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HW: 6.4 Practice B (1-12)
Ch. 6 Test FRIDAY 1-17-14
www.westex.org HS, Teacher Website
1-13-14
Warm up—Geometry CPA
Classify the  by its angles if the angles measure
(2x +15)°, (4x)°, and (8x - 3)°.
GOAL:
I will be able to:
1. prove and apply properties of rectangles,
rhombuses and squares.
2. use properties of rectangles, rhombuses and
squares to solve problems.
HW: 6.4 Practice B (1-12)
Ch. 6 Test FRIDAY 1-17-14
www.westex.org
HS, Teacher Website
Name _________________________
Date ________
Geometry CPA
6.4 Properties of Special Parallelograms
GOAL:
I will be able to:
1. prove and apply properties of rectangles, rhombuses and squares.
2. use properties of rectangles, rhombuses and squares to solve problems.
A _______________ is a special parallelogram. What makes it special is that it has
________ __________ __________.
Example 1: Craft Application
A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86
cm. Find HM.
YOU TRY:
Carpentry The rectangular gate has diagonal braces.
a. Find HJ.
b. Find HK.
A _______________ is a special parallelogram. It has _______ ____ ________.
Example 2: Using Properties of Rhombuses to Find Measures
TVWX is a rhombus.
a. Find TV.
b. Find mVTZ.
YOU TRY:
CDFG is a rhombus.
a. Find CD.
b. Find mGCH if mGCD = (b + 3)° and mCDF = (6b – 40)°
A __________is a parallelogram with four right angles and four congruent sides. A square
has all of the properties of a _______________ and a __________. So a square is a
_______________ rectangle and a _______________ rhombus.
Example 3: Verifying Properties of Squares
Show that the diagonals of square EFGH are congruent perpendicular bisectors of each
other.
You Try:
The vertices of square STVW are S(–5, –4), T(0, 2), V(6, –3) , and W(1, –9) . Show
that the diagonals of square STVW are congruent perpendicular bisectors of each other.
y
x
6.4 Practice
A slab of concrete is poured with diagonal spacers. In rectangle CNRT, CN = 35 ft, and
NT = 58 ft. Find each length.
1. TR
2. CE
PQRS is a rhombus. Find each measure.
3. QP
4. mQRP
5. The vertices of square ABCD are A(1, 3), B(3, 2), C(4, 4), and D(2, 5). Show that its
diagonals are congruent perpendicular bisectors of each other.
y
x