Unit 1 Review Geometry 2010 – 2011. The Buildin g Blocks The ‘Seg’ Way Is that an angle? Point of that Triangle ! ConstructSolv e it! We All Like Change.

Slides:



Advertisements
Similar presentations
Day 7.
Advertisements

Bisectors in Triangles Academic Geometry. Perpendicular Bisectors and Angle Bisectors In the diagram below CD is the perpendicular bisector of AB. CD.
Chapter 4: Congruent Triangles
Geometry Review Test Chapter 2.
Chapter 5 Properties of Triangles Perpendicular and Angle Bisectors Sec 5.1 Goal: To use properties of perpendicular bisectors and angle bisectors.
4-7 Median, Altitude, and Perpendicular bisectors.
5.1: Perpendicular Bisectors
Using properties of Midsegments Suppose you are given only the three midpoints of the sides of a triangle. Is it possible to draw the original triangle?
CHAPTER 4: CONGRUENT TRIANGLES
Geometry (Holt 3-4)K.Santos. Perpendicular Bisector Perpendicular bisector of a segment is a line perpendicular to a segment at the segment’s midpoint.
Bell Problem. 5.2 Use Perpendicular Bisectors Standards: 1.Describe spatial relationships using coordinate geometry 2.Solve problems in math and other.
Geometry Chapter 5 Benedict. Vocabulary Perpendicular Bisector- Segment, ray, line or plane that is perpendicular to a segment at its midpoint. Equidistant-
a location in space that has no size.
Chapter 1.1 Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions.
Basic Definitions in Geometry
SEGMENT AND ANGLE RELATIONSHIPS
Points of Concurrency in Triangles Keystone Geometry
Section 1-5: Constructions SPI 32A: Identify properties of plane figures TPI 42A: Construct bisectors of angles and line segments Objective: Use a compass.
Unit 8 Review. Which of the following shapes are CONGRUENT?
Chapter 1.4 – 1.7 By: Lindsey Harris and Lydia Pappas Click Here For the Best Website Ever!
Geometry Vocabulary Chapter 9.
Geometry Ch 1.1 Notes Conjecture – is an unproven statement that is based on observation Inductive Reasoning – is a process used to make conjectures by.
Concurrent Lines Geometry Mrs. King Unit 4, Day 7.
Goal 1. To be able to use bisectors to find angle measures and segment lengths.
Triangles Review.
Objective 1.01 Apply the properties and definitions of lines and angles to model and solve problems. Vocabulary Acute: an angle that measure less than.
Points, Lines, and Planes Sections 1.1 & 1.2. Definition: Point A point has no dimension. It is represented by a dot. A point is symbolized using an upper-case.
CHAPTER 1: Tools of Geometry
Geometry in Robotics Robotics 8.
Aim: How do we use a compass and straightedge to perform all compass constructions? DO NOW! – Using the given line, construct a 45 degree angle. A.
Some Basic Figures Points, Lines, Planes, and Angles.
Sections By: Emily and Becca. 1.4 Geometry using Paper Folding Perpendicular Lines- Two lines that intersect to form a right angle. Parallel.
10/31/ : Geometry using Paper Folding 1.4: Geometry Using Paper Folding Expectations: G1.1.3: Perform and justify constructions, including midpoint.
1.7 Basic Constructions.
CHAPTER 5 Relationships within Triangles By Zachary Chin and Hyunsoo Kim.
Your 1 st Geometry Test A step by step review of each question.
Unit 1 Learning Outcomes 1: Describe and Identify the three undefined terms Learning Outcomes 2: Understand Angle Relationships.
Bisectors of a Triangle
5.3: Concurrent Lines, Medians and Altitudes Objectives: To identify properties of perpendicular bisectors and angle bisectors To identify properties of.
Basics of Geometry Defining Terms
Perpendicular Bisectors ADB C CD is a perpendicular bisector of AB Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector.
Section 5-1 Perpendiculars and Bisectors. Perpendicular bisector A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.
Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.
Concurrencies for Medians, Altitudes, and Bisectors
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”
Bellringer! Solve the following equations 1.P – 1 = 5P + 3P – = -(y + 4) 3.(2 + 6 x – 4) x 2 = ? 4.(5 + 16) ÷ 7 – 2 = ?
SPECIAL SEGMENTS IN TRIANGLES KEYSTONE GEOMETRY. 2 SPECIAL SEGMENTS OF A TRIANGLE: MEDIAN Definition of a Median: A segment from the vertex of the triangle.
1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.
Daily Warm-Up Quiz F H, J, and K are midpoints 1. HJ = __ 60 H 65 J FG = __ JK = __ m < HEK = _ E G Reason: _ K 3. Name all 100 parallel segments.
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.
Welcome to Geometry Unit 1 Vocabulary. Undefined Terms Point In Euclidean geometry, a point is undefined. You can think of a point as a location. A point.
Chapter 5.2 & 5.3 BISECTORS, MEDIANS AND ALTITUDES.
Perpendicular Bisectors and Altitudes of Triangles.
What kind of angle is
Slide 1-1 Copyright © 2014 Pearson Education, Inc. 1.6 Constructions Involving Lines and Angles.
Vocabulary and Examples
Angle Relationships.
Triangles Review.
1.2 Informal Geometry and Measurement
Geometry vocab. tHESE SHOULD also be DONE ON INDEX CARDS AND YOU SHOULD BE CONSTANTLY REVIEWING THEM AS WE GO!
1-5 Angle Relations.
Basic Definitions G.CO.1 and G.CO.12 Objectives 1, 3, 6.
5.3 Medians and Altitudes of a Triangle
Measures and Relationships
Properties of Triangles
Vocabulary undefined term point line plane collinear coplanar
Reflections Geometry.
Unit 8 Review.
Transversal: A line that intersects two coplanar lines
concurrency that we will be discussing today.
Presentation transcript:

Unit 1 Review Geometry 2010 – 2011

The Buildin g Blocks The ‘Seg’ Way Is that an angle? Point of that Triangle ! ConstructSolv e it! We All Like Change

1. Any two _________ define a line. 2. Any three ________ points define a plane. 3. The intersection of two lines is a ________. 4. The intersection of two planes is a _______. 5. If two points lie on a plane, then the line containing them _______________.

1. Name the intersection of line n and segment AI. 2. Name the intersection of planes Q and MPT. 3. Name three coplanar points in the figure. 4. Name plane Q another way.

 Show how the following are written by providing an example: 1. Point 2. Line 3. Plane 4. Ray 5. Segment 6. Angle

 Line CD is the perpendicular bisector of segment AB. If AM = 14, find AB.

 Points Y, G, and B are located on a straight line. B is between Y and G. If YB is 6 less 4 times the length of BG, and YG = 34, find YB.

 Find the length of the segment from to

 State the definitions of the following:  Acute angle  Obtuse angle  Reflex angle  Right angle  Straight angle

 Describe the relationship between angles a and b.

1. The intersection point of the angle bisectors of the angles of a triangle is the center of the ____________________________ circle of the triangle. 2. The intersection point of the perpendicular bisectors of the sides of a triangle is the center of the ______________________________ circle of the triangle.

 Explain how the following diagram was created.

 What are the special lines that run through the vertex to the midpoint of the opposite side of a triangle called?  [not on the test]

 Draw the segment that represents the distance from the point to the line.

 Draw the perpendicular bisector of the segment below.

1. Draw the angle bisector of the angle below. 2. Place point C in the INTERIOR of the angle.

 Name all congruent segments. A B D C E F

 If m ∠ XAC = 14x – 10 and m ∠ BAX = 46°, find x.

 Use the rule T(x,y) = (-x, y) to transform the figure in the coordinate plane at the right.

 Identify the transformation shown below.

 Describe the transformation that results after applying the rule T(x,y) = (x – 4, -y) to a figure in the coordinate plane.

 Use the rule T(x,y) = (x – 2, y + 1) to transform the figure in the coordinate plane. Label your image.