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Properties of Geometrical Figures - Yr 9
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1. Lesson 1 - Angles Review
- Simple Angles Review
- Angles at a Point Review
- Triangle Review
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2. Lesson 2 - Parallel Lines Review
- Corresponding Angles
- Alternate Angles
- Co-interior Angles
- Overall summary
- Angle between two parallel lines
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3. Lesson 3 - Polygon Review
- Quadrilateral Review
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4. Lesson 4 - Interior angle sum of polygons
- Quick Overview of Polygons
- Interior Angles of Polygons
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5. Lesson 5 - Exterior angle sum of polygons
- Exterior Angles Relationships of Polygons
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6. Lesson 6 - Congruent Shapes
- Congruent Shapes
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7. Lesson ? - Similar Figures
- Similar Shapes
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Properties of Geometrical Figures - Yr 9
Ryan Smith, Apr 13, 2020
Table of Contents
- Lesson 1 - Angles Review
- Simple Angles Review
- Angles at a Point Review
- Triangle Review
- Lesson 2 - Parallel Lines Review
- Corresponding Angles
- Alternate Angles
- Co-interior Angles
- Overall summary
- Angle between two parallel lines
- Lesson 3 - Polygon Review
- Quadrilateral Review
- Lesson 4 - Interior angle sum of polygons
- Quick Overview of Polygons
- Interior Angles of Polygons
- Lesson 5 - Exterior angle sum of polygons
- Exterior Angles Relationships of Polygons
- Lesson 6 - Congruent Shapes
- Congruent Shapes
- Lesson ? - Similar Figures
- Similar Shapes
Simple Angles Review
Acute and Obtuse Angles
Use the animation below to explore and review the differences between acute and obtuse angles. Use the checkboxes to make the examples visible or invisible. Use the sliders to adjust and change the angles.
Reflex Angles
Use the animation below to explore reflex angles.
Right and Straight angles
Straight angles are the angles formed by three points on a straight line. The angle is equal to 180. Right angles have a value of 90 and they resemble a corner.
Revolution Angles
A revolution is a 360 angle - one complete revolution or full circle.
Summary of Angles
Corresponding Angles
When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines being crossed are parallel, the corresponding angles formed by the transversal are equal. Use the animations below to explore, visualize and verify corresponding angles.
Summary
If the two lines are not parallel, then the corresponding angles formed by the transversal are not equal. When the two lines are parallel (the 'arrow' markings tell you this), the transversal forms corresponding angles that are equal.
Quadrilateral Review
Quadrilaterals - More Detail
There are two main ways to determine if a polygon is convex or non-convex. Either by observing the interior angles or the diagonals.
Convex vs Non-convex Quadrilaterals
Sum of interior angles of a quadrilateral
Quick Overview of Polygons
General overview of the names of polygons and the number of sides
Exterior Angles Relationships of Polygons
Congruent Shapes
Congruence Defined
Two figures are congruent if they are identical in shape and size.
For congruent figures:
- matching sides are equal
- matching angles are equal
Conditions for Congruence
Tests for congruence for triangles
SAS Test Visualized
SSS Test Visualized
SSS Test Visualized
AAS Test Visualized
Right Angle, Hypotenuse, Side test Visualized
Similar Shapes
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