Regents Geometry

Question 1

Tangents are congruent when (given no outside information)

Answer 1

They are drawn from the same external point.

Question 2

Secant-secant rule

Answer 2

Exsec x sec = exsec2 x sec

Question 3

Tangent-tangent angle

Answer 3

Half the difference of arcs

Question 4

Internal tangents exist when

Answer 4

The area inside two circles share less than epsilon.

Question 5

The segments of two intersecting chords

Answer 5

A x b = c x d

Question 6

Inscribed angle of an arc measures

Answer 6

Half the measure of the intercepted arc.

Question 7

Chord-chord angle

Answer 7

Half the sum of arcs

Question 8

Define circumcenter.

Answer 8

Point of concurrence of the perpendicular bisectors.

Question 9

Inverse of a conditional

Answer 9

A-)b–):a-):b

Question 10

Secant-tangent rule

Answer 10

Exsec x sec : tan!2

Question 11

Define incenter.

Answer 11

Point of concurrence of angle bisectors.

Question 12

H, L combinations

Answer 12

Congruence

Question 13

Tangent-secant angle

Answer 13

Half the difference of arcs.

Question 14

Define centroid.

Answer 14

Point of concurrence of the medians.

Question 15

ASA

Answer 15

Congruence

Question 16

Define orthocenter.

Answer 16

Point of concurrence of altitudes.

Question 17

SAS

Answer 17

Congruence

Question 18

Tangent-chord angle

Answer 18

Half the intercepted arc

Question 19

SSA

Answer 19

Hoax

Question 20

Given circumcenter M, centroid B, and orthocenter G, what is the correct distance and order of the Euler line?

Answer 20

MB-2-G

Question 21

SSS postulate

Answer 21

Congruence

Question 22

Converse of a conditional

Answer 22

A-)b–)b-)a

Question 23

Contrapositive of a conditional

Answer 23

A-)b–):b-):a

Question 24

AAA

Answer 24

Similarity

Question 25

AAS

Answer 25

Congruence

Question 26

Similarity

Answer 26

SAS