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Study Notes Geometry. Symmetry  You will need to know how to complete a congruent side of a picture  To do this, you may choose from one of the following.

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Presentation on theme: "Study Notes Geometry. Symmetry  You will need to know how to complete a congruent side of a picture  To do this, you may choose from one of the following."— Presentation transcript:

1 Study Notes Geometry

2 Symmetry  You will need to know how to complete a congruent side of a picture  To do this, you may choose from one of the following  Use grid paper  Use a transparent mirror  Trace original side at a window or on a computer screen  When you are drawing the congruent half, measure the distance of a point to the line of symmetry at right angles and produce a matching point on the other side of the line – find at least three matching points to draw  Go to this link for more practice:  t.html#ch7 Lesson 1 t.html#ch7

3 Constructing Triangles  You need to know how to draw triangles when given angle measures and side lengths  Use a protractor and a ruler (your measurement needs to be within 2 degrees  Make sure your pencil is sharp  Know that when one side and one angle are given, there are infinite number of triangles that can be drawn  Always label side lengths showing units  Always label angles

4 Construct the following  One side length is 7cm and one angle is 80 degrees  One side length is 7cm and two angles are 80 degrees and 60 degrees  Two side lengths are 5cm each and the angle between them is 105 degrees  Practice on the following link:  entre/studtryout.html#ch7 Lesson 2 entre/studtryout.html#ch7

5 Classifying Triangles by Angles  Triangles can be named by looking at the angles and estimating right, obtuse or acute  Any triangle with a 90 degree angle is called a Right- Angled Triangle  Any triangle with one obtuse angle (over 90 degrees) is called an Obtuse-Angled Triangle  All angles must be acute angles to be called an Acute-Angled Triangle (think tiny and cute)  Some people just look for the largest angle of any triangle and classify (name it) based on that angle  Be sure to know how to order different polygons from greatest to least angle size  yout.html#ch7 Lesson 3 yout.html#ch7

6 Classifying Triangles by Side Lengths  Triangles can be named by looking at the side lengths  A triangle with three equal side lengths is called an Equilateral Triangle (think of equal)  A triangle with two equal side lengths is called an Isosceles Triangle (think of two eyes)  A triangle with three different side lengths is called a Scalene Triangle

7 Classifying Triangles by Side Lengths cont….  Know that an Equilateral Triangle has three lines of symmetry  Know that an Isosceles Triangle has one line of symmetry  Know that a Scalene Triangle has no lines of symmetry  centre/studtryout.html#ch7 Lesson 4 centre/studtryout.html#ch7

8 Measuring Angles in Polygons  Regular Polygons are shapes that have equal side lengths and equal angles

9 Measuring Angles in Polygons cont…  Regular Polygons  As the number of sides increases, so does the angle size increase  3-sided regular polygon is a triangle  4-sided regular polygon is a square  5-sided regular polygon is a pentagon  6-sided regular polygon is a hexagon (x)  8-sided regular polygon is an octagon

10 Measuring Angles in Polygons cont…  Irregular Polygons have different length sides and different size angles t.html#ch7http://mathk8.nelson.com/math5/studentcentre/studtryou t.html#ch7 Lesson 5

11 Properties of Polygons  Know that polygons can be described using the following properties  Number of sides and angles  Side lengths  Angle measures  Number of parallel sides  Number of lines of symmetry  Ticks show different side lengths  Arrows show parallel sides  Polygons have a fixed set of properties which do not change when the size or orientation is changed  When a shape is enlarged or shrunken, or moved to a different place, the angle measures stay the same, and the parallel sides and lines of symmetry do not change  yout.html#ch7 Lesson 6 yout.html#ch7

12 Sorting Polygons  You will need to identify the properties of the polygons in a Venn Diagram  You will be given a different property for each circle and polygons that have both of those properties go in the middle overlap  Polygons or circles that do not have either of the two properties, go outside of the Venn Diagram  tre/studtryout.html#ch7 Lesson 7 tre/studtryout.html#ch7

13 Sorting Polygons cont…  When sorting polygons, any of the following may be asked for:  Number of sides  Number of angles  Side lengths  Angle measures  Number of parallel sides  Number of lines of symmetry  Regular vs irregular polygons

14 Communicating about Shapes  You will need to be able to describe thoroughly the properties of polygons so that I would be able to draw the shape from your description  You need to use vocabulary from the list provided in the slide before  centre/studtryout.html#ch7 Lesson 8 centre/studtryout.html#ch7

15 More websites to visit  Mathfrog.ca  Mathies.ca  Khan Academy Study a little every night to assure you have a complete understanding of the concepts!


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