A locus is a set of points that satisfy a rule. It can be a line, a curve or a region. A locus is a set of points that satisfy a rule. It can be a line,

Slides:

Advertisements

Similar presentations

ENGINEERING GRAPHICS 1E7

Advertisements

District maths coordinator

A Triangle given the 3 sides

Loci The locus of a point is the path traced out by the point as moves through 2D or 3D space. In Loci problems you have to find the path for a given.

Draw and label on a circle:

4-5 Isosceles and Equilateral Triangles Learning Goal 1. To use and apply properties of isosceles and equilateral triangles.

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).

MATHS PROJECT CONSTRUCTIONS.

GCSE: Constructions & Loci Dr J Frost Last modified: 28 th December 2014.

Loci Objectives: Grade DUnderstand the idea of a locus Grade CConstruct accurately loci, such as those of points equidistant from two fixed points Solve.

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.

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.

Essential Question: How do I construct inscribed circles, circumscribed circles Standard: MCC9-12.G.C.3 & 4.

Ruler &Compass Constructions

4.5 - Isosceles and Equilateral Triangles. Isosceles Triangles The congruent sides of an isosceles triangles are called it legs. The third side is the.

6.3 – 6.4 Properties of Chords and Inscribed Angles.

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.

How to construct a line perpendicular to a given line L through point A on L. Steps: Construction: 1. Let B be an arbitrary point on Line L 2. Construct.

1. 3x=x y+5y+66= x+14x= a 2 +16=25 Note: A diameter is a chord but not all chords are diameters.

[10.2] Perpendicular Bisector  Draw a Chord AB  Find the Midpoint of AB (Label it M)  From M, draw a line through O  What do you notice? Circle #1.

Loci A Locus is any set of points which follow a pattern or rule. You will now meet some of the most common Loci (that means more than one Locus) in the.

Loci and Construction Latin word meaning ‘place’ (as in locomotive: moving place) Today you will learn how to use Construction to provide solutions to.

11-2 Chords & Arcs 11-3 Inscribed Angles

Quality resources for the mathematics classroom

1.7 Basic Constructions.

Geometric Constructions

Circle Properties. Draw a Circle Draw a Chord Draw radii from ends of chord Draw lines from each end of line to meet on circumference a b Measure angles.

Circle Loci 1. The locus of a point that moves so that it remains a constant distance from a fixed point p? p The locus of a point is the path traced.

Day 36 Triangle Segments and Centers. Today’s Agenda Triangle Segments Perpendicular Bisector Angle Bisector Median Altitude Triangle Centers Circumcenter.

Shape and Space CIRCLE GEOMETRY. Circle Geometry Rule 1 : ANGLE IN A SEMICIRCLE = 90° A triangle drawn from the two ends of a diameter will always make.

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.

Objective: Inscribe and circumscribe polygons. Warm up 1. Length of arc AB is inches. The radius of the circle is 16 inches. Use proportions to find.

Loci. What is a locus? A locus is all the possible positions that can be describer by a rule E.g. Describe the locus of an object that is always 2cm from.

Construction 1a Construct a triangle (ASA)

Constructing Perpendicular Bisectors and Lines Right angles Cut in Half.

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.

The diagram shows the wall of a house drawn to a scale of 2cm to 1m. A dog is fastened by a lead 3m long to a point X on a wall. Shade on the diagram.

5.3 – Use Angle Bisectors of Triangles. Construct  line through point not on line AB P Q.

Circle Theorems The angle at the centre is twice the angle at the circumference for angles which stand on the same arc.

Mechanical Drawing Lesson 5 Geometric Construction Created By Kristi Mixon.

CIRCLE THEOREMS LO: To understand the angle theorems created with a circle and how to use them. Draw and label the following parts of the circle shown.

Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.

Triangle Given Sides and Angle

A burglar is halfway up a ladder when it slips backwards at the base

Perpendicular bisector of a line.

Press Esc on Keyboard to Exit © Project Maths Development Team 2009

Compass/Straight Edge

Literacy Research Memory Skill stretch

CHAPTE R The concept of Two-Dimensional Loci

ENGN103 Engineering Drawing geometric constructions

GEOMETRIC CONSTRUCTION

Ruler &Compass Constructions

Constructions and Loci

04/12/2018 Drawing in maths – KEY WORDS Sketch

Constructions.

Compass/Straight Edge

Perpendicular bisector of a line.

Honors Geometry Unit 4 Project 1, Parts 3 and 4.

ENGN103 Engineering Drawing geometric constructions

GEOMETRICAL CONSTRUCTIONS

8. Constructions and Loci

3.3 Constructions of Equilateral Triangles and Isosceles Right Triangles TSWBAT: Construct equilateral and isosceles right triangles.

Using a protractor, draw the angles:

Presentation transcript:

A locus is a set of points that satisfy a rule. It can be a line, a curve or a region. A locus is a set of points that satisfy a rule. It can be a line, a curve or a region.

A 1 Find the locus of points that are 5 cm from the point A. The locus is a circle centre A, radius 5 cm.

A B The locus is made from two straight lines and two semicircles.

A B C The locus is the bisector of the angle BAC.

A B The locus is the perpendicular bisector of the line AB.

A B The locus is made from two straight lines that bisect the angles. C D

6The wheel is rolled along the ground. Draw the locus of the point P. Locus of P P

P 7The equilateral triangle is rolled along the ground. Draw the locus of the point P.

8Two goats are tethered by a piece of rope to opposite corners of a field. The pieces of rope are 9 meters long. The field is 10 metres by 14 meters. Find the locus of points that can be reached by both goats. Locus of points

A B C

10 Construct the locus of points inside the triangle that are A B C nearer to the line AB than to the line AC less than 4 cm from the point B Label the locus of points R. First construct the bisector of angle CAB. Next draw the arc of a circle radius 4 cm with B as centre. R

11 Construct the locus of points inside the triangle that are nearer to A than to B nearer to the line AD than to the line AB Label the locus of points R. A B C D First construct the perpendicular bisector of AB. Next construct the bisector of angle DAB. R