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 ê 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 mÐVTZ.
YOU TRY:
CDFG is a rhombus.
a. Find CD. b. Find mÐGCH if mÐGCD = (b + 3)° and mÐCDF = (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.
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. mÐQRP
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.