Inscribed and Circumscribed Figures

Slides:

Advertisements

Similar presentations

Geometry in real life title.

Advertisements

Section 1.5 Special Points in Triangles

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Definitions A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle. Radius – the distance.

Bellwork  A 10 foot piece of wire is cut into two pieces. One piece is bent to form a square. The other forms a circle inscribed in the square. How long.

POINTS OF CONCURRENCY In this lesson we will define what a point of concurrency is. Then we will look at 4 points of concurrency in triangles. As you go.

Geometric Figures and Their Properties (5.1.01) Anderson Vertical Team: Shelley, Valerie, Marjorie, Mari, Marsha, Jane, and Teresa.

Warm Up Determine the measures of the indicated angles Now put it all together to solve for the missing angle.

TODAY IN GEOMETRY… Review:

Polygons Only one of these is a polygon. Do you know? A polygon MUST be a closed figure.

8-1A Inscribed and Circumscribed Figures What is a circle? What are the parts of a circle? What does inscribed mean? What does circumscribed mean?

Warm Up Determine the measures of the indicated angles Now put it all together to solve for the missing angle.

Objectives: Discover points of concurrency in triangles. Draw the inscribed and circumscribed circles of triangles. Warm-Up: How many times can you subtract.

Objective: To describe properties 2 D shapes

Inscribed Angles Section 10.5.

Geometry Review. Name that Shape… Rectangle Name that Shape… hexagon.

The word “WOW” has a line of symmetry

Properties of Polygons The students will be able to describe the characteristics of a figure and to identify polygons.

Concurrent Lines Geometry Mrs. King Unit 4, Day 7.

6.4 Use Inscribed Angles and Polygons Quiz: Friday.

Warm – up 2. Inscribed Angles Section 6.4 Standards MM2G3. Students will understand the properties of circles. b. Understand and use properties of central,

Geometry Section 10-4 Use Inscribed Angles and Polygons.

Chapter 10.4 Notes: Use Inscribed Angles and Polygons

Lesson 9.3A R.4.G.6 Solve problems using inscribed and circumscribed figures.

Polygon Basics.

Jeopardy Geometry Circles 1 Triangles 2 Polygons 3 Formulas 4 Angles 5 Pot Luck

POLYGONS. BUILDING POLYGONS We use line segments to build polygons. A polygon is a closed shape with straight sides.

INSCRIBED ANGLES Geometry H2 (Holt 12-4)K. Santos.

Have your homework out and be ready to discuss any questions you had. Wednesday, February 6, 2013 Agenda No TISK or MM HW Questions (9-2 & 9-3) Lesson.

Top second box. MEDIANS! To the left Point of Concurrency Location It will always be located inside the triangle, because you draw a median from the.

Section 11-4 Areas of Regular Polygons. Given any regular polygon, you can circumscribe a circle about it.

L13-4 Notes: Two-Dimensional Figures

Inscribed and Circumscribed Polygons Inscribed n If all of the vertices of a polygon lie on the circle, then the polygon is inscribed.

Inscribed Angles By the end of today, you will know what an inscribed angle is and how to find its measure.

10.3 Inscribed Angles Intercepted arc. Definition of Inscribed Angles An Inscribed angle is an angle with its vertex on the circle.

Section 10-3 Inscribed Angles. Inscribed angles An angle whose vertex is on a circle and whose sides contain chords of the circle. A B D is an inscribed.

Use Inscribed Angles and Polygons Lesson Definitions/Theorem 10.7 BAC = ½(BC) Intercepted Arc Inscribed Angle A B C. Central Angle.

How many …?. What shape can you see? I can see some _____. Q1 Q1 stars.

Warm up 30  80  100  180  100  260 . Wheel of Formulas!!

Geometry Duha syar ANGLES There are different types of angles. Right angles. It’s exactly 90 degrees. You can make a square from it. Acute angle. It's.

Polygons Only one of these is a polygon. Do you know? A polygon MUST be a closed figure.

Sect. 6.1 Polygons Goal 1 Describing Polygons Goal 2 Interior Angles of Quadrilaterals.

: Geometry Jeopardy: Review Game. $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 Geometric Figures Polygons Lines,

Drawing Two Dimensional Shapes

GEOMETRY IN CODYS WORLD SHAPES AND LINES. RECTANGLE HAS FOUR RIGHT ANGLES AND ONE BIG FACE.

POINTS OF CONCURRENCY In this lesson we will define what a point of concurrency is. Then we will look at 4 points of concurrency in triangles. As you go.

Types of Polygons Polygon- a flat closed figure made of straight line segments Circle the figures that are polygons. Cross out the figures  that are.

THE AREA OF A CIRCLE An introduction to approximating the area of a circle.

Lesson 19.2 and 19.3.

Geometry Congruence.

Geometry in real life title.

2-Dimensional Shapes Name: ______________________________

Geometry in real life title.

Geometry Jeopardy: Review Game.

10.7 Inscribed and Circumscribed Polygons

Warm Up Determine the measures of the indicated angles

Warm up 30 80 100 180 100 260.

Warm up 30 80 100 180 100 260.

Lesson 6 CCSS G-C 3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a.

Inscribed Angles and Quadrilaterals

Warm up 30 80 100 180 100 260.

Point of Concurrency Definition: the point at which two or more lines, line segments or ray intersect. Picture:

Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle

_____________: An angle whose vertex is on the circle and whose sides are chords of the circle

10.4 Inscribed Angles.

POINTS OF CONCURRENCY In this lesson we will define what a point of concurrency is. Then we will look at 4 points of concurrency in triangles. As you go.

Geometry Shapes.

Some helpful formulas:

Presentation transcript:

Inscribed and Circumscribed Figures

Goals: Define “Inscribed” Define “Circumscribed” Apply and test our definitions!

Define: Inscribed A circle inscribed in a triangle A picture inscribed in stone A circle inscribed in a triangle A quadrialteral inscribed in a circle

Define: Inscribed The word is derived from the Latin word “scribere” – to write or draw. It means to draw something inside something else. In Geometry, it usually means drawing one shape inside another so that it just touches.

Goals: Define “Inscribed” Define “Circumscribed” Apply and test our definitions!

Define: Circumscribed Circle circumscribed by a triangle A quadrilateral circumscribed by a circle

Define: Circumscribed The opposite of inscribed. When a shape is drawn around the outside of another shape, it is called circumscribed – “drawn around”

Goals: Define “Inscribed” Define “Circumscribed” Apply and test our definitions!

Quadrilateral Inscribed in a Circle or A quadrilateral circumscribed by a circle. All four vertices of the quadrilateral are on the circle

Name the figure below: A circle circumscribed by a pentagon A pentagon inscribed in a circle A pentagon circumscribed by a circle A triangle inscribed in a square

Name the figure below: A circle circumscribed by a pentagon A pentagon inscribed in a circle A pentagon circumscribed by a circle A money inscribed in a box

Just a triangle with two vertices on a circle…Why?

Name the figure using “inscribed in” and “circumscribed by” A _________________ inscribed in _________________ A _________________ circumscribed by _________________

How can we name this using “inscribed in” and “circumscribed by”

How would you describe this?

Goals: Define “Inscribed” Define “Circumscribed” Apply and test our definitions!

Classwork/Homework: Whatever you don’t finish, complete for homework. GO IN THIS ORDER! In red = must be completed in class for participation! Finding related dimensions: #10,11,12, Finding Area: #16,17,18 Combined: Set 1:#1,2,7,9,13,14,15,19,20,21

Tuesday - Classwork/Homework: Whatever you don’t finish, complete for homework. GO IN THIS ORDER! In red = must be completed in class for participation! Solving for area #1-3 Solving for angles #9-10 Combined: #4-5, 11-12

Tongue Twister?