Lesson 3-3 The Angle Addition Postulate. Ohio Content Standards:

Slides:

Advertisements

Similar presentations

CONGRUENT ANGLES & BISECTOR OF AN ANGLE. Definition of Congruent Angles Two angles are said to be congruent if and only if they have the same measure.

Advertisements

3.8 The HL Postulate Objective:

Parallel Lines and Proportional Parts

Lesson 1-2 Linear Measure and Precision. Ohio Content Standards:

1 Objectives Define congruent polygons Prove that two triangles are congruent using SSS, SAS, ASA, and AAS shortcuts.

Lesson 3-6 Congruent Angles. Ohio Content Standards:

Lesson 5-2 InequalitiesandTriangles. Ohio Content Standards:

Lesson 6-2 Altitudes and Perpendicular Bisectors.

Lesson 5-1 Bisectors, Medians, and Altitudes. Ohio Content Standards:

Lesson 3-1 Parallel Lines and Transversals. Ohio Content Standards:

Lesson 1-4 Angle Measure. Ohio Content Standards:

1.5 Exploring Angle Pairs 9/20/10

1-1a Slide 1 of 2 (over Lesson 3-2). 1-1b Slide 1 of 2 (over Lesson 3-2)

Lesson 4-2 Angles of Triangles. Ohio Content Standards:

Mrs. McConaughyGeometry1 Segment and Angle Bisectors During today’s lesson, you will:  bisect a segment  bisect an angle  solve problems involving segment.

Sec 3.3 Angle Addition Postulate & Angle Bisector

Lesson 6-5 Parts of Similar Triangles. Ohio Content Standards:

1.5 Segment & Angle Bisectors Geometry Mrs. Blanco.

Lesson 6-5 RightTriangles. Ohio Content Standards:

Lesson 6-4 Isosceles Triangles. Ohio Content Standards:

Lesson 1-2 Linear Measure and Precision. Ohio Content Standards:

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.

The Angle Addition Postulate Angle Addition Postulate

Holt Geometry 1-2&3 Measuring and Constructing Segments and Angles Warm Up Solve

Unit 33 Congruence and Similarity Presentation 1Tests for Congruence Presentation 2Congruent Triangles Presentation 3Similar Shapes Presentation 4Similar.

Section 1.4 Angles & Their Measures 1/13. Parts of the Angle Possible Names 1 Angle Symbol 2/13.

Lesson 6.4 Prove Triangles Similar by AA. Objective Use the AA similarity postulate.

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.

1st Geometry Journal By Daniel Escobar. What are points, lines, and segments? Point: A dot in space that indicates something or a location.Pic:. Line:

Lesson 3-2 Angles and Parallel Lines. Ohio Content Standards:

Geometry 1.4 SWLT Measure and Classify Angles. Classifying Angles Acute Angles: 0  < m  A < 90  Right Angles m  A = 90  A A.

1.1e – Constructing Segments & Lines G-CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,

Lesson 3-5 Proving Lines Parallel. Ohio Content Standards:

Warm Up Check homework answers with each other!. Answers 4.1 c worksheet.

9/14/15 CC Geometry UNIT: Tools of Geometry

Use Axioms, Proposition 1, Mauney’s Postulate, and Congruence Theorems SAS and SSS to bisect a given line segment. Also, construct a line perpendicular.

Lesson 2.3 Drawing Conclusions Objective: After studying this section, you will be able to follow a five-step procedure to draw logical conclusions.

BELL RINGER What is the measure of ABC?. Chapter 3: Parallel and Perpendicular Lines Lesson 3.3: Proving Lines are Parallel.

DO NOW Constructing a Segment Bisector Draw ST on your transparency paper. Fold the paper so point S is lying on point T. In the crease draw a dotted line.

WARM UP Solve for x. What theorem did you use to do question 1?

Warm Up Check homework answers with each other!. Ch : Congruence and Triangles Students will prove triangles congruent using SSS, SAS, ASA, AAS,

Lesson 4 – 1 Classifying Triangles

1.3 & 1.5 REVIEW. QUESTION 1 Find the distance between (0,1) and (-2,9)

The Fundamental Theorem of Similarity. The FTS I 5 II Find the scale factor (ratio of similitude):

Ratios in similar polygons

Construct TW congruent to KM.

4.4 The Equidistance Theorems

7.2; 9-29 Odd 9. See board x=30, y= x=8, y=20

definition of a midpoint

3.4 Parallel Lines and Transversals

Similarity in Triangles

Explore Similar Solids

Use a protractor to draw angles with the following measurements:

Lines, Angles and Triangles

Congruence “Same size, same shape”

تكملة الوحدة الاولى الفصل الثاني بالكتاب للاطلاع ثم الفصل الثالث التخطيط لبناء الاختبارات التحصيلية الفصل الثالث من الكتاب (87-164)

Lessons 4.1 & 5.5: Introduction to Triangles

Complementary and Supplementary Angles

Module 15: Lesson 5 Angle Bisectors of Triangles

Objectives Apply ASA, AAS, and HL to solve problems.

Special Pairs of Angles

Lesson 12.1 Transformations pp

The answers to the power point questions from

Lesson 11.1 Meaning of Volume pp

Lesson 1-4 Angles.

Lesson 7-3 Similar Triangles.

Lesson 10.2 Separation in Space pp

Lesson 6-1 Medians.

Constructions Lab.

Presentation transcript:

Lesson 3-3 The Angle Addition Postulate

Ohio Content Standards:

Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision.

Ohio Content Standards: Formally define geometric figures.

Ohio Content Standards: Formally define and explain key aspects of geometric figures.

Postulate 3-3 Angle Addition Postulate (A-A Postulate)

For any angle PQR, if A is in the interior of PQR, then m PQA + m AQR = m PQR.

If m KNL = 110 and m LNM = 25, find m KNM. K M L N 25° 110°

Find m 2 if m 1 = 75 and m ABC = 140. A C D B 2 1

Find m JKL and m LKM if m JKM = 140. J M L K 4x°4x° (2x – 10)°

Angle Bisector

Separates the angle into two angles of equal measure.

If FD bisects CFE and m CFE = 70, find m 1 and m 2. C E D F 2 1

Homework Homework Pgs evens, all