It’s Jeopardy! Special Edition Category 1Category 2Category 3Category 4Category 5 100 200 300 400 500.

Slides:



Advertisements
Similar presentations
Sara Wunderlich. Describe what a perpendicular bisector is. Explain the perpendicular bisector theorem and its converse. Give 3 examples of each. Perpendicular.
Advertisements

Day 36 Triangle Segments and Centers
Medians, Altitudes and 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?
OBJECTIVE: 1) BE ABLE TO IDENTIFY THE MEDIAN AND ALTITUDE OF A TRIANGLE 2) BE ABLE TO APPLY THE MID-SEGMENT THEOREM 3) BE ABLE TO USE TRIANGLE MEASUREMENTS.
Geometry Chapter 5 Benedict. Vocabulary Perpendicular Bisector- Segment, ray, line or plane that is perpendicular to a segment at its midpoint. Equidistant-
Chapter 5. Vocab Review  Intersect  Midpoint  Angle Bisector  Perpendicular Bisector  Construction of a Perpendicular through a point on a line Construction.
Warm- up Type 2 writing and Construction Write your own definition and draw a picture of the following: Angle Bisector Perpendicular Bisector Draw an acute.
GOALS: 1. To know the definitions of incenter, circumcenter, and centroid. 2. To identify the incenter, circumcenter, and centroid given a diagram. 3.
Triangles and their properties Triangle Angle sum Theorem External Angle property Inequalities within a triangle Triangle inequality theorem Medians Altitude.
 Perpendicular bisector – is a line that goes through a segment cutting it into equal parts, creating 90°angles  Perpendicular bisector theorem – if.
By: Ana Cristina Andrade
Chapter 5 Pre-AP Geometry
Medians, Altitudes and Concurrent Lines Section 5-3.
Angle Relationships, Similarity and Parallelograms.
Unit 5.
PROPERTIES OF TRIANGLES
5-1 Special Segments in Triangles. I. Triangles have four types of special segments:
TheoremIfThen If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half the distance. D.
Properties of Triangles
Chapter 5.1 Common Core - G.CO.10 Prove theorems about triangles…the segment joining the midpoint of two sides of a triangle is parallel to the third side.
Ticket In the Door Write out each of the following: 1.SSS Postulate 2.SAS Postulate 3.ASA Postulate 4.AAS Postulate.
Geometry Chapter 5 Review.
Chapter 5 Properties of Triangles Problems Chapter 5 Properties of Triangles Problems.
1 Triangle Angle Sum Theorem The sum of the measures of the angles of a triangle is 180°. m ∠A + m ∠B + m ∠C = 180 A B C Ex: If m ∠A = 30 and m∠B = 70;
Basics of Euclidean Geometry Point Line Number line Segment Ray Plane Coordinate plane One letter names a point Two letters names a line, segment, or ray.
Angle and Triangle Flash Cards
CHAPTER 5 Relationships within Triangles By Zachary Chin and Hyunsoo Kim.
MELANIE DOUGHERTY GEOMETRY JOURNAL 5. Describe what a perpendicular bisector is. Explain the perpendicular bisector theorem and its converse. A perpendicular.
Day 36 Triangle Segments and Centers. Today’s Agenda Triangle Segments Perpendicular Bisector Angle Bisector Median Altitude Triangle Centers Circumcenter.
Objectives To define, draw, and list characteristics of: Midsegments
VocabTheoremsPoints of Concurrency What’s Wrong? Solve It!Anything Goes… $ 100 $200 $300 $400 $500 J ΣθPARδY ! Mαth math Mαth JΣθPARδY! was created by.
Relationships Within Triangles Chapter5. Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is.
Unit 5 Notes Triangle Properties. Definitions Classify Triangles by Sides.
Geometry Review 1 st Quarter Definitions Theorems Parts of Proofs Parts of Proofs.
5.4 Medians and Altitudes A median of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side. –A triangle’s three medians.
Chapter 5 More Triangles. Mr. Thompson More Triangles. Mr. Thompson.
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.
Journal Chapter 5 Kirsten Erichsen Perpendicular Bisector and Theorem Angle Bisector and Theorem Concurrency Concurrency of Perpendicular Bisectors Circumcenter.
Chapter 5 Relationships within Triangles  Midsegments  Perpendicular bisectors - Circumcenter  Angle Bisectors – Incenter  Medians – Centroid  Altitudes.
Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.
What is a Perpendicular Bisector? A Perpendicular Bisector a line or ray that passes through the midpoint of the segment Theorem: If a line pass through.
TRIANGLES……. … TRIANGLES…. … AND… … MORE… TRIANGLES. Menu options ahead. Full screen to listen to music.
Geometry Sections 5.1 and 5.2 Midsegment Theorem Use Perpendicular Bisectors.
Points of Concurrency The point where three or more lines intersect.
By: Ana Julia Rogozinski (YOLO). - A perpendicular bisector is the division of a line when making two congruent halves by passing through its midpoint,
Pythagorean Theorem Theorem. a² + b² = c² a b c p. 20.
Perpendicular and Angle Bisectors Perpendicular Bisector – A line, segment, or ray that passes through the midpoint of a side of a triangle and is perpendicular.
 A line that bisects a segment and is perpendicular to that segment.  Any point that lies on the perpendicular bisector, is equidistant to both of the.
Chapter 5: Properties of Triangles Geometry Fall 2008.
Chapter 5, Section 1 Perpendiculars & Bisectors. Perpendicular Bisector A segment, ray, line or plane which is perpendicular to a segment at it’s midpoint.
Special Segments in a Triangle (pick a triangle, any triangle)
Daniela Morales Leonhardt
Bisectors, Medians, and Altitudes
Relationships within Triangles
5.1 Midsegments of Triangles
Geometry Midterm Review.
Perpendicular Bisector
Test Review.
Transformations Transformation is an operation that maps the original geometric figure, the pre-image , onto a new figure called the image. A transformation.
Special Segments in Triangles
Bisectors, Medians and Altitudes
Triangle Segments.
Day 1-2: Objectives 10-3 & 4-7 To define and identify the Incenter, Circumcenter, Orthocenter and Centroid of triangles. To apply the definitions of the.
Lesson 5-3: Bisectors in Triangles
Relationships Within Triangles
Y. Davis Geometry Notes Chapter 5.
Transformations and Congruence
Unit 6 Test Review
Presentation transcript:

It’s Jeopardy! Special Edition

Category 1Category 2Category 3Category 4Category

GIVE 3 STATEMENTS ABOUT A MIDSEGMENT

1. MIDSEGMENT IS ½ OF THIRD SIDE 2. MIDSEGMENT IS PARALLEL TO THE 3 RD SIDE. 3. CONNECTS THE MIDPOINTS

A TRIANGLE HAS SIDES OF LENGTH 10 AND 25. WHAT ARE POSSIBLE LENGTHS OF THE 3 RD SIDE ?

15<x<35

This point is equidistant from the vertices of the triangle.

circumcenter

“SSA” means the triangles are “always,” “sometimes” or “never” congruent.

SOMETIMES

THE EXTERIOR ANGLE OF A TRIANGLE IS THE SUM OF THE________?

2 REMOTE INTERIOR ANGLES

2 ANGLES ARE COMPLEMENTARY. THE MEASURE OF ONE IS 12 LESS THAN TWICE THE OTHER. WHAT IS THE SMALLER NUMBER?

34

TRUE OR FALSE?? THE VERTEX ANGLE IS ALWAYS BETWEEN CONGRUENT SIDES

TRUE

GIVEN PARALLEL LINES, THE ALTERNATE EXTERIOR ANGLES ARE: ALWAYS, SOMETIMES, OR NEVER, CONGRUENT.

ALWAYS

What is the point called?

What is the circumcenter?

85;25

AA~, SAS~, SSS~

What are 3 ways to prove ~ ∆’s?

Based on the diagram, which is a true which is a true statement? Ⓐ m A > m D Ⓑ m A < m D Ⓒ m A = m D Ⓓ E is the midpoint of BC

What is A?

List the sides in order from shortest to longest.

DC, BC, BD, AB, AD

If the conditional statement is TRUE then the _______________ is also always TRUE.

contrapositive

Find the slope and midpoint of a segment whose endpoints are: (1/2,-2) and 3,-1).

Slope is 2/5 and midpoint is (7/4, -3/2)

FIND THE SUM OF THE INTERIOR ANGLES AND THE SUM OF THE EXTERIOR ANGLES OF A NONAGON?

INTERIOR =1260 EXTERIOR=360

FIND THE RULE:1,5,12,22,35,51…..

(3N-1)N/2

TO ROTATE A FIGURE 120˚ CCW, YOU NEED ________LINES______APART.

INTERSECTING LINES 60˚ APART

What is the inverse the of the converse of : IF you study for final exams then you will have better grades.”?

You will not have better grades if you do not study for finals.

4, 400

Segment MP congruent to segment PQ

What should students bring to the final?

Calculator and #2 pencils with good erasers!

When is the geometry final?

Wednesday December 19 th 8:15 am

AG=17/3; EA=13; BA=12x; centroid

Always, Sometimes, Never The perpendicular bisectors of the sides of a triangle ___________passes through the midpoint of the sides. The circumcenter_________lies outside the triangle. The perpendicular bisector ________goes through the opposite vertex.

Always; Sometimes; Never

Answer 5, 400

BD and EF

Give an example of a converse error.

If you are a CHS student, then your mascot is a greyhound. The converse: If you have your mascot as a greyhound, then you are a student at CHS. (Original statement is true, converse is false.)

Final Jeopardy

Final Answer

Final Question