Preparing for the Regents Examination Geometry, AK

7. 1 EDF 2 EDF
8. GDF EDH
9. FGD EDH (ASA ASA)
10. 5 6 (Corresponding
parts of congruent
triangles are
congruent.)
10 1. ___
AC and ___
BD bisect each other at G.
2. ___
CG ____
AG
3. ___
BG ___
DG
4. AGB CGD (Vertical angles are
congruent.)
5. AGB CGD
6.
(ASA ASA)
___
AB ___
CD
7. GCD GAB
8. 1 2
(Corresponding
parts of congruent
triangles are
congruent.)
9. CED AFB
10.
(ASA ASA)
___
EC ___
FA (Corresponding
parts of congruent
triangles are
congruent.)
11 Assume that ABC and ABC are congruent
and that ___
BD and _____
BD are angle bisectors
of B and B, respectively.
ABD ABD. ___
AB ____
AB . A A.
ABD ABC. ___
BD _____
BD .
12 1. BIG is equilateral.
2. ___
IA ___
BC ___
GT
3. IA BC GT
4. __
IB ___
BG ___
GI
5. IB BG GI
6. IB IA AB; BG BC CG;
GI GT TI
7. IA AB BC CG GT TI
8. IA AB IA BC CG BC
GT TI GT
9. AB CG TI
10. ___
AB ___
CG __
TI
11. BIG IGB GBI
12. IAT BCA (ASA ASA)
GTC
13. ___
AT ___
CA ___
TC (Corresponding
parts of congruent
triangles are
congruent.)
14. CAT is (Definition of an
equilateral. equilateral triangle)
13 1. ___
RU
2. ___
RT ___
US
3. RT US
4. RT ST US ST
5. RS TU
6. ___
RS ___
TU
7. R U
8. VST WTS
9. mVST mWTS
10. VSR is the complement of VST.
11. WTU is the complement of WTS.
12. VSR WTU
13. RVS UWT (ASA ASA)
14 1. ____
MQ ____
NQ
2. ___
QP ____
QO
3. ___
PQ ____
MQ
4. MQP is a right angle.
5. ____
OQ ____
NQ
6. NQO is a right angle.
7. MQP NQO (Right angles are
congruent.)
8. PQO PQO
9. MQP PQO NQO PQO
10. MQO NQP
11. MQO NQP (SAS SAS)
15 1. ___
AC ___
BC
2. ACF BCG
3. DCF ECG
4. DCF ACF BCG ACF
5. DCF ACF BCG ECG
6. ACD BCE
7. CAF CBA
8. CAD CBE (ASA ASA)
9. ___
DC ___
EC
10. DCE is isosceles. ( Definition of an
isosceles triangle)
16 Draw a line longer than the sum of the
lengths of the two segments. Copy ___
AB onto
the new line. Place the compass vertex where
the arc swing intersects the line and mark off
the length of ___
CD . The line segment from the
original vertex to the final arc swing marks
off the new segment.
17 Bisect ___
AB and then bisect each half of the
original segment.
18 Use angle bisector procedure.
19 Bisect side ___
AB . Mark the point where the
bisector intersects the line M. Draw a line
from C to M.
Chapter Review 27