This preview shows pages 1–11. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Quadrilaterals Quadrilaterals 8.1 Quadrilaterals 8.1 Quadrilaterals 8.4 Rectangles, Rhombi, and Squares 8.4 Rectangles, Rhombi, and Squares 8.3 Tests for Parallelograms 8.3 Tests for Parallelograms 8.2 Parallelograms 8.2 Parallelograms 8.5 Trapezoids 8.5 Trapezoids Quadrilaterals Quadrilaterals Yo u will le a rn to ide ntify pa rts o f q ua drila te ra ls a nd find the s um o f the m e a s ure s o f the inte rio r a ng le s o f a q ua drila te ra l. 1) Q ua drila te ra l 2) C o ns e c utive 3) No nc o ns e c uti ve 4) Dia g o na l Quadrilaterals Quadrilaterals A quadrilateral is a closed geometric figure with ____ sides and ____ vertices. four four The segments of a quadrilateral intersect only at their endpoints. Quadrilaterals Not Quadrilaterals Special types of quadrilaterals include s q ua re s and re c ta ng le s . Quadrilaterals Quadrilaterals A B C D Quadrilaterals are named by listing their vertices in order. There are several names for the quadrilateral below. Some examples: quadrilateral ABCD quadrilateral BCDA quadrilateral CDAB or quadrilateral DABC S R Q P Quadrilaterals Quadrilaterals Any two _______ of a quadrilateral are either __________ or _____________. consecutive nonconsecutive sides vertices angles Quadrilaterals Quadrilaterals S R Q P Segments that join nonconsecutive vertices of a quadrilateral are called ________. dia g o n a ls S and Q are nonconsecutive vertices. diagonal a is SQ R and P are nonconsecutive vertices. diagonal a is RP Quadrilaterals Quadrilaterals Q T S R Name all pairs of consecutive sides: Name all pairs of nonconsecutive angles: Name the diagonals: RS and QR ST and RS TQ and ST QR and TQ S and Q R and T and QS TR Quadrilaterals Quadrilaterals D C B A Considering the quadrilateral to the right. What shapes are formed if a diagonal is drawn? ___________ two tria ng le s 1 2 3 4 5 6 Use the Angle Sum Theorem (Section 52) to find m 1 + m 2 + m 3 180 Use the Angle Sum Theorem (Section 52) to find m 4 + m 5 + m 6 180 Find m 1 + m 2 + m 3 + m 4 + m 5 + m 6 180 + 180 360 This leads to the following theorem. Quadrilaterals Quadrilaterals Theorem 81 The sum of the measures of the angles of a quadrilateral is ____. 360 a d c b a + b + c + d = 360 Quadrilaterals Quadrilaterals A D C B m A + m B + m C + m D = 360 x + 2x + x 10 + 50 = 360 Find the measure of B in quadrilateral ABCD if A = x, B = 2x, C = x 10, and D = 50....
View
Full
Document
This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.
 Spring '11
 Jackson

Click to edit the document details