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

Slides:



Advertisements
Similar presentations
District maths coordinator
Advertisements

Chapter 10 Constructions.
1 PerpendicularLines Press Ctrl-A ©2009 G Dear – Not to be sold/Free to use Stage 4 Years 7 & 8.
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°
Polygon from a known side
OBJECTIVES: STUDENTS WILL BE ABLE TO… USE THE RELATIONSHIP BETWEEN A RADIUS AND A TANGENT USE THE RELATIONSHIP BETWEEN 2 TANGENTS FROM ONE POINT FIND THE.
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 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).
Mrs. Rivas International Studies Charter School. Objective: To make basic construction using straightedge and compass. Vocabulary: Straightedge Straightedge.
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.
Ruler &Compass Constructions
constructions A Regular Hexagon A Regular Hexagon.
Coatbridge High School Tangency 2 Lines A Curve Tangential to 2 Lines Draw two arcs with the centre on the lines Draw two lines parallel to the other.
© T Madas
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
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.
Math 9 Unit 4 – Circle Geometry. Activity 3 – Chords Chord – a line segment that joints 2 points on a circle. A diameter of a circle is a chord through.
Menu Construction 1a Construct a triangle (ASA) Construction 1a Construct a triangle (ASA) Construction 1b Construct a triangle (SAS) Construction 1b.
Year 8: Constructions Dr J Frost Last modified: 27 th September 2015.
Geometric Constructions
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.
Construction 1a Construct a triangle (ASA)
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.
1-6 Basic Constructions.
1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.
Constructing Triangles Tri 1 side/2 angles Constructions Example 1: To construct a triangle of base 9 cm with angles of 35 o and 65 o. To construct a.
Basic Geometric Constructions
Chords and Arcs Geometry 11-2.
Triangle Given Sides and Angle
Perpendicular bisector of a line.
1.6 Basic Constructions SOL: G4 Objectives: The Student Will …
Constructing Bisectors
Regular Geometry Shapes
Perpendicular line Construction
Ch 1-6 Basic Constructions
Polygon Constructions
ENGN103 Engineering Drawing geometric constructions
ENGN103 Engineering Drawing geometric constructions
A Regular Hexagon Carmelo Ellul Head of Department (Mathematics)
Ruler &Compass Constructions
Carmelo Ellul Bisecting an Angle Head of Department (Mathematics)
TO CONSTRUCT REGULAR POLYGONS
A Straight Line Carmelo Ellul Head of Department (Mathematics)
Perpendicular Bisector of a Line
A Triangle given the 3 sides
Angle Bisector Construction
Perpendicular from a Point outside a Line
The Perpendicular bisector of a Line
TEE SQUARE, SET SQUARES, COMPASS AND PROTRACTOR
Constructions.
Compass/Straight Edge
Perpendicular bisector of a line.
Construction Today you will learn:
ENGN103 Engineering Drawing geometric constructions
Constructing Parallel Lines
Basic Constructions Skill 06.
GEOMETRICAL CONSTRUCTIONS
Constructions with scale and compass.
Geometry Unit 1: Foundations
Welcome GCSE Maths.
Angle Bisector Construction
Presentation transcript:

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

constructions Task: Task: C is a point on line AB.  Centre O, radius OC, draw an arc to cut AB again at D.  Join DO and produce it to meet the circle at E.  Mark any point O outside AB.  Join CE.   ECB is 90°.  EC is the perpendicular to AB. Task: Task: C is a point on line AB. Using ruler and compasses construct an angle of 90° at C. Construction: An angle of 90° at a given point on a line C AB D O E Conclusion:

constructions Conclusion:   ECB is 90°.  EC is the perpendicular to AB. Task: Task: C is a point on line AB. Using ruler and compasses construct an angle of 90° at C.Task: An angle of 90° at a given point on a line C AB D Task: Task: C is a point on line AB. O E RESTART END SHOW