Planar Geometry

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Unit Content:

Define: alternate, corresponding & co-interior angles

Discover angle relationships in parallel lines

Use equations to solve problems in angle relationships and polygons.

Angles relationships in polygons, exterior & interior

Discover the angle sum formula
Reasoning in geometry

Perform the following constructions with a straight edge, set square and compass: a 30, 45, 60 and 120 degree angle, perpendicular line from a point above a line segment, perpendicular line at a point on a line segment

Construct hexagon, square, equilateral triangle, dodecagon and pentagon from circle.

Know and Use the terms concave shape, convex shape

Name triangles with 3 Capital letters.

Discover the properties of the following polygons: (angle sum, lines of symmetry, congruent sides), equilateral, isosceles, right and scalene triangles; the following Special Quadrilaterals: square, rectangle, parallelogram, kite, arrowhead, rhombus

In relation to the polygons above use the following properties: number of lines of symmetry, equal sides, parallel lines, sum of angles, equal angles, right angles, reflex angles,
Revision from Year 7



Research: The Flower of Life
What is it's history?
What does it mean?
Where can it be found?
Can you draw it?

Constructions with a Compass and a Straight Edge


Bisecting a Line Segment



Bisecting an Angle


Constructing Perpendicular Lines

Perpendicular Bisector

Hexagon

Regular Pentagon

Dodecagon

Constructing 30, 45, 60, 90, and 120 degree angles

Angle Bisector