Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
Preparing for the Regents Examination Geometry, AK
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1-4 Angles<br />
(pages 9–10)<br />
1 (4) It is a portion of a line, beginning with<br />
point M.<br />
2 (1) DAE<br />
3 (4) XYZ is a 180 angle.<br />
4 (3) equal to 90<br />
5 (2) three acute angles<br />
6 Acute angles: JKM, MKN, NKO, OKL,<br />
MKO<br />
Obtuse angles: JKO, MKL<br />
Right angles: JKN, NKL<br />
Straight angle: JKL<br />
7 mLKO 35; mMKN 30; mMKO 85<br />
8<br />
D<br />
9<br />
10<br />
11<br />
E F<br />
R<br />
V<br />
H<br />
B<br />
12 a and b<br />
E<br />
A<br />
G<br />
B C<br />
I<br />
2 Chapter 1: Essentials of <strong>Geometry</strong><br />
I<br />
T<br />
1-5 Preliminary Angle and<br />
Line Relationships<br />
(pages 11–12)<br />
1 a mDBC 90<br />
b DBC ABD<br />
2 a mONP 45<br />
b ONP MNO<br />
3 mCBD<br />
4 mCBD<br />
5 mABD mABC mCBD<br />
90 45<br />
135<br />
6 l n<br />
7 x 8<br />
8 y 9.5<br />
9 mCAT 28<br />
10 mAFC 46<br />
1-6 Triangles<br />
(page 16)<br />
1 False<br />
2 True<br />
3 False<br />
4 False<br />
5 True<br />
6 The length of each leg of <strong>the</strong> isosceles<br />
triangle is 18.<br />
7 a The length of each side of <strong>the</strong> triangle<br />
is 16.<br />
b y 7<br />
8 mA 40; mB 70; mC 70<br />
9 Check students’ drawings of isosceles<br />
triangle ABC with vertex at C.<br />
10 Check students’ drawings of right triangle<br />
PQR with hypotenuse ___<br />
PQ .<br />
11 Check students’ drawings of acute triangle<br />
FGH that is scalene.<br />
12 −−−<br />
CD and −−<br />
CE<br />
Chapter Review (pages 16–17)<br />
1 Point<br />
2 Line, length<br />
3 Plane, length and width<br />
4 9<br />
5 Only <strong>the</strong> square roots of perfect square numbers<br />
are rational.
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