Download presentation

Presentation is loading. Please wait.

Published byBernard Turner Modified over 6 years ago

1
Math 1 March 14 th WARM-UP: 1. TW = 24TS = 10 RU = 12 S is the centroidFind the measures of these segments: a) TU b) SV c) TV d) RS e) SU

2
POP QUIZ TOMORROW!!

4
What does the word “polygon” mean? What is the smallest number of sides a polygon can have? What is the largest number of sides a polygon can have?

5
Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Dodecagon n-gon

6
F AB C DE Important Terms A VERTEX is the point of intersection of two sides A segment whose endpoints are two nonconsecutive vertices is called a DIAGONAL. CONSECUTIVE VERTICES are two endpoints of any side. Sides that share a vertex are called CONSECUTIVE SIDES.

7
More Important Terms EQUILATERAL - All sides are congruent EQUIANGULAR - All angles are congruent REGULAR - All sides and angles are congruent

8
Polygons are named by listing its vertices consecutively. AB ED C F

9
Polygons can be CONCAVE or CONVEX CONVEX CONCAVE

10
Ex. 3 Classify each polygon as convex or concave.

12
What is the sum of the measures of the interior angles of a triangle? 180° What is the sum of the measures of the interior angles of any quadrilateral?REVIEW: 180° 360°

13
# of sides # of triangles Sum of measures of interior angles 31 1(180) = 180 42 2(180) = 360 5 33(180) = 540 644(180) = 720 n n-2 (n-2) 180

14
If a convex polygon has n sides, then the sum of the measure of the interior angles is (n – 2)(180°)

15
Ex. 1 Use the regular pentagon to answer the questions. A)Find the sum of the measures of the interior angles. B)Find the measure of ONE interior angle 540° 108°

16
Two more important terms Exterior Angles Interior Angles

17
If any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 2 3 4 5

18
1 3 2

19
1 3 2 4

20
Ex. 2 Find the measure of ONE exterior angle of a regular hexagon. 60°

21
Ex. 3 Find the measure of ONE exterior angle of a regular heptagon. 51.4°

22
Ex. 4 Each exterior angle of a polygon is 18 . How many sides does it have? n = 20

23
Ex. 5 The sum of the measures of five interior angles of a hexagon is 535. What is the measure of the sixth angle? 185°

24
Ex. 6 The measure of the exterior angle of a quadrilateral are x, 3x, 5x, and 3x. Find the measure of each angle. 30°, 90°, 150°, and 90°

25
Ex. 7 If each interior angle of a regular polygon is 150 , then how many sides does the polygon have? n = 12

26
Foldable for Formulas

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google