Transcript Glencoe Geometry - Burlington County Institute of Technology

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10
Over
6.4
WXYZ is a rectangle. If ZX = 6x – 4 and
WY = 4x + 14, find ZX.
A. 9
B. 36
C. 50
D. 54
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10
Over
6.4
WXYZ is a rectangle. If WY = 26 and
WR = 3y + 4, find y.
A. 2
B. 3
C. 4
D. 5
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10
Over
6.4
WXYZ is a rectangle. If mWXY = 6a2 – 6, find a.
A. ± 6
B. ± 4
C. ± 3
D. ± 2
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10
Over
6.4
RSTU is a rectangle. Find mVRS.
A. 38
B. 42
C. 52
D. 54
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10
Over
6.4
RSTU is a rectangle. Find mRVU.
A. 142
B. 104
C. 76
D. 52
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10
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6.4
Given ABCD is a rectangle,
___
what is the length of BC?
A. 3 units
B. 6 units
C. 7 units
D. 10 units
Content Standards
G.GPE.7 Use coordinates to compute
perimeters of polygons and areas of triangles
and rectangles, e.g., using the distance
formula.
Mathematical Practices
1 Make sense of problems and persevere in
solving them.
7 Look for and make use of structure.
You found areas of rectangles and squares.
• Find perimeters and areas of parallelograms.
• Find perimeters and areas of triangles.
• parallelogram:
- base:
any side can be called the base
- height: the perpendicular distance
between the two parallel bases
• triangle:
- base:
any side can be called the base
- height: the length of an altitude drawn
to a given base
Formula:
Area of a Rectangle
b
h
Formula:
Area of a Parallelogram
Formula:
Area of a Triangle
Postulate 11.1: Area Addition Postulate
The area of a region is the sum of the
areas of its nonoverlapping parts.
1
2
Postulate 11.2: Area Congruence Postulate
If two figures are congruent, then they
have the same area.
Perimeter and Area of a Parallelogram
Find the perimeter and area of
Perimeter and Area of a Parallelogram
A. Find the perimeter and area of
Perimeter and Area of a Triangle
SANDBOX You need to buy enough boards to
make the frame of the triangular sandbox shown
and enough sand to fill it. If one board is 3 feet
long and one bag of sand fills 9 square feet of the
sandbox, how many boards and bags do you need
to buy?
Use Area to Find Missing Measures
ALGEBRA The height of a triangle is 7 inches
more than its base. The area of the triangle is
60 square inches. Find the base and height.
Use Area to Find Missing Measures
ALGEBRA The height of a triangle is 12 inches
more than its base. The area of the triangle is
560 square inches. Find the base and the height.