Inscribed Angle Theorem

Jul 31, 2014

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Inscribed Angle Theorem. Page 494. The measure of an inscribed angle is half of the measure of its intercepted arc (And vice versa) Any intercepted arc is twice the measure of its inscribed angle.

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Inscribed Angle Theorem

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Inscribed Angle Theorem Page 494
The measure of an inscribed angle is half of the measure of its intercepted arc • (And vice versa) Any intercepted arc is twice the measure of its inscribed angle

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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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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Angle Bisector theorem

Mathematics 3. Angle Bisector theorem. In a triangle the angle bisector divides the opposite side in the ratio of the remaining sides. This means that for a D ABC ( figure 5.5) the bisector of Ð A divides BC in the ratio . To prove that

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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.

525 views • 11 slides

Inscribed angle and intercepted arc

Inscribed angle and intercepted arc. Objectives. Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems. Vocabulary. inscribed angle intercepted arc subtend.

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7.2 Exterior Angle Theorem

7.2 Exterior Angle Theorem. Vocabulary. Exterior Angle Theorem. What You'll Learn. You will learn to identify exterior angles and remote interior angles of a triangle and use the Exterior Angle Theorem . 1) Interior angle 2) Exterior angle 3) Remote interior angle. P. 1. 3. 4. 2.

1.25k views • 10 slides

4.3 A Right-Angle Theorem

I can apply one way to prove that two angles are right angles. Day 4. 4.3 A Right-Angle Theorem. If two angles were supplementary, what does this mean? If the same two angles were also congruent, what kind of angles do they have to be?. Right angle theorem.

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Side Angle Side Theorem

Side Angle Side Theorem. By Andrew Moser. Summary. If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

557 views • 37 slides

Right Angle Theorem

Right Angle Theorem. Lesson 4.3. Theorem 23: If two angles are both supplementary and congruent, then they are right angles. 2. 1. Given:  1   2 Prove:  1 and  2 are right angles. Paragraph Proof:.

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2.8 Vertical Angle Theorem

2.8 Vertical Angle Theorem. Opposite Rays. Def: Opposite rays are two collinear rays that have a common endpoint and extend in opposite directions. C. A. A. B. B. but not. C. Vertical Angles.

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Find the measure of an inscribed angle.

Objectives. Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems. Substitute 118 for mPU. Example 1A: Finding Measures of Arcs and Inscribed Angles. Find each measure. m  PRU. Inscribed  Thm. m SP.

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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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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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inscribed angle intercepted arc subtend

Vocabulary. inscribed angle intercepted arc subtend.

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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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INSCRIBED ANGLE

Inscribed Angle : An angle whose vertex is on the circle and whose sides are chords of the circle. INTERCEPTED ARC. INSCRIBED ANGLE. What do we call this type of angle?. What is the value of x?. What do we call this type of angle?. How do we solve for y?.

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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?

191 views • 14 slides

inscribed angle intercepted arc subtend

Vocabulary. inscribed angle intercepted arc subtend. Substitute 118 for mPU. Example 1A: Finding Measures of Arcs and Inscribed Angles. Find each measure. m  PRU. Inscribed  Thm. m SP. Example 1B: Finding Measures of Arcs and Inscribed Angles. Find each measure. Inscribed  Thm.

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7-2: Exterior Angle Theorem

7-2: Exterior Angle Theorem. 7-2: Exterior Angle Theorem. Exterior Angle : An angle of a triangle that forms a linear pair with one of the angles of the triangle. Remote Interior Angles : The angles that do not form a linear pair with the exterior angle. Remote Interior Angle.

180 views • 8 slides

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Inscribed Angle Theorem

Inscribed Angle Theorem

Presentation Transcript

The Polygon Angle-Sum Theorem

The Polygon Angle-Sum Theorem

Angle Bisector theorem

4.1 Triangle Sum Theorem &amp; Exterior Angle Theorem

Inscribed angle and intercepted arc

7.2 Exterior Angle Theorem

4.3 A Right-Angle Theorem

Side Angle Side Theorem

Right Angle Theorem

2.8 Vertical Angle Theorem

Find the measure of an inscribed angle.

Triangle Angle Sum Theorem Proof

Polygon Exterior Angle Sum Theorem

6.1 The Polygon Angle-Sum Theorem

inscribed angle intercepted arc subtend

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

INSCRIBED ANGLE

Triangle Sum Theorem &amp; Exterior Angle Theorem

inscribed angle intercepted arc subtend

7-2: Exterior Angle Theorem

4.1 Triangle Sum Theorem & Exterior Angle Theorem

Triangle Sum Theorem & Exterior Angle Theorem