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CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
CCSS Geometry Unit C Day #8: Trapezoids and Kites
Learning Targets:
I can use properties of trapezoids and kites.
I can use coordinates to classify quadrilaterals and compute perimeters.
CCSS: G­GPE.4, G­CO.11CLE: G.1.A, G.2.ADOK: 2, 3
Dirt: A directed segment beginning at A(1, 2) and ending at B (­9, 7) is partitioned in the ratio 1:4. Find the coordinates of the point that partitions this segment.
Write the equation of a line that contains the points (­1, 2) and (­2, 4).
Write the equation of a line that is perpendicular to y = 3/2x +1 containing the point (6, 4)
D.I.R.T?
1. Write the equation of the line perpendicular to ­4x + 2y = 10, through the point (4, 1).
2) Find the midpoint of (3, ­2) and (­3, ­4)
3) Given the points A(2, 3) and B(10, 7), find the coordinates of the point P on directed line segment AB that partitions AB in the ration of 1 to 3.
1
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Match the vocab word with definition
Know the Gab
UNIT C Vocab The non­parallel sides of a trapezoid
The parallel sides of a trapezoid
Exactly one pair of parallel sides
Two legs are congruent
Trapezoid
Bases of a Trapezoid
Two right angles with the same leg as a side
Angles that share the same base for a side.
Two sets of consecutive sides are congruent BUT opposite sides are not congruent
Legs of a Trapezoid
Base Angles of a Trapezoid: (it has two sets of base angles)
Isosceles Trapezoid
Right Trapezoid
Kite
Properties of a trapezoid.
Properties of an ISOSCELES Trapezoid
2
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Find the measure of each angle.
Find the value of n.
10n +19
12n ­ 4
3
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Properties of a KITE
4
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Find the measures of the missing angles.
5
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Find the value of y.
13y
125
9y
Find the value of x and y.
11x +2
4y
8y ­ 4
134
Show that CDEF is a trapezoid. Find the perimeter. Round to the nearest hundredths.
C (­7, 4) D(­4, 4) E(0, 0) F(0, ­3)
6
CCSS Geom Unit C Day 8AA.notebook
October 07, 2014
Show that GEOM is a kite . Find the perimeter. Round to the nearest hundredths.
G(­4, 4) E(0, 6) O(2, 4) M(0, 2)
7