Lesson 6-4 Isosceles Triangles. Ohio Content Standards:

Slides:

Advertisements

Similar presentations

Lesson 5-2 InequalitiesandTriangles. Ohio Content Standards:

Advertisements

Lesson 6-2 Altitudes and Perpendicular Bisectors.

5.1 Midsegment Theorem and Coordinate Proof Objectives: 1.To discover and use the Midsegment Theorem 2.To write a coordinate proof.

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

Lesson 5-1 Classifying Triangles. Ohio Content Standards:

Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.

Lesson 6-5 RightTriangles. Ohio Content Standards:

Honors Geometry Section 4.6 Special Segments in Triangles

Lesson 3-2: Isosceles Triangle

Inscribed Angles Section 10.5.

Unit 4 Vocabulary. Midsegment Segments connecting the midpoints of triangles Creates 4 congruent triangles within the triangle.

6.4 Use Inscribed Angles and Polygons Quiz: Friday.

Warm – up 2. Inscribed Angles Section 6.4 Standards MM2G3. Students will understand the properties of circles. b. Understand and use properties of central,

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Use Isosceles and Equilateral Triangles

Ticket In the Door Write out each of the following: 1.SSS Postulate 2.SAS Postulate 3.ASA Postulate 4.AAS Postulate.

Geometry Unit 5: Triangle Parts.

BELLRINGER Find x by using LP x = x = 113° x = ?

Chapter 5.3 Concurrent Lines, Medians, and Altitudes

CHAPTER 5 Relationships within Triangles By Zachary Chin and Hyunsoo Kim.

LESSON 38 Perpendicular and Angle Bisectors of Triangles.

Medians, altitudes, and perpendicular bisectors May 1, 2008.

Unit 5 Notes Triangle Properties. Definitions Classify Triangles by Sides.

Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.

Median and Altitude of a Triangle Sec 5.3

MEDIANS, ALTITUDES, AND PERPENDICULAR BISECTORS October 13, 2009.

Lesson 12 – Points of Concurrency II

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.

Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.

Geometry B POINTS OF CONCURRENCY. The intersection of the perpendicular bisectors. CIRCUMCENTER.

Points of Concurrency The point where three or more lines intersect.

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Lesson 4-6 Isosceles Triangles. Ohio Content Standards:

4.5 isosceles and Equilateral Triangles -Theorem 4.3: Isosceles Triangle theorem says if 2 sides of a triangle are congruent, then the angles opposite.

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 lines in Triangles and their points of concurrency Perpendicular bisector of a triangle: is perpendicular to and intersects the side of a triangle.

Bellwork 1)If, what is ? 2)If, what is ? 3)If, what is ? What is x?

Use isosceles and equilateral triangles

Isosceles Triangles.

Use Medians and Altitudes

Bisectors, Medians, and Altitudes

5.1 Midsegments of Triangles

Lesson 3-2: Isosceles Triangle

Medians, Altitudes and Perpendicular Bisectors

Triangle Centers Points of Concurrency

4.7 – Use Isosceles and Equilateral Triangles

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

Lesson 4.6 Isosceles Triangles.

Bell work: Turn in when completed

Transformations Transformation is an operation that maps the original geometric figure, the pre-image , onto a new figure called the image. A transformation.

Vocabulary and Examples

Special Segments in Triangles

Bisectors, Medians and Altitudes

Lesson 5-3: Bisectors in Triangles

Centroid Theorem By Mario rodriguez.

Section 6.6 Concurrence of Lines

5.3 Concurrent Lines, Medians, and Altitudes

MID-TERM STUFF HONORS GEOMETRY.

Chapter 5 and Triangle Properties review

Inscribed Angles.

T H E O R M S TRIANGLES CONCEPT MAP Prove Triangles are Congruent

Equilateral TRIANGLES

Lesson 3-2 Isosceles Triangles.

Module 15: Lesson 2 Isosceles & Equilateral Triangles

Lesson 3-2 Isosceles Triangles.

Lesson 6-1 Medians.

Presentation transcript:

Lesson 6-4 Isosceles Triangles

Ohio Content Standards:

Formally define geometric figures.

Ohio Content Standards: Formally define and explain key aspects of geometric figures, including: a. interior and exterior angles of polygons; b. segments related to triangles (median, altitude, midsegment); c. points of concurrency related to triangles (centroid, incenter, orthocenter, and circumcenter); d. circles (radius, diameter, chord, circumference, major arc, minor arc, sector, segment, inscribed angle).

Isosceles Triangle:

A triangle that has a least two congruent sides.

Isosceles Triangle: legs The congruent sides are called legs.

Isosceles Triangle: base The side opposite the vertex angle is called the base.

Isosceles Triangle: Vertex Angle Leg Base Angles

Theorem 6-2 Isosceles Triangle Theorem

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Find the values of the variables. x°x° y°y° 35° 45°

Theorem 6-4 Converse of Isosceles Triangle Theorem

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

D 1 2 E F 3x - 3 2x + 2

Assignment: Pgs. 249 – all all