Abeka Plane Geometry Test 12

A

two points\____ determine one and only one straight line

s

if the endpoints of a line segment are on a circle the segment is \___ diameter

n

a quadrilateral \____ has only one diagonal

A

if two lines are parallel to the same line, then they are\____ parallel

A

if two lines are cut by a transversal so that the alternate interior angle sare equal the corresponding angels are \___ euqal

s

the bisectors of a pair of corresponding angles of two lines cut by a transversal are \__ parallel t oeach other

a

the sides of a circumscribed equilateral triangle are \_____ bisected at the points of contact to the circle

a

if two chords of a circle bisect each other both chords are \____- diameters

aa

a line that is perpendicular to hte tangent of a circle at the point of contact will \___ pass through the center of htat circl

N

an inscribed angle of a circle is \___ equal to the measure of hte arc it subtends

n

an angle inscribed in a minor arc is \____ acute

n

if a:b\=c:d then d:b\=a:c can\_____ be obtained by performing transformations

s

in triangle ABC and RST if a:b\=r:s and ancle C\= angle T then triangle ABC and RST are \______ contgruent

S

Two triangles that are equal are \____ congruent

s

if two polygons have the same number of sides then they are \_____ similar

n

if hte number of degrees in an angle is y then its complememnt is \____180 degrees -y

a

the perimeter of a regular polygon of n sides inscribed in a circle is \______less than the circumference of the cirlce (n is any integer greater than 0 and less than infinity)

FOR TRUE AND FALSE USE DIAGRAM \#1

FOR TRUE AND FALSE USE DIAGRAM \#1

true

arc EC and arch FD are equal in degrees

false

if arc EC \=47 degrees then arc AF\=153 degrees

true

the number of angle degreees in angle FOD is equal to the number of arc degrees in arc EC

false

angle FOD is an inscribed angle

false

angle AOF is the complement of angle EOC

true

if arc EC is less than 90 degrees the nangle AOF is obtuse

false

arc AF is the same length as arc BE

true

the two circles are concentric

70 degrees

angele BOC (\#2)

35 degrees

angle ADB (\#2)

55 degrees

angle DAQ (\#2)

20 degrees

angle CPD (\#2)

70 degrees

arc AB (\#2)

125 Degrees

arc CD (\#2)

30 degrees

if angle 1\= 30 degrees and angle 2\= 45 degrees find angle 3 (\#3)

110 degrees

if angle 1 \= 30 degrees and angle 4\= 40 degrees find angle ADC (\#3)

45 degrees

if BD\=AC and BD is perpendicular to AC find angle 2 (\#3)

4 pi inches

the length of a 60 degree arc of a circle with a radius of 12 inches is

8 3 (3 is sq. rt) inches

the altitude of an equilateral triangle with a side of 16 inches is

a segment

the area enclosed by an arc of a circle and the chord of the arc is

256 sq. inches

two regular octagons have perimeteres of 2 inches and 8 inches if the smaller has an area of 16 sq. inches the nthe larger has ana area of

6 inches

a square whose area is 144 sq. inches has an apothem of

8

the hypotenuse of a right triangle is 10 and one leg is 6 the other leg is

circumference divided by diameter

the value of pi can be thought of as

216 3 (3 is Sq. Rt.) Sq. Inches

if a regular hexagon has a side 12 inches long its area is

128 sq. inches

a circle has an area of 64 pi sq. inches the area of a square inscribed in hte cirlcle is

equal

angles 1 and 5 are (\#4)

supplementary

angles 2 and 5 are (\#4)

corresponding angles

angles 4 and 8 are (\#4)

alternate interior angles

angles 3 and 6 are (\#4)

none of these

angles 5 and 8 are (\#4)

16 sq. inches

if two sides ofa parallelogram are 4 inches and 8 inches in length and have a 30 degree angle between them the area of hte parallelogram is (\#4)

3 3 (second 3 is sq. rt.) inches

the apothem of a regular hexagon that has a 36 inch perimeter is (\#4)