Basic Constructions Skill 06.

Slides:



Advertisements
Similar presentations
Construction in Geometry
Advertisements

LESSONS 1-5 TO 1-7 Accelerated Algebra/Geometry Mrs. Crespo
DO NOW Sketch each figure. CD GH AB Line m Acute ABC XY II ST.
Geometric Constructions: Congruent Segments and Congruent Angles Geometry Mr. Zampetti Unit 2, Day 1.
Warm Up 1. Find CD Find the coordinate of the midpoint of CD. –2.
Mrs. Rivas International Studies Charter School. Objective: To make basic construction using straightedge and compass. Vocabulary: Straightedge Straightedge.
1.5 Segment and Angle Bisectors Goal 1: Bisect a segment Goal 2: Bisect an angle CAS 16, 17.
Introduction Tangent lines are useful in calculating distances as well as diagramming in the professions of construction, architecture, and landscaping.
Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.
Bisecting Segments and Angles
1-2: Measuring & Constructing Segments. RULER POSTULATE  The points on a line can be put into a one-to-one correspondence with the real numbers.  Those.
Entry Task 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. Write expression for it.
1 Objectives: 1. Measure segments. 2. Calculate with measures. 1-2 Linear Measure and Precision.
Copy a segment Copy an angle
Constructions. Supplies Paper (thick stack) Compass Straight Edge.
1.6 Basic Constructions.
Constructions.
Copying Segments and Angles Adapted from Walch Education.
Success Criteria: I can use special geometric tools to make a figure that is congruent to an original figure without measuring I can apply this method.
CHAPTER 1: Tools of Geometry
1.7 Basic Constructions.
[1-6] Basic Construction Mr. Joshua Doudt Geometry (H) September 10, 2015 Pg
 TEKS Focus:  (5)(B) Construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector.
Construct: Use a compass and a straightedge to draw a geometric figure. Perpendicular Lines: Two lines that intersect to form two right angles. Perpendicular.
Geometry 1.2 Linear Measure.
Applied Geometry Lesson 1-5 Tools of the Trade Objective: Learn to use geometry tools.
Chapter 1: Tools of Geometry
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”
Warm Up – If you have a laptop Connect to the S-drive and copy this powerpoint to your desktop. My Computer – KL-student (S:) – Teachers – S-T-U – Sturtevant_M.
Unit 1 All About Angles and Constructions (not necessarily in that order) Ms. Houghton Geometry Honors Fall 2014.
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.
Lesson 10-1: Constructions 1 Lesson 10-1 Constructions.
GEOMETRY HELP Use the method learned for constructing congruent angles. Step 2: With the same compass setting, put the compass point on point N. Draw an.
Geometry |-35|, October 2012 HEAD UPS- new seats! HEAD UPS- new seats! 1)Warm up: (top front) a) Briefly define/ sketch a) Briefly define/ sketch.
Basic Geometric Constructions
Mechanical Drawing Lesson 5 Geometric Construction Created By Kristi Mixon.
{ Constructions Duplicating and Line and an Angle.
Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.
Construct TW congruent to KM.
Lesson 10-1: Constructions
Measuring and Constructing Segments
1.6 Basic Constructions SOL: G4 Objectives: The Student Will …
Constructing Bisectors
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
Geometric Constructions
Introduction Triangles are not the only figures that can be inscribed in a circle. It is also possible to inscribe other figures, such as squares. The.
Ch 1-6 Basic Constructions
Lines, Angles and Triangles
Introduction Two basic instruments used in geometry are the straightedge and the compass. A straightedge is a bar or strip of wood, plastic, or metal that.
Constructions.
5 Construction 2 Perpendicular Bisector of a Segment, Using Only Compass and Straight Edge Draw a line segment [CD]. Place the compass needle point on.
CONSTRUCTIONS.
Geometric Construction
Constructions.
Constructions.
1.2 Informal Geometry and Measurement
Day 36 – Copying and bisecting a line segment and an angle
Compass Constructions
Unit 2 – Similarity, Congruence, and Proofs
Sketch Definition: Free hand drawing. Looks like it should, but not perfect. No use of geometry tools. Use special marks to indicate right angles, congruent.
Lesson 10-1: Constructions
Constructing Parallel Lines
Measuring Segments Skill 03.
Use a ruler and a protractor to draw a segment 5 cm long and a 50 degree angle . Then use the ruler and a protractor to draw a bisector of the segment.
1.6 and 3.6 Constructions By Brit Caswell.
Basic Constructions.
Geometry Unit 1: Foundations
Constructions Lab.
3.7 Constructing Parallel and Perpendicular Lines
Presentation transcript:

Basic Constructions Skill 06

Objective HSG-GPE.12: Students are responsible for making basic constructions with a straight edge and compass.

Definitions A straightedge is a ruler with no markings on it. A compass is a geometric tool used to draw circles and parts of circles called arcs. A construction is a geometric figure drawn using a straightedge and a compass.

Definitions Perpendicular lines are two lines that intersect to form right angles. A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint.

Example 1; Construct Congruent Segments Construct a segment congruent to a given segment. 𝐺𝑖𝑣𝑒𝑛: 𝐴𝐵 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡: 𝐶𝐷 ≅ 𝐴𝐵 1) Draw a ray with endpoint C. 2) Open compass to length of 𝐴𝐵 . 3) Use that length with end on point C, draw and arc to intersect the ray. 4) Label intersection, point D. Therefore, 𝑪𝑫 ≅ 𝑨𝑩 .

Example 2; Construct Congruent Angles Construct an angle congruent to a given angle. 𝐺𝑖𝑣𝑒𝑛: ∠𝐴 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡:∠𝑆≅∠𝐴 1) Draw a ray with endpoint S. 2) With compass on point A, draw an arc that intersects both sides label, B and C. 3) With same compass setting and end on S, draw an arc and label the intersection R. 4) Open compass to length BC, use compass setting with end on R. Draw and arc intersecting previous arc, label point T. 5) Draw 𝑆𝑇 Therefore, ∠𝑺≅∠𝑨.

Example 3; Construct Perpendicular Bisector Construct a perpendicular bisector to the given segment. 𝐺𝑖𝑣𝑒𝑛: 𝐴𝐵 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡: 𝑋𝑌 such that 𝑋𝑌 ⊥ 𝐴𝐵 and 𝐴𝑀 ≅ 𝐵𝑀 . 1) Put compass end on A. draw big arc, in which opening is greater than 1 2 𝐴𝐵. 2) Using same compass setting, put compass end on B, draw big arc so that arcs intersect. 3) Label intersections X and Y. 4) Draw 𝑋𝑌 , label intersection M. Therefore, 𝑿𝒀 ⊥ 𝐴𝐵 & 𝐴𝑀 ≅ 𝐵𝑀 .

Example 4; Construct Angle Bisector Construct an angle bisector of the given angle. 𝐺𝑖𝑣𝑒𝑛:∠𝐴 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡: 𝑋𝑌 such that 𝑋𝑌 ⊥ 𝐴𝐵 and 𝐴𝑀 ≅ 𝐵𝑀 . 1) Put compass end on A, draw arc intersecting both angle sides, label B and C. 2) Put compass on B, draw arc. 3) Using same compass setting, put compass on C, draw arc, label intersection D. 4) Draw 𝐴𝐷 Therefore, 𝑨𝑫 is the bisector of ∠𝑪𝑨𝑩.

#06: Basic Constructions Questions? Summarize Notes Homework Quiz