parallel lines and the triangle angle-sum theorem

Sep 20, 2011

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parallel lines and the triangle angle-sum theorem

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The Polygon Angle-Sum Theorem

The Polygon Angle-Sum Theorem. The Polygon Angle-Sum Theorem. A diagonal is a segment that connects two nonconsecutive vertices in a polygon!. The Polygon Angle-Sum Theorem. Essential Understanding:

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3.3 Parallel Lines and the Triangle Angle-Sum Theorem

3.3 Parallel Lines and the Triangle Angle-Sum Theorem. Chapter 3: Parallel and Perpendicular Lines. 3.3 Parallel Lines and the Triangle Angle-Sum Theorem. Theorem 3-7 Triangle Angle-Sum Theorem The angles in a triangle add up to 180 °. Triangle Angle-Sum Theorem. Find m <1. 1. 35 °.

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Angle Information Parallel Lines

Angle Information Parallel Lines. Chapter 03 Geometry A BowerPoint Presentation. If corr s , then lines . If 1 2 then l m. If alt int s , then lines . If 1 2 then l m. If alt ext s , then lines .

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3.4: The Polygon Angle-Sum Theorem

3.4: The Polygon Angle-Sum Theorem. Objective: Students will be able to… To classify polygons, and to find the sums of interior and exterior angles of polygons. HELLO!!! It’s going to be a good day  . Polygon:. Closed plane figure At least 3 sides that are segments

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The Polygon Angle-Sum Theorem

The Polygon Angle-Sum Theorem. Check Skills You’ll Need. Find the measure of each angle of quadrilateral ABCD. 32. 45. 30. 55. 65. 70. 25. 87. 61. 55. Classifying Polygon.

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3.4: The Polygon Angle-Sum Theorem

3.4: The Polygon Angle-Sum Theorem. Objective: To classify polygons, and to find the sums of interior and exterior angles of polygons. GOOD MORNING!!! It’s going to be a good day  . Polygon:. Closed plane figure At least 3 sides that are segments Sides intersect only at endpoints

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4.1 Triangle Sum Theorem & Exterior Angle Theorem

4.1 Triangle Sum Theorem & Exterior Angle Theorem. A triangle is a polygon with three sides. A triangle with vertices A, B, and C is called “ triangle ABC ” or “ ∆ABC .” Classifying Triangles by Sides A scalene triangle is a triangle with no congruent sides.

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Triangle Angle Sum Theorem Proof

Triangle Angle Sum Theorem Proof. Mr. Erlin Geometry Fall 2010. Mission: Given: ABC, with angles 1, 2 & 3 as shown. Prove: m 1 + m2 + m3 = 180. A. 3. 1. 2. B. C. DON’T TAKE NOTES. Just watch, follow along and try to understand the flow.

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Angle Relations and Parallel Lines

Angle Relations and Parallel Lines. For each slide: 1)Name the type of angle relation between the 2 highlighted angles (Vertical, corresponding, alternate exterior, etc) 2) Answer the question that appears after the answer for #1. If m <3= 85, Then m<7= ?. 3. 4. 2. 1. 85 degrees. 5.

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Polygon Exterior Angle Sum Theorem

Polygon Exterior Angle Sum Theorem. During this lesson, you will solve statement problems involving Polygon Exterior Angle Sum Theorem and its corollary. Vocabulary. If you extend one side of a polygon from one endpoint, then you have constructed an ____________at the vertex. I n t e

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6.1 The Polygon Angle-Sum Theorem

6.1 The Polygon Angle-Sum Theorem. Boyd/Usilton. Theorem 6-1 Polygon Angle-Sum Theorem. The sum of the measures of interior angles of an n-gon is (n-2)180. n= # of sides. What is the sum of the interior angles of a heptagon?. Polygons .

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The Triangle Sum Theorem

The Triangle Sum Theorem. The Triangle Sum Theorem. The sum of the measures of the angles of a triangle are equal to 180 degrees. < 5 = < 3 and < 4= < 1 because alternate interior angles are congruent. Since <1+ < 2+ < 3=180 degrees then the sum of the interior angles is 180. 1. 3. 2. 4. 5.

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Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem. Objectives State the triangle angle sum theorem and solve for an unknown angle in a triangle Classify triangles based on measures of angles as well sides

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Triangle Sum Theorem

Triangle Sum Theorem. Draw a Triangle. Make sure your lines are dark!. Tear off two vertices…. Line up the 3 angles (all vertices touching). What do they make?. A straight line = 180°. Angle sum of a Triangle. 180 ° <1 + <2 + <3 = 180 °. 2. ALWAYS!!!. 1. 3. Consider a Quadrilateral.

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3.5: The Triangle Sum Theorem

3.5: The Triangle Sum Theorem. Expectations: G1.2.1: Prove that the angle sum of a triangle is 180 and that an exterior angle has measure equal to the sum of its remote interior angles. m. m is the only line through P parallel to l. The Parallel Postulate.

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Section 3-3: Parallel Lines and Triangle Angle-Sum Theorem

Section 3-3: Parallel Lines and Triangle Angle-Sum Theorem. Goal 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: a) Triangles. Essential Question. How is the Triangle Exterior Angle Theorem applied?.

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Triangle Sum Theorem

Triangle Sum Theorem. The sum of the interior measures of the angles of a triangle is 180 degrees. Triangle Exterior Angle Theorem. The measures of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles. Polygon.

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Triangle Sum Theorem & Exterior Angle Theorem

Triangle Sum Theorem & Exterior Angle Theorem. 3. 1. 2. 4. 5. 90°. 40°. 40°. 50 °. 130°. 90°. 50 °. Work in groups to answer the questions. Try your best. Name 2 pair of alternate interior angles  5 &  3 and  4 &  1 2. What is the sum of m  1 + m  2 + m  3?

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TRIANGLE-SUM THEOREM

TRIANGLE-SUM THEOREM. During this lesson, you will: Find the sum of the angles of a triangle Use exterior angles of triangles. Classify each triangle based upon its angle measures:. ACUTE. RIGHT. EQUIANGULAR. OBTUSE. INVESTIGATION. INVESTIGATIVE RESULTS:. THEOREM.

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Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem

Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem. 1. 1. 2. 3. 3. 2. Activity #1. 1. 2. 3. 1. 2. 3. 1. Activity #2. 2. 3. 2. 3. D. E. Formal Proof. A. 1. Triangle Angle-Sum Theorem: The sum of the measures of the angles of a triangle is 180 ˚. 4. 5. B. C.

179 views • 16 slides

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parallel lines and the triangle angle-sum theorem

parallel lines and the triangle angle-sum theorem

Presentation Transcript

The Polygon Angle-Sum Theorem

3.3 Parallel Lines and the Triangle Angle-Sum Theorem

Angle Information Parallel Lines

3.4: The Polygon Angle-Sum Theorem

The Polygon Angle-Sum Theorem

3.4: The Polygon Angle-Sum Theorem

4.1 Triangle Sum Theorem &amp; Exterior Angle Theorem

Triangle Angle Sum Theorem Proof

Angle Relations and Parallel Lines

Polygon Exterior Angle Sum Theorem

6.1 The Polygon Angle-Sum Theorem

The Triangle Sum Theorem

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Triangle Sum Theorem

3.5: The Triangle Sum Theorem

Section 3-3: Parallel Lines and Triangle Angle-Sum Theorem

Triangle Sum Theorem

Triangle Sum Theorem &amp; Exterior Angle Theorem

TRIANGLE-SUM THEOREM

Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem

4.1 Triangle Sum Theorem & Exterior Angle Theorem

Triangle Sum Theorem & Exterior Angle Theorem