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Chapter 8 – Geometry- Lesson 8-1 Relating Solids and Plane Figures
Seatwork Content Text Pages 434 -437
Below is a study guide that you can use for this unit. Memorize the shapes and their names below. Practice each night so by the end of the unit these and other terms would be easy to remember.
Chapter 8 – Geometry- Lesson 8-1 Relating Solids and Plane Figures
Seatwork Content Text Pages 434 -437
Chapter 8 – Geometry- Lesson 8-1 Relating Solids and Plane Figures
HomeworkContent Text Pages 434 -437
Name: ______
Cube Triangular RectangularRectangular Prism Prism Pyramid
Remember that a solid figure has three dimensions.
Complete the chart below for each figure.
Solid Figure / Number of faces / Number of Edges / Number of VerticesCube
Triangular Prism
Rectangular Prism
Rectangular Pyramid
Label the following shapes
______
Chapter 8 – Geometry-
Lesson 8-2 Polygons Seatwork Content Text Pages 438 -439
Below is a study guide that you can use for this unit. Memorize the shapes and their names below. Practice each night so by the end of the unit these and other terms would be easy to remember.
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The following figure is not a polygon
as it is not a closed figure.
A circle is not a polygon as it
does not have straight sides.
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Chapter 8 – Geometry-
Lesson 8-2 Polygons Seatwork Content Text Pages 438 -439
Remember a polygon is a closed plane figure made of line segments. A polygon is regular if all its sides are equal and all its angles are equal.
Directions: Name the polygon. Then tell how many sides it has.
Chapter 8 – Geometry-
Lesson 8-2PolygonsHomeworkContent Text Pages 438 -439
Name: ______
Remember a polygon is a closed plane figure made of line segments. A polygon is regular if all its sides are equal and all its angles are equal.
Directions: Name the polygon. Then tell how many sides it has.
Directions: Tell whether the shape is a regular polygon, irregular polygon or not a polygon.
Chapter 8 – Geometry- Content Text Pages 440-441
Lesson 8-3 SEATWORK Lines, Line Segments, Rays, and Angles
Name: ______
Directions: Use the word bank to correctly label the picture.
Directions: Use the word bank to correctly label the picture.
Use the drawing on the right to answer the following questions
Name three line segments , _____, _____, ______
Name two rays ______, ______
Name an angle ______
Chapter 8 – Geometry-
Lesson 8-3 HOMEWORK Lines, Line Segments, Rays, and Angles
Content Text Pages 440-441
GO RIGHT ON TO THE NEXT PAGE
Chapter 8 – Geometry-
Lesson 8-3 HOMEWORK Lines, Line Segments, Rays, and Angles
Content Text Pages 440-441
GO RIGHT ON TO THE NEXT PAGE
Chapter 8 – Geometry-
Lesson 8-3 HOMEWORK Lines, Line Segments, Rays, and Angles
Content Text Pages 440-441
Chapter 8 – Geometry- Lesson 8-4 Triangle & Quadrilaterals
Content Text Pages 444-447
Name: ______
Classify each triangle by its sides (isosceles, scalene, equilateral) AND then by its angles (acute, obtuse, right).
Directions: Use the word bank to correctly label the picture.
Chapter 8 – Geometry- Lesson 8-5 Circles
Content Text Pages 448-449
Name: ______
Use the word bank on the right to draw an arrow to eachpart of the circle.
For each circle shown, find the length of the diameter.
Chapter 8 – Geometry- Lesson 8-6Congruent Figures and Motions
Content Text Pages 452- 455
Name: ______
Slides, Flips, and Turns
Directions: Choose the correct answer to each of the following problems.
1.The above arrow moved 90° to the right. This is an example of a ______.
A. slideB. flipC. turn
2.The example below is a demonstration of a ______.
A. slideB. flipC. turn
3.The change in the position of the triangles in Set A to the position of the triangles in Set B is an illustration of a ______.
A. slideB. flipC. turn
4.The example below is a demonstration of a ______.
A. slideB. flipC. turn
5.In the example below, the triangles going from left to right is an illustration of a ______.
A. slideB. flipC. turn
6.What is it called when the arrow in picture A is moved up to the position in picture B?
A. slideB. flipC. turn
7.The arrow below in picture B is a mirror image of the arrow in picture A. This transformation is called a ______.
A. slideB. flipC. turn
8.Moving the triangle from Point A to Point B is called a ______.
A. slideB. flipC. turn
9.The example below is a demonstration of a ______.
A. slideB. flipC. turn
10.
Which of the above illustrations represents a flip?
A. Figure A B. Figure B C. Figure CD. Figure D
Chapter 8 – Geometry- Lesson 8-7 Symmetry
Content Text Pages 456- 457
Name: ______
For each flag, draw the line of symmetry (if there is one).
Chapter 8 – Geometry- Lesson 8-8 Similar Figures
Content Text Pages 458- 459
Name: ______
Do the figures in each pair appear to be similar? If so are they also congruent?
Chapter 8 – Geometry- Lesson 8-10Perimeter
Content Text Pages 464- 465
Name: ______
1. Mrs. Ames wants to buy carpet for the room shown below.
2. Beth is making a lid for her jewelry box with square tiles, as shown below.
3. Look at the rectangles below.
Find the perimeter of the following polygons. The first three areREGULAR polygons.
Chapter 8 – Geometry- Lesson 8-11Area
Content Text Pages 468- 471
Name: ______
Find the areas of the following shapes.
Chapter 8 – Geometry- Lesson 8-13Volume
Content Text Pages 468- 471
Name: ______
Find the volume of the following shapes.
V = ______V = ______V = ______
A rectangular Prism has a length of 7 cm,
a width of 4 cm, and a height of 3 cm.
What is the volume of this prism? ______
The length of an edge of a cube is,
5 ft. What is the total volume of two
Cubes of the same size? ______
If a cube has a volume of 64 cubic units,
How long is each edge? ______
Find the volume of the following shape. The triangle is a right triagle.
______
Chapter 8 – Geometry- Lesson 8-13Circumference of Circles
Content
Name: ______
To find the circumference of a circle.
Firstly we need to find the radius
The radius is half the length of the diameter
r =
r = 3 cm
So C = 2 π r
C = 2 × 3.14 × 3
= 18.84 cm
Exercise 1
Find the circumference of each of the following circles
1.2.3.
4.5.6.
Chapter 8 – Geometry- Lesson 8-13Circumference of Circles
Content
Name: ______
Find the CIRCUMFERENCEof the following circles
1.2.
3.4.
5.6.
Chapter 8 – Geometry- Lesson 8-14AREA of Circles
Content
Name: ______
Find the area of the following circles
1.2.
3.4.
5.6.
Chapter 8 – Geometry- Lesson 8-13 Extra Circumference of Circles
Content
Name: ______
Exercise
1.A circular pond has a diameter of 3.2 m.
a)What is the area of the pond?
b)What is the circumference?
2.A baseball stadium has a circular patch with a radius of 100 metres.
a)The groundsman is going to use a fertilizer and needs to know the area of the pitch. What is the area?
b)He also needs to know what the distance is all the way round. What is this dimension called and what is its value?
3.The diameter of the Earth at the equator is rather difficult to measure – we would need to dig a very long tunnel!! It is much easier to measure the circumference. The circumference of the Earth is 40,000 km. Can you calculate its diameter?
You could use a calculator and trial and improvement but make a note of each trial and the result.
Chapter 8 – Geometry- Lesson Area
Content
Name: ______
For each of the following shapes find:
a)the perimeter or circumference
b)the area
1.
2.6 cm
4.3 cm
2.
5 cm
13 cm
3.
6 cm
5 cm5 cm
10 cm
4.
Chapter 8 – Geometry- Lesson Area
Content
Name: ______
For each of the following shapes find:
a)the perimeter or circumference
b)the area
A window frame in the shape of a rectangle is 90 centimeters long and 40 centimeters wide What is the perimeter of the window frame?
What is the area of the shaded part of the floor?
Find the Area of the following figures
1.______
2.______
3. ______
4.______
5.______
Tutorials
The area of a composite shape is calculated by splitting the shape into separate shapes. The area of each one is then calculated and the areas are added together to find the total area. In examples below the shapes have been divided into two shapes.
Example 1
Area of shapeA = 6 × 4 = 24 cm2
B = 3 × 2 = 6 cm2
Total Area = 24 + 6
= 30 cm2
Example 2
Area of shape C = (5 × 4)= 10 cm2
D = 4 × 3= 12 cm2
Total Area =10 + 12
= 22 cm2
The distance around the edge of a circle has a special name. It is called the circumference.
The circumference is just like the perimeter but is only used when talking about circles.
If you know the radius or the diameter of a circle you can calculate its circumference.
The circumference is given by:
C = 2 π r
π is a special number and is always 3.14
Example 1
C = 2 π r
C = 2 × 3.14 × 5
Circumference = 31.4 cm
Example 2
Firstly we need to find the radius
The radius is half the length of the diameter
r =
r = 3 cm
So C = 2 π r
C = 2 × 3.14 × 3
= 18.84 cm
The area of a circle is given by
Area = π × (radius) 2
A = π r 2
Example
Area = π r 2
= π × 52
= 3.14 × 25
= 78.5 cm2
Remember that area always has square units. In this case since the radius is in cm, the area is in square centimetres (cm2)
In a parallelogram the opposite sides are parallel.
Parallelogram area = b × h
A = b × h
Base (b)
Example
6 cm
8 cm
Area = b × h
= 8 × 6
= 48
Area = 48 cm2
Height (h)Triangle Area = Base × Height = b × h
2 2
Base (b) A = b × h
2
Trapezium Area = (a + b) × Height (h)
Height 2
(h)
Base (b) A = (a + b) × h
2
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