

Step 1. Read the word problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the internet. Step 2. Identify what you are looking for. Step 3. Name what you are looking for. Choose a variable to represent that quantity. Step 4. Translate into an equation. It may be helpful to first restate the problem in one sentence before translating. Step 5. Solve the equation using good algebra techniques. Step 6. Check the answer in the problem. Make sure it makes sense. Step 7. Answer the question with a complete sentence.

Question 21

Steps of Finding the Total Value for Coins of the Same Type

Answer 21

For coins of the SAME type, the total value can be found as follows: number”(n)” x value”($)” = total value”($)”. Where number is the numer of coins, value is the value of each coint, and total value is the total value of all the coins.

Question 22

Steps for Solving a Coin Word Problem

Answer 22

Step 1. Read the word problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the internet. Step 2. Identify what you are looking for. Step 3. Name what you are looking for. Use variable expressions to represent the number of each type of coin and write them in the table. Multiply the number time the value to get the total value of each type of coin. Step 4. Translate into an equation. It may be helpful to first restate the problem in one sentence before translating. Step 5. Solve the equation using good algebra techniques. Step 6. Check the answer in the problem. Make sure it makes sense. Step 7. Answer the question with a complete sentence.

Question 23

Define Supplementary and Complementary Angles

Answer 23

Supplementary Angle: If the sum of the measures of two angle equals 180 degrees, then the angles are supplementary, and if Angle A and Angle B are supplementary, the “the measure of angle A + the measure of angle B = 180”. Complementary Angle: If the sum of the measures of two angle equals 90 degrees, then the angles are complementary, and if Angle A and Angle B are complementary, the “the measure of angle A + the measure of angle B = 90”.

Question 24

Steps for Solving Geometry Applications: Angles, Triangles and the Pythagorean Theorem

Answer 24

Step 1. Read the word problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the internet. DRAW a figure and label it with the given information. Step 2. Identify what you are looking for. Step 3. Name what you are looking for. Choose a variable to represent that quantity. Step 4. Translate into an equation. Substitute in the given information. Step 5. Solve the equation. using good algebra techniques. Step 6. Check the answer in the problem. Make sure it makes sense. Step 7. Answer the question with a complete sentence.

Question 25

Sum of the Measures Angles of a Triangle

Answer 25

For any “triangle ABC”, the sum of the measures Is “180 degrees”. “measure angle A + measure angle B + measure angle C = 180”.

Question 26

Define Right Triangle

Answer 26

A “right triangle” is a triangle that has one “90 degree” angle, which is foten marked with a right angle symbol.

Question 27

Define Properties of Similar Triangles

Answer 27

If two triangles are similar, then their correspoding angle measures are equal and their coresponding side lengths have the same ratio.

Question 28

Define Properties of Rectangles

Answer 28

Rectangles have four sides and four right (90 degrees) angles. The lengths of opposite sides are equal. The perimeter, P, of a rectangle is the sum of twice the length and twice the width. Formula: P = 2L + 2W . The area of a rectangle “A” , is the length times the width. Formula: A = L x W .

Question 29

Define Triangle Properties

Answer 29

For any “triangle ABC”, the sum of the measures Is “180 degrees”. “measure angle A + measure angle B + measure angle C = 180”. The perimeter of a triangle is the sum of the lengths of the sides; P = a + b + c. The area of a triangle is one-half the base, b, times the height, h. Formula: A = (1/2)bh.

Question 30

Steps for Problem Solving Strategy for Circles and Irregular Figures

Answer 30

Step 1. Read the word problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the internet. DRAW the figure and label it with the given information. Step 2. Identify what you are looking for. Step 3. Name what you are looking for. Choose a variable to represent that quantity. Step 4. Translate into an equation. Substitute in the given information. Step 5. Solve the equation. using good algebra techniques. Step 6. Check the answer in the problem. Make sure it makes sense. Step 7. Answer the question with a complete sentence.

Question 31

Define Formulas for Circles

Answer 31

The diameter equals 2xthe circle radius. Formula: d = 2r. The measure around the perimeter of a circle is called the Circumference. Formula: C = 2(PI)r or 2(Pi)d.. Area of a circle measures the space encapsulated by the the circumference of a circle. Formula: A = (Pi)(r-squared)

Question 32

Define Formulas for Volume and Surface Area of a Rectangular Solid

Answer 32

Volume of a Rectangular Solid formula: V = Length x Width x Height. Surface Area measurement of a Rectangular Solid formula: S = 2(Length)(Height) + 2(Width)(Height) + 2(Length)(Width).

Question 33

Define Formulas for Volume and Surface Area of a Cube

Answer 33

Volume of a Cube formula: V = Side x Side x Side. Surface Area of a Cube formula: S = 6 x (Side x Side).

Question 34

Define Formulas for Volume and Surface Area of a Sphere

Answer 34

Volume of a Sphere formula: V = (4/3) x (pi) x (radius cubed). Surface Area of a Sphere formula: S = 4 x (Pi) x (radius squared).

Question 35

Define Formula for Volume and Surface Area of a Cylinder

Answer 35

Volume of a Cylinder formula: V = (Pi) x (radius squared) x (height). Surface Area of a Cylinder formula: S = 2(Pi) x (radius squared) + 2(Pi) x (radius) x (height).

Question 36

Define Formula Volume of a Cone

Answer 36

Volume of a Cone formula: V = (1/3) x (Pi) x (radius squared x (height).

Question 37

Define Formula for Distance, Rate, and Time

Answer 37

Distance, Rate, Time formula: D = (rate) x (time).