Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School 2014-2015.

Slides:

Advertisements

Similar presentations

Warm Up Determine the measure of the missing interior angle. What type of triangle is it? Unit 8 - Lesson 2 Exterior Angles of a Triangle.

Advertisements

I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.

5.2 Congruent Polygons.

TRIANGLE SUM PROPERTIES 4.1. TO CLARIFY******* A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called triangle ABC.

3.5 Parallel Lines and Triangles

4.2: Measuring Angles in Triangles

Chapter 12 and Chapter 3 Geometry Terms.

EXTERIOR ANGLES OF A POLYGON Polygons. An exterior angle of a regular polygon is formed by extending one side of the polygon. Angle CDY is an exterior.

An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem.

4.1 Triangles and Angles.

Polygons – Sum of the Angles The sum of the interior angles of a convex polygon depends on the number of sides of the polygon. The formula is developed.

Polygons & Quadrilaterals

Applying Triangle Sum Properties

4-2 Angles of Triangles Objectives: The student will be able to: 1. Apply the Triangle-Sum Theorem. 2. Apply the Exterior Angle Theorem.

HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE

PARALLEL LINES and TRANSVERSALS.

Chapter 4.1 Notes: Apply Triangle Sum Properties Goal: You will classify triangles and find measures of their angles.

5-6 Inequalities in One Triangle

 3.2: Angles of Triangles. What are Interior and Exterior Angles  Interior Angles are angles inside a polygon.  When the sides of a polygon are extended,

Classify the triangle by its sides. The diagram is not to scale.

Angles of Triangles Chapter 4, Section 2. Angle Sum Theorem The sum of angles in a triangle is 180 o

Chapter 4.1 Notes: Apply Triangle Sum Properties

3.4 parallel Lines and the Triangle Angle-Sum Theorem

Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.

Geometry Vocabulary Introduction to Classifying Angles.

Types of Angles.

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Warm-Up x + 2 3x - 6 What is the value of x?. Geometry 3-3 Proving Lines Parallel.

3-1 and 3-2: Parallel Lines and Transversals

Polygons and Triangles Chapter 10 Lesson 4 and 5

CH. 5-1: POLYGON ANGLES Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

1.2 Angle Relationships and similar triangles

Chapter 4.2 Notes: Apply Congruence and Triangles

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.

8-3 Angle Relationships Objective: Students identify parallel and perpendicular lines and the angles formed by a transversal.

Chapter 3 Lesson 3 Objective: To use exterior angles of triangles.

3.4.  The sum of the measures of the angles of a triangle is 180.

GEOMETRY 10.5 Exterior and Interior Angle Measurement Interactions.

Triangles and Their Angles Geometry – Section 4.1.

Q4W2: Angles and Transversals. Objectives I understand why an exterior angle of a triangle is equal to the sum of the opposite interior angles. I understand.

Solve for x and y: 43° 75° y° x° 75° = y + 43° 75 – 43 = y 32° = y z° x and 43° are Alternate Interior Angles 43° = x.

Geometry Section 4.1 Apply Triangle Sum Properties.

 Scalene Triangle No sides congruent  Isosceles Triangle Exactly 2 sides congruent  Equilateral Triangle All sides congruent.

4.1: Apply Triangle Sum Properties

Isosceles Triangles.

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Section 3-5 Parallel lines and Triangles.

Angles of Triangles.

Geometry 4.1 Triangle and Angles.

Exterior Angles of Triangles

3-3 & 3-4 Parallel Lines & the Triangle Angle-Sum Theorem

Classifying Triangles

Name That Angle Geometry Review.

Properties of Triangles

Types of Triangles and Their Properties

Angles and Lines Final Review Part 1.

Warm-up Find x a) b).

Chapter 4.2 Notes: Apply Congruence and Triangles

Exterior Angles of Triangles

V L T The sum of the interior angles of a triangle is 180 degrees.

Parallel Lines, Transversals, Base Angles & Exterior Angles

Base Angles & Exterior Angles

Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Exterior Angle Theorem

Lesson 3: Introduction to Triangles

4.1 – Apply triangle sum properties

Section 3-5 Parallel lines and Triangles.

Presentation transcript:

Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

 A triangle is a polygon with three sides.  A triangle with vertices (corners) A, B, and C is called “triangle ABC” or “ △ ABC.”

 A triangle’s interior angles are the three angles contained within the boundaries of the triangle.  The exterior angles of a triangle are the angles formed when the sides of the triangle are extended. They always lie outside the triangle.

 The sum of the measures of the interior angles of a triangle is 180°.

 The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.

 Congruent Figures – If two geometric figures are congruent, then all the parts of one figure are congruent to the corresponding parts of the other figure.  In the diagram, ∠ P and ∠ L are corresponding angles, and JK and QR are corresponding sides.

 If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.  In the diagram, the unlabeled angles must be congruent. What is the measure of both unlabeled angles?  73°