CONSTRUCTIONS

This Week MONDAY: Copying a segment; copying an angle; bisecting an angle Resource: Basic constructions.pdf Homework: constructions_practice.pdf TUESDAY: Constructing perpendicular lines and parallel lines Resource: Construction Notes Day 2.doc Homework: Parallel Lines.pdf - page 2 & 3 WEDNESDAY: Constructs equilateral triangle, square and regular hexagon inscribed in circle Resources: Construction of equilateral triangle.doc Construction of square.doc Construction of Hexagon.doc Homework: Multiple choice constructions.doc THURSDAY: Students can either work on practice or create a project using constructions Resources: Construction Project.doc Practice Construction.doc Homework: Finish anything not completed in class. FRIDAY: QUIZ

Objective: I can construct various geometric objects using a variety of tools and methods.

Day 1 – DO NOW Using your phone or Geometry book - look up & write the following definitions: Arc: Congruent:

A Little More Vocabulary An Arc is any part of a circle. To name an Arc –Arcs are named by their endpoints. Definition: Given two points on a circle, the minor arc is the shortest arc linking them. The major arc is the longest. Name the major arc Name the minor arc

One More Vocabulary Word Congruent means equal in size and shape. Symbol for congruence is

Basic Constructions Worksheet Student Activity Basic Constructions Worksheet

Day 1: EXIT TICKET Describe the process for constructing one of the following: Congruent Line Segments Congruent Angles Bisecting Angle

DAY 2: DO NOW: Match the word in column A to the picture in column B

MORE VOCABULARY Perpendicular Bisector of a segment is a line, segment or ray that is perpendicular to the segment at it’s midpoint.

Bisecting a line segment Step 1: Put compass on one end point – make sure compass is opened greater than ½ of AB Step 2: Draw an arc on line AB Step 3: Using the same measurement on the compass, repeats steps 1 and 2 using endpoint B on line segment Step 4: Use the straight edge to connect the intersections of the two arcs. Label the bisector XY and the midpoint M.

Constructing perpendicular line Through A POINT ON THE LINE Step 1: Put compass on point C. Make sure compass is less than ½ the measure of N. Make an arc on line N on both sides of point C using the same measurement of the compass. Label these points A and B Step 2: Put compass on point A – make sure compass is opened greater than ½ of AB Step 3: Draw an arc on line AB Step 4: Using the same measurement on the compass, repeats steps 1 and 2 using endpoint B on line segment Step 5: Use the straight edge to connect the intersections of the two arcs. Label the line segment DC.

Constructing perpendicular line Through A POINT NOT ON THE LINE Step 1: Put compass on point Z. Draw an arc that intersects line N twice. Label intersections X and Y. Step 2: Make sure compass measures greater than ½ the length of XY, Put compass on point X and draw an arc on line M Step 3: Using the same measurement on the compass, repeats step 2 using point Y Step 4: Use the straight edge to connect the intersections of the two arcs. Label the line segment ZA

Constructing Parallel lines – method 1 Step 1: Draw any line through point Z connecting to Line M. Label this line k Step 2: Use directions to construct a congruent angle at Point Z on opposite side of line k Step 3: Extend the line of new angle through point Z. Label new line N

Constructing Parallel lines – method 2 Step 1: Construct a perpendicular line through point Z. Label line K Step 2: Construct a perpendicular line through a point on line N. Label line L Lines K and L will be parallel.

Exit Ticket – Day 2 Which method for constructing parallel lines do you like better? Why? Explain the steps for constructing parallel lines for the method you like best.

DO NOW – Day 3 Using your phone or geometry book, look up the following definitions and draw an example. Inscribed: Circumscribed:

Constructing Equilateral Triangle http://www.mathopenref.com/constequilateral.html

Construction of a square inscribed in a circle http://www.mathopenref.com/constinsquare.html

CONSTRUCTION OF A REGULAR HEXAGON INSCRIBED IN A CIRCLE http://www.mathopenref.com/constinhexagon.html

Day 3 – EXIT TICKET Explain what is meant by the word ‘inscribed’ Draw a picture of a circle inscribed in a triangle

Day 4 – DO NOW Today you can pick what you will work on… Practice worksheet – with 7 constructions Create a picture using 4 distinct constructions It will be due at the beginning of class tomorrow – BEFORE your quiz.