Geometry Test #10

Question 1

Center

Answer 1

A point that’s equidistant from any point on a circle.

Question 2

Radius

Answer 2

A line segment that runs from a circle’s center to a point on the given circle.

Question 3

Diameter

Answer 3

A chord that runs through a circle’s center.

Question 4

Chord

Answer 4

A segment that connects any two points on a given circle.

Question 5

Central Angle

Answer 5

An angle whose vertex is a given circle’s center and whose legs or sides intersect the circle.

Question 6

Inscribed Angle

Answer 6

An angle whose vertex lies on a given circle and whose legs or sides intersect the circle at two other points.

Question 7

Secant

Answer 7

A line, ray, or segment that intersects a given circle at more than one point.

Question 8

Tangent

Answer 8

A line, ray, or segment that intersects a given circle at only one point (even if extended).

Question 9

The angle between… is always right.

Answer 9

The angle between a tangent and a radius to the point of tangency is always right.

Question 10

Segments… are congruent.

Answer 10

Segments tangent to the same circle drawn from the same point are congruent.

Question 11

Radii…

Answer 11

Radii of the same circle are congruent.

Question 12

If two chords are congruent…

Answer 12

If two chords are congruent, their intercepted arcs are congruent.

Question 13

An inscribed angle measures…

Answer 13

An inscribed angle measures half its intercepted arc.

Question 14

An angle formed by a tangent and chord measures…

Answer 14

An angle formed by a tangent and chord measures half the chord’s intercepted arc.

Question 15

What angle measures 90 degrees?

Answer 15

An angle inscribed in a semicircle measures 90 degrees.

Question 16

What angles of a quadrilateral are supplementary?

Answer 16

Opposite angles of quadrilaterals are supplementary.

Question 17

Relationship between a central angle and an inscribed angle?

Answer 17

Measure of a Central Angle is twice the measure of any Inscribed Angle that intercepts the same arc.

Question 18

Intersection of chords

Answer 18

part * part = part * part

Question 19

A tangent to a circle

Answer 19

A tangent to a circle is perpendicular to the radius (or diameter) drawn at the point of tangency.

Question 20

In the same circle or congruent circles, 2 arcs are

Answer 20

In the same circle or congruent circles two arcs are congruent if and only if their central angles are congruent.

Question 21

In the same circle or congruent circles,
a) congruent arcs have…

Answer 21

In the same circle or congruent circles,
a) congruent arcs have congruent chords
b) congruent chords have congruent arcs

Question 22

If the radius (diameter) is perpendicular…

Answer 22

If the radius (diameter) is perpendicular to a chord, than it bisects the chord and its corresponding arcs.

Question 23

In the same circle or congruent circles
a) the chords that are

Answer 23

In the same circle or congruent circles
a) the chords that are equidistant from the center(s) are congruent
b) congruent chords are equidistant from the center(s)

Question 24

Inscribed Angle Thm

Answer 24

The measure of an inscribed angle is equal to 1/2 the measure of its intercepted arc.

Question 25

If two inscribed angles intercept…

Answer 25

If two inscribed angles intercept the same arc, then the angles are congruent.

Question 26

Inscribed in a semicircle

Answer 26

An angle inscribed in a semicircle, is a right angle.

Question 27

Angles in a quadrilateral

Answer 27

Opposite angles of a quadrilateral inscribed in a circle are supplementary.

Question 28

The measure of an angle formed by a chord and a tangent…

Answer 28

The measure of an angle formed by a chord and a tangent is equal to 1/2 the measure of its intercepted arc.

Question 29

Parallel Chords

Answer 29

Parallel chords create congruent arcs between them.

Question 30

m<1=1/2(k+j)

Answer 30

The measure of an angle formed by two chords that intersect inside a circle is equal to 1/2 the sum of the measure of the intercepted arcs.

Question 31

ab=cd

Answer 31

When two chords intersect inside a circle, the product of the segments equals the product of the segments of the other chord.

Question 32

m

Answer 32

The measure of an angle formed by two tangents drawn from a point outside a circle is equal to half the difference of the measure of the intercepted arcs.

Question 33

t=q (congruent tangents)

Answer 33

Tangents from an external point to a circle are congruent.

Question 34

m

Answer 34

The measure of an angle formed by two secants drawn from a point outside a circle is equal to half the difference of the measure of the intercepted arcs.

Question 35

(whole)(outer)=(whole)(outer) secant segments

Answer 35

When two secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment.

Question 36

Circle Equations

Answer 36

(x-h)^2+(y-k)^2=r^2

Question 37

sin(90-x)

Answer 37

cosx

Question 38

cos(90-x)

Answer 38

sinx

Question 39

tan(90-x)

Answer 39

cotx

Question 40

cot(90-x)

Answer 40

tanx

Question 41

sec(90-x)

Answer 41

cscx

Question 42

csc(90-x)

Answer 42

sec