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Constructions NAME: Which illustration sh - Eastchester High School

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Regents Exam Questions by Topic Page 1<br />

TOOLS OF GEOMETRY: <strong>Constructions</strong><br />

www.jmap.org<br />

<strong>NAME</strong>:_____________________________<br />

1. 060925ge, P.I. G.G.17<br />

<strong>Which</strong> <strong>illustration</strong> <strong>sh</strong>ows the correct<br />

construction of an angle bisector?<br />

[A]<br />

3. 060022a, P.I. G.G.17<br />

Using only a ruler and compass, construct the<br />

bisector of angle BAC in the accompanying<br />

diagram.<br />

[B]<br />

[C]<br />

[D]<br />

4. fall0804ge, P.I. G.G.18<br />

The diagram below <strong>sh</strong>ows the construction of<br />

the perpendicular bisector of AB.<br />

2. fall0832ge, P.I. G.G.17<br />

Using a compass and straightedge, construct<br />

the bisector of the angle <strong>sh</strong>own below.<br />

[Leave all construction marks.]<br />

<strong>Which</strong> statement is not true?<br />

1<br />

[A] AC CB [B] CB AB<br />

2<br />

[C] AC<br />

2 AB [D] AC CB AB


Regents Exam Questions by Topic Page 2<br />

TOOLS OF GEOMETRY: <strong>Constructions</strong><br />

www.jmap.org<br />

<strong>NAME</strong>:_____________________________<br />

5. 060734a, P.I. G.G.18<br />

Using a compass and straightedge, construct<br />

the perpendicular bisector of AB <strong>sh</strong>own<br />

below. Show all construction marks.<br />

7. 010420a, P.I. G.G.19<br />

In the accompanying diagram of a<br />

construction, what does PC represent?<br />

[A] an altitude drawn to AB<br />

6. 060435a, P.I. G.G.18<br />

Using only a compass and a straightedge,<br />

construct the perpendicular bisector of AB<br />

and label it c. [Leave all construction marks.]<br />

[B] the perpendicular bisector of AB<br />

[C] the bisector of APB<br />

[D] a median drawn to AB<br />

8. 080835a, P.I. G.G.19<br />

Using a compass and straightedge, construct<br />

the line that is perpendicular to AB and that<br />

passes through point P. Show all construction<br />

marks.


Regents Exam Questions by Topic Page 3<br />

TOOLS OF GEOMETRY: <strong>Constructions</strong><br />

www.jmap.org<br />

<strong>NAME</strong>:_____________________________<br />

9. 060930ge, P.I. G.G.19<br />

Using a compass and straightedge, construct a<br />

line that passes through point P and is<br />

perpendicular to line m. [Leave all<br />

construction marks.]<br />

11. 060325a<br />

On the accompanying diagram of ABC , use<br />

a compass and a straightedge to construct a<br />

median from A to BC .<br />

12. 010225a<br />

Construct a triangle with sides of lengths a, b,<br />

and c, as <strong>sh</strong>own below. Be sure the longest<br />

side of your triangle lies on PQ and that<br />

point P is one of the triangle's vertices. [Show<br />

all arcs necessary for a valid construction.]<br />

10. fall0807ge, P.I. G.G.19<br />

The diagram below illustrates the<br />

construction of PS parallel to RQ through<br />

point P.<br />

<strong>Which</strong> statement justifies this construction?<br />

[A] m<br />

1 m 2 [B] m 1 m 3<br />

[C] PR RQ [D] PS RQ

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