The shape of a triangle is determined up to congruence by specifying two sides and the angle between them SAStwo angles and the side between them ASA or two angles and a corresponding adjacent side AAS.
Students will be able to identify whether a given shape is a polygon using the properties of polygons. Students will be able to identify and name polygons that are triangles, quadrilaterals, pentagons, hexagons, and octagons.
Students will be able to draw a triangle, quadrilateral, pentagon, hexagon, and octagon. Document Camera with two columns of shapes polygons and shapes that are not polygons Index cards or small pieces of white paper 4 per student.
Index cards or paper slips with irregular polygons drawn on them 1 per student.
Using the document camera and LCD projector, I will explain that the two columns of shapes are different from each other in at least one way. Ask students to break up into pairs and discuss what the differences and similarities between the two columns are.
After a couple of minutes, ask students to volunteer what differences and similarities they discovered. Column B has shapes that have curves and are not closed; all the shapes in column A use only straight lines and are closed.
Then ask students what was the same about the figures They are all flat or two-dimensional. Introduce the terms plane figure and polygon and have students copy definitions for these terms in their math dictionary. Briefly introduce the concept of an angle as what is formed when two straight lines meet.
Ask students if they know the names for some types of polygons. As students suggest shapes, put their names up on the board. Have the students draw a polygon on each of these cards. Stress that students may only draw one of the specific types of polygons we have discussed earlier.
When the students are done, collect the cards from the students and redistribute them to the students, so that each student has cards that other students drew.
In this mix, also add the pictures of more irregular polygons that the teacher has drawn. Each student should get five cards in all. Have students work with the students in their cluster of desks to label each card with the correct polygon name.
Then students should place the shapes, by category, on the appropriate poster-board laid out in the classroom these will be glued down by the teacher later in the day.Take a break. Let's see what else you know. Back to practice. Geometry K.5 SSS, SAS, ASA, and AAS Theorems.
Write a, b and c in Carefully cut out Tear off the the interiors of the the triangle. three angles.
|Congruent Triangles PowerPoint Presentation, PPT - DocSlides||GO Inequalities and Relationships Within a Triangle A lot of information can be derived from even the simplest characteristics of triangles. In this section, we will learn about the inequalities and relationships within a triangle that reveal information about triangle sides and angles.|
three angles of the triangle. CONJECTURE: Sum of the angles of any triangle is _____ Exterior Angle Activity Draw a large triangle on your paper. (Use half the sheet of . Congruent Triangles.
Objective Corresponding angles and corresponding sides are in the same position in polygons with an equal number of sides. Two polygons are congruent polygons if and only if Example 1 Give all possible names for the figure.
Example 2 Write the Triangle Congruence Statement. Write the Congruence statement . Two polygons are similar polygons if and only if their corresponding angles are congruent and their corresponding side lengths are proportional.
Example 1: Describing Similar Polygons Identify the pairs of congruent angles and corresponding sides. If so, write the similarity ratio and a similarity statement. Draw and describe similarity transformations in the coordinate plane. Use properties of similarity transformations to determine whether polygons are similar and to prove circles similar.
Unit 6 Introduction to Polygons + If they are, write a similarity statement and give the similarity ratio 1. All three pairs of angles are congruent. 2. Check for proportionality of corresponding angles: 1.
AC/FD = 18/24 = 3/4 2. Powerpoint-Polygons Around the World. Slide 1. spatial sense nkf