Perpendicular from a Point outside a Line

Slides:

Advertisements

Similar presentations

Chapter 10 Constructions.

Advertisements

constructions A Triangle given 2 sides and an angle A Triangle given 2 sides and an angle.

A Triangle given the 3 sides

constructions Perpendicular from a Point outside a Line A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics)

constructions An angle of 90° at a given point on a line A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics)

Carmelo Ellul Construct an Angle of 60°

1. Given line l and point P, let’s construct a second line parallel to line l through point P. Worksheet 3-15: Constructing Parallel / Perpendicular Lines.

Tangents to a Circle.

constructions An angle of 90° at a given point on a line.

constructions A Straight Line constructions Task: Task: Construct a line XY of length 5.9 cm. X  Construct a line more than 5.9 cm long (about 8 cm).

constructions Construct an Angle of 60° constructions  Draw a straight line of any length and on it mark a point X.  Centre X, any radius, draw an.

constructions Bisecting an Angle constructions  Centre B and any radius draw an arc of a circle to cut BA and BC at X and Y.  Centre X any radius draw.

Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.

constructions The Perpendicular bisector of a Line.

Step 1: Draw line AB AB Step 2: Draw line AC C Bisecting An Angle Step 3: Draw an arc from point B Step 4: Draw an arc from point C Intersecting the first.

1.6 Basic Constructions.

constructions A Regular Hexagon A Regular Hexagon.

Constructing Bisectors. Bisecting a Segment A B 1)Place the needle of your compass on A. Make its width more than half-way to B, and make a half-circle.

CHAPTER 1: Tools of Geometry

1.7 Basic Constructions.

Drawing a Circumcircle. How to…. Step 1 Starting with a triangle with corners A, B and C, construct the perpendicular bisector of AB. To do this, set.

Menu Construction 1a Construct a triangle (ASA) Construction 1a Construct a triangle (ASA) Construction 1b Construct a triangle (SAS) Construction 1b.

3.1 Lines and Angles Unit IC Day 1. Do Now Parallel lines have _________ slopes. ◦ Give an example of a line that is parallel to y = -3x + 7 Perpendicular.

Lesson 1.7 – Basic Constructions “MapQuest really needs to start their directions on #5. Pretty sure I know how to get out of my neighborhood”

constructions The Perpendicular bisector of a Line A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics)

Draw a 9cm line and label the ends A and B. This is the line AB.

Constructions Bisect – To divide something into two equal parts Perpendicular – Lines that intersect to form right angles. Today’s constructions: –Bisect.

Straight lines tangent to circles. Find the perpendicular bisector between the centres Draw arc from bisector through centres.

Triangle Given Sides and Angle

More Constructions.

Perpendicular bisector of a line.

1.6 Basic Constructions SOL: G4 Objectives: The Student Will …

Graphic Communication

Construction 1a Construct a triangle (ASA)

ENGINEERING GRAPHICS.

Polygon Constructions

ENGN103 Engineering Drawing geometric constructions

Concentric and Tangent Circles

PARTS OF A CIRCLE.

Area of Shapes The area of a shape is the space it occupies.

ENGN103 Engineering Drawing geometric constructions

Construct an Octagon Inside of a Circle

GEOMETRIC CONSTRUCTION

A Regular Hexagon Carmelo Ellul Head of Department (Mathematics)

PYTHAGORAS THEOREM Carmelo Ellul AB2 = AC2 + CB2

Carmelo Ellul Bisecting an Angle Head of Department (Mathematics)

TO CONSTRUCT REGULAR POLYGONS

A Straight Line Carmelo Ellul Head of Department (Mathematics)

MATHEMATICS WORKSHEET

Graphs The Plot Area Carmelo Ellul

A Triangle given a side and 2 angles

A Triangle given the 3 sides

A Regular Polygon Carmelo Ellul Head of Department (Mathematics)

Pythagoras’ Theorem… ...a pictorial proof Carmelo Ellul

The Perpendicular bisector of a Line

Rotational Symmetry Carmelo Ellul Head of Department (Mathematics)

Constructions.

1.2 Informal Geometry and Measurement

A Triangle given a side and 2 angles

9.3 Graph and Write Equations of Circles

Perpendicular bisector of a line.

Geometry Equations of Circles.

Points, Lines, and Planes QUICK DRAW FOR POINTS!

Principle of Geometric Construction (I) Prepared by: Asst. lecture

ENGN103 Engineering Drawing geometric constructions

Graphic Communication

PARTS OF A CIRCLE.

GEOMETRICAL CONSTRUCTIONS

Everybody knows these are NOT circles. But why?

Presentation transcript:

Perpendicular from a Point outside a Line A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics)

Perpendicular from a Point outside a Line Task: From point A construct a line perpendicular to XY. A X Y F G Conclusion: Construction: AB  XY. Join AB. Centre A and any sufficient radius draw an arc of a circle to cut XY at F and G. AB is the perpendicular to XY. Label the point of intersection B. Centre G and same radius draw another arc. Centre F and sufficient radius draw an arc. B

Perpendicular from a Point outside a Line Task: From point A construct a line perpendicular to XY. A X Y RESTART END SHOW F G Conclusion: AB  XY. B