10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides.

Slides:



Advertisements
Similar presentations
8-4 Angles of Elevation and Depression
Advertisements

12-5 Circles in the Coordinate Plane
Surface Areas of Prisms and Cylinders To find the surface area of a prism and a cylinder. Students will define, explicitly use, and solve for the terms.
SIMILAR AND CONGRUENT. CONGRUENT FIGURES In order to be congruent, two figures must be the same size and same shape. ~ =
Area of Regular Polygons. We will determine the area of regular polygons using notes.
10-5 Trigonometry and Area
10-5 Volumes of Prisms and Cylinders To find the volume of a prism and the volume of a cylinder. In solving for volume of prisms and cylinders, students.
11.2 Area of Regular Polygon
4-7 U SING C ORRESPONDING P ARTS OF C ONGRUENT T RIANGLES To identify congruent overlapping triangles To prove two triangles congruent by first proving.
Students will explicitly define, use, and calculate exterior and interior angles of triangles.
Section 7 –5 Areas of Regular Polygons
11-1 Space Figures and Cross Sections
7-4 Similarity in Right Triangles Students will use the special case of drawing an altitude in right triangles to find similar triangles. They will also.
8-1 The Pythagorean Theorem and Its Converse
11-2 Areas of Regular Polygons Warm Up Lesson Presentation Lesson Quiz
 The following questions are to help you see how well you understood today’s lesson.  Please follow up with me if you don’t.
12-2 Chords and Arcs To use congruent chords, arcs, and central angles. To use perpendicular bisectors to chords. With a knowledge of proving triangles.
Chapter 11: Measuring Length and Area Area of Regular Polygons.
11-6 Surface Areas and Volumes of Spheres To find the surface area and volume of a sphere. Students will be able to make an approximation of a sphere.
Bellwork Add the special formula for the equilateral triangle below to your toolbox. Find the area of an equilateral triangle with a side of.
5.9 Similar Figures.
Objective: To identify properties of medians and altitudes of a triangle 5-4 Medians and Altitudes Using medians and altitudes of a triangle, students.
To compare and find the areas and volumes of similar solids. Students will analyze the relationship between the scale factor, surface area, and volume.
5-3 Bisectors in Triangles To identify properties of perpendicular bisectors and angle bisectors. Using perpendicular and angle bisectors, students will.
SIMILAR AND CONGRUENT POLYGONS LESSON 35POWER UP GPAGE 229.
Review The answers are on the last slide to check when you’re done.
The sum of the measures of the interior angles of a convex n-gon (n-2)∙ Corollary to Theorem 11.1 The measure of each interior angle of a regular.
6-5 Conditions for Rhombuses, Rectangles, and Squares
9.5 – Trigonometry and Area
9-1 Translations To identify isometries To find translation images of figures.
10.4 Interior Angles of a Polygon.  Objectives  Write a formula for the sum of the interior angles of any polygon  Calculate the sum of the interior.
11-5 Volumes of Pyramids and Cones To find the volume of a pyramid and of a cone With a knowledge of Cavalier’s Principle with respect to prisms and cylinders,
11-3 Surface Areas of Pyramids and Cones
Objectives Develop and apply the formula for the area of a regular polygon.
Warm Up Find the volume of each figure. Round to the nearest tenth, if necessary. 1. a square prism with base area 189 ft2 and height 21 ft 2. a regular.
7-5 Areas of Regular Polygons
7-5 Proportions in Triangles
7-1 Areas of Parallelograms and Triangles
10-2 Areas of Trapezoids, Rhombuses, and Kites
To verify and use properties of trapezoids and kites
To find reflection images of figures
10-8 Geometric Probability
Objectives Learn and apply the formula for the volume of a pyramid.
9-2: Perimeter and Area of Regular Polygons
To identify and apply similar polygons
5-4 Medians and Altitudes
Volume of Pyramids and Cones
6-2 Properties of Parallelograms
4-1 Quiz The following questions are designed to help you decide how well you understand today’s lesson. Please ask me if you.
Pg. 450.
The center of a regular polygon is equidistant from the vertices
3-3 Proving Lines Parallel
5-1 Midsegments of Triangles
4-4 Using Corresponding Parts of Congruent Triangles
LT 9.2 apply formulas for circles and regular polygons
Geometry Mini-Lesson The perimeter of square ABCD is 40 cm. What is the length of apothem EF? 2.5 cm 5 cm 10 cm 20 cm MA.912.G.2.5: Explain the derivation.
To use properties of a tangent to a circle.
7-5 Areas of Regular Polygons
5-3 Bisectors in Triangles
12-4 Angle Measures and Segment Lengths
3-3 parallel Lines and the triangle sum theorem
6-4 Special Parallelograms
10-4 Perimeters and Areas of similar Figures
7-7 Areas of Circles and Sectors To find the areas of circles, sectors, and segments of circles With the formula for the area of a circle, students.
Students will consistently and appropriately use the parallel symbol in descriptions of lines and planes. 3-1 LINES AND ANGLES To identify relationships.
8-2 Special Right Triangles
2-6 Proving Angles Congruent
Polygons Objective: Learn to classify polygons.
Standards:.
4-5 Isosceles and Equilateral Triangles
Presentation transcript:

10-3 Areas of Regular Polygons To find the area of a regular polygon In finding the area of a regular polygon, students will find a polygon of n sides to be composed of n congruent triangles and find the areas of those triangles. As a result, they will determine a formula for the area of a regular polygon.

10-3 Quiz The following questions are to help you decide how well you understood today’s lesson. Please make sure you ask questions when you miss one so you don’t make the same mistakes on your homework! Remember to record the number you get right on your portfolio sheet!

1. Given the regular polygon, find the measure of each numbered angle. Non-Response Grid

2. Find the area of a regular hexagon with an apothem 16.5 feet long and a side 19 feet long. Round your answer to the nearest tenth. A ft 2 B ft 2 C ft 2 D ft 2 Non-Response Grid

3. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth. A.55.4 m 2 B m 2 C.83.1 m 2 D.288 m 2 Non-Response Grid

4. Find the area of an equilateral triangle with side 12. Non-Response Grid

5. Find the area of the regular polygon. Round your answer to the nearest tenth. A in. 2 B in. 2 C.80.0 in. 2 D in. 2 Non-Response Grid

ASSIGNMENT 10-3 p #8-34 even Be sure to RATE your understanding of the lesson after you finish it AND give me one complete sentence as to why you rated yourself that way then summarize what the lesson was about in a sentence or two.