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JEFFERSON MATH PROJECT REGENTS BY CHAPTER - JMap

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Math A & B Regents Exam Questions by Prentice Hall Chapter - Geometry Page 28<br />

www.jmap.org<br />

197. Mr. Gonzalez owns a triangular plot of land BCD<br />

with DB = 25 yards and BC = 16 yards. He<br />

wishes to purchase the adjacent plot of land in<br />

the shape of right triangle ABD, as shown in the<br />

accompanying diagram, with AD = 15 yards. If<br />

the purchase is made, what will be the total<br />

number of square yards in the area of his plot of<br />

land, ∆ACD?<br />

200. On the accompanying grid, draw and label<br />

quadrilateral ABCD with points A(1,2), B(6,1),<br />

C(7,6), and D(3,7). On the same set of axes,<br />

plot and label quadrilateral A’B’C’D’, the<br />

reflection of quadrilateral ABCD in the y-axis.<br />

Determine the area, in square units, of<br />

quadrilateral A’B’C’D’.<br />

198. The plan of a parcel of land is represented by<br />

trapezoid ABCD in the accompanying diagram.<br />

If the area of ∆ABE is 600 square feet, find the<br />

minimum number of feet of fence needed to<br />

completely enclose the entire parcel of land,<br />

ABCD.<br />

GEOMETRY <strong>CHAPTER</strong> 5-4<br />

201. A garden in the shape of an equilateral triangle<br />

has sides whose lengths are 10 meters. What is<br />

the area of the garden?<br />

[A] 25<br />

2<br />

m [B] 50<br />

2<br />

m<br />

199. The plot of land illustrated in the accompanying<br />

diagram has a perimeter of 34 yards. Find the<br />

length, in yards, of each side of the figure. Could<br />

these measures actually represent the measures<br />

of the sides of a triangle? Explain your answer.<br />

[C] 25 3<br />

2<br />

m [D] 50 3<br />

2<br />

m<br />

GEOMETRY <strong>CHAPTER</strong> 5-6<br />

202. A picnic table in the shape of a regular octagon is<br />

shown in the accompanying diagram. If the<br />

length of AE is 6 feet, find the length of one side<br />

of the table to the nearest tenth of a foot, and<br />

find the area of the table's surface to the nearest<br />

tenth of a square foot.

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