Week 14 day 4
6
The sums of the angle measures of three polygons are given. Based on the pattern, what will be the sum of the measures of a hexagon in degrees?
Record your answer and be sure to use the correct place value.
180° 360° 540°•
6.5 Trapezoids 6.5 Trapezoids and Kitesand Kites
PardekooperPardekooper
1st, lets look at some theorems
• The base angles of an The base angles of an isosceles trapezoid are isosceles trapezoid are
congruent.congruent.
PardekooperPardekooper
1st, lets look at some theorems
• The diagonals of an The diagonals of an isosceles trapezoid are isosceles trapezoid are
congruent.congruent.A B
CD
AC BD
PardekooperPardekooper
1st, lets look at some theorems
• The diagonals of a kite The diagonals of a kite are perpendicular.are perpendicular.
• One of the diagonals is One of the diagonals is an angle bisectoran angle bisector
• One pair of angles One pair of angles are congruentare congruent
PardekooperPardekooper
OK, here comes a problem.OK, here comes a problem.The following is an isosceles trapezoid. Find The following is an isosceles trapezoid. Find
the measure of the numbered angles.the measure of the numbered angles.
2 3
1650
1 = 651 = 6500
656500++1+1+2+2+3 = 3603 = 36000
656500+ 65+ 6500+x+x = 360+x+x = 36000
13013000+x+x = 360+x+x = 36000
13013000+2x = 360+2x = 36000
-130-1300 0 -130-13000
2x = 2302x = 23000
2 22 2x = 115x = 11500
3 = 1153 = 11500
2 = 1152 = 11500
The sum of the angles of a
quadrilateral is 3600
Remember 2 3
PardekooperPardekooper
How about another problem.How about another problem.Find the measure of the numbered angles in Find the measure of the numbered angles in
the kite.the kite.2 = 902 = 9000
3 = 903 = 9000
454500+ 90+ 9000++1 = 1801 = 18000
13513500+x = 180+x = 18000
-135-1350 0 -135-13500
x = 45x = 4500
1 = 451 = 4500
2 13
450
diagonals of a kite
are perpendicular
Remember The sums of the angles
of a triangle equals 1800
PardekooperPardekooper
Here comes the assignment.Here comes the assignment.PardekooperPardekooper
AssignmentWorkbook
Page 365 all