Question 1: Find the measure of A. A B C 145° 44°.

Slides:

Advertisements

Similar presentations

Objectives Classify polygons based on their sides and angles.

Advertisements

Interior and Exterior Angles of Polygons

The Polygon Angle-Sum Theorems

Ch 6.1 The Polygon Angle-Sum Theorems Objectives: a) To classify Polygons b) To find the sums of the measures of the interior & exterior  s of Polygons.

8.1 – Find Angle Measures in Polygons

3.4 Polygons (2 cards). Polygons Naming Polygons  Name the Polygon  Name the Vertices  Name the Sides  Name the Angles.

Geometry 6.1 Angles of Polygons

Properties and Attributes of Polygons

Section 6.2 Angles of Polygons.

Chapter 6 Quadrilaterals.

Jeo-poly Figure This!Angle Schmangle SANMash Up

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

1. If the measures of two angles of a triangle are 19º

EXAMPLE 1 Find the sum of angle measures in a polygon Find the sum of the measures of the interior angles of a convex octagon. SOLUTION An octagon has.

7.3 Formulas involving polygons

7.3 Formulas Involving Polygons Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number.

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS. POLYGONS NOT POLYGONS.

Interior/Exterior Angles in Regular Polygons R.4.G.2 Solve problems using properties of polygons: sum of the measures of the interior angles of a polygon.

6-1 The Polygon Angle-Sum Theorems

Discovering Geometry Chapter 5 Test Review HGHS

Find the sum of angle measures in a polygon

ANGLES OF POLYGONS SPI SPI Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals.

POLYGONS POLYGONS Moody Mathematics. What is the term for a 3- sided polygon? Triangle Moody Mathematics.

CP Geometry Mr. Gallo. Shapes for the next page. Draw all the diagonals possible from only one vertex. Use the information in the chart on the next page.

Section 3-5: The Polygon Angle-Sum Theorem. Objectives To classify polygons. To find the sums of the measures of the interior and exterior angles of a.

7.3 Formulas Involving Polygons. Before We Begin.

8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

Angles of Polygons Find the sum of the measures of the interior angles of a polygon Find the sum of the measures of the exterior angles of a This scallop.

Fourth Six Weeks’ Test Review. Find the Geometric mean between 4 and 25. =10.

Geometry. 3 sides 4 sides 5 sides 6 sides 8 sides 9 sides 10 sides 12 sides triangle quadrilateral pentagon hexagon octagon nonagon decagon dodecagon.

Polygons Advanced Geometry Polygons Lesson 1. Polygon a closed figure Examples NO HOLES NO CURVES SIDES CANNOT OVERLAP all sides are segments.

6-1 “Angles of Polygons”. Then/Now You named and classified polygons. Find and use the sum of the measures of the interior angles of a polygon. Find and.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

Informal Geometry 10.2 Diagonals and Angle Measure.

Classify the triangle by the angles and the sides.

Warm Up 1. A ? is a three-sided polygon. 2. A ? is a four-sided polygon. Evaluate each expression for n = (n – 4) (n – 3) 90 Solve for a. 5.

Geometry Section 11.1 Angle Measures in Polygons

Geometry Name: __________________________ Unit 4 WS 2Date: __________________________ Identify the polygon by name, whether it is convex or non convex,

8-1: Angles of Polygons. Diagonal-a line that connects any two vertices that are not next to each other. If diagonals are drawn from one vertex it splits.

12-3: Angles of Polygons Big Ideas Math, Course 2

Interior Angle Sum = ( n – 2 )( 180° ) Find the interior angle sum of each polygon. ( 4 – 2 ) 180°= ( 2 ) 180°= 360° ( 6 – 2 ) 180°= ( 4 ) 180°= 720° 1)

# of sides # of triangles Sum of measures of interior angles 31 1(180)= (180)= (180)= (180)=720 n n-2(n-2) 180.

8.1 Find Angle Measures in Polygons Hubarth Geometry.

Polygons. Polygon Interior Angle Theorem The sum of the measures of the interior angles of a convex polygon is given by: Sum = 180(n – 2) where n represents.

7.1 Interior and Exterior Angles in Polygons. What is the sum or the interior angles in a triangle? 30 ° 60 ° 100 ° 30 ° 50 ° 60 ° 80 ° 60 ° 40 ° 80 °

POLYGONS 10/17/2007 NAMING POLYGONS

1. If the measures of two angles of a triangle are 19º

Determine the name of the polygon

7.3 Formulas involving polygons

8.1 – Find Angle Measures in Polygons

Polygons and angles.

8.1 Angles of Polygons What you’ll learn:

THIS IS Jeopardy. THIS IS Jeopardy With Your Host... Mrs. Walsh.

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Lesson 12.3 Angles and Polygons

Angles of Polygons.

Angle Relationships in Polygons

Classify the triangle by the angles and the sides.

ANGLES OF POLYGONS.

Classify the triangle by the angles and the sides.

Find Angle Measure in Polygons

Math Humor Q: What type of figure is like a lost parrot?

Classify the triangle by the angles and the sides.

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

1. If the measures of two angles of a triangle are 19º

8-1: Find angle measures in polygons

The Polygon Angle-Sum Theorem

Angle Measures of Polygons

ANGLES OF POLYGONS SECTION 8-1 JIM SMITH JCHS.

Module 15: Lesson 1 Interior & Exterior Angles

Presentation transcript:

Question 1: Find the measure of A. A B C 145° 44°

Question 1: SOLUTION The measure of an exterior angle is the sum of the two remote interior angles. A B C 145° 44° 101

Question 2: Find DC if HL = 68. H D S C L

Question 2: SOLUTION By the Midline Theorem, DC is half the length of HL. H D S C L DC = 34

Question 3: Find the sum of the exterior angles in a regular dodecagon.

Question 3 SOLUTION: The sum of the exterior angles in any polygon is always 360°. 360°

Question 4: Find the sum of the angles in a 62-gon.

Question 4 SOLUTION: Find the sum of the angles in a 62-gon °

Question 5: Find the number of diagonals that can be drawn in a regular octagon.

Question 5 SOLUTION: Find the number of diagonals that can be drawn in a regular octagon. 20

Question 6: How many sides does a pentadecagon have?

Question 6 SOLUTION: A pentadecagon has 15 sides. 15

Question 7: Find the number of sides in a regular polygon whose exterior angles each measure 7.5°.

Question 7 SOLUTION: Find the number of sides in a regular polygon whose exterior angles each measure 7.5°. 48

Question 8: Solve x 2 + 5x = 84 by factoring. What is the greater of the two solutions?

Question 8 SOLUTION: Solve x 2 + 5x = 84 by factoring. What is the greater of the two solutions? x 2 + 5x – 84 = 0 (x - 7)(x + 12) = 0 x - 7 = 0 x = 7 x + 12 = 0 x = -12 7

Question 9: The sum of the interior angles of a polygon is 7740°. How many sides does the polygon have?

Question 9 SOLUTION: The sum of the interior angles of a polygon is 7740°. How many sides does the polygon have? 45

Question 10: Find the measure of an interior angle in a regular decagon.

Question 10 SOLUTION: Find the measure of an interior angle in a regular decagon. 144

Question 11: A polygon has 54 diagonals. How many sides does the polygon have?

Question 11 SOLUTION: A polygon has 54 diagonals. How many sides does the polygon have? 12

Question 12: What is the measure of an exterior angle in a regular 72-gon?

Question 12 SOLUTION: What is the measure of an exterior angle in a regular 72-gon? 5

Question 13: The measure of an angle in a regular polygon is 140°. How many sides does the polygon have?

Question 13 SOLUTION: The measure of an angle in a regular polygon is 140°. How many sides does the polygon have? 9

Question 14: Find the measure of the missing angle in the triangle. 36°

Question 14 SOLUTION: Find the measure of the missing angle in the triangle. 36° – 90 – 36 = 54°

Question 15: The ratio of an interior angle to an exterior angle in a regular polygon is 7:1. How many sides does the polygon have?

Question 15 SOLUTION: The ratio of an interior angle to an exterior angle in a regular polygon is 7:1. How many sides does the polygon have? 16 Interior and exterior angles are supplementary. 1x + 7x = 180 8x = 180 x = 22.5 Exterior angle = 22.5°

Question 16: Find the measure of S. H D S C L 67° 82°

Question 16 SOLUTION: Find the measure of S. 31 H D S C L 67° 82° 67° 82° 180 – 82 – 67 = 31°

Question 17: Solve for x. (x + 2)° (2x - 18)° (4x-11)°(2x + 8)° (3x + 7)°

Question 17 SOLUTION: Solve for x. (x + 2)° (2x - 18)° (4x-11)° (2x + 8)° (3x + 7)° 46 (x+2)+(2x-18)+(4x-11)+(2x+8)+(3x+7)=540 12x – 12 = x = 552 x = 46

Question 18: Find the number of diagonals in a 16-gon.

Question 18 SOLUTION: Find the number of diagonals in a 16-gon. 104

Question 19: Solve x 2 – 13x + 42 = 0 by factoring. Then find the smaller of the two solutions.

Question 19 SOLUTION: Solve x 2 – 13x + 42 = 0 by factoring. Then find the smaller of the two solutions. 6 x 2 – 13x + 42 = 0 (x – 7)(x – 6) = 0 x – 7 = 0 x = 7 x – 6 = 0 x = 6

Question 20: Find the measure of an angle in a regular 18-gon.

Question 20 SOLUTION: Find the measure of an angle in a regular 18-gon. 160

Question 21: The vertex angle in an isosceles triangle measures 62°. Find the measure of one base angle.

Question 21 SOLUTION: The vertex angle in an isosceles triangle measures 62°. Find the measure of one base angle ° x°x° x°x° x + x + 62 = 180 2x + 62 = 180 2x = 118 x = 59

Question 22: The measure of an exterior angle of a regular polygon is 15°. Find the number of sides in the polygon.

Question 22 SOLUTION: The measure of an exterior angle of a regular polygon is 15°. Find the number of sides in the polygon. 24

Question 23: How many sides does a polygon have if it has 275 diagonals?

Question 23 SOLUTION: How many sides does a polygon have if it has 275 diagonals? 25

The End!