geometry test 12

Always, sometimes, never: Two points (A/S/N) determine one and only one straight line.

A

Always, sometimes, never: If the endpoints of a line segment are on a circle, the segment is (A/S/N) a diameter.

S

Always, sometimes, never: A quadrilateral (A/S/N) has only one diagonal.

N

Always, sometimes, never: If two lines are parallel to the same line, then they are (A/S/N) parallel to each other.

A

Always, sometimes, never: If two lines are cut by a transversal so that the alternate interior angles are equal, the corresponding angels are (A/S/N) equal.

A

Always, sometimes, never: The bisectors of a pair of corresponding angles of two lines cute by a transversal are (A/S/N) parallel to each other.

S

Always, sometimes, never: The sides of a circumscribed equilateral triangle are (A/S/N) bisected at the points of contact to the circle.

A

Always, sometimes, never: If two chords of a circle bisect each other, both chords are (A/S/N) diameters.

A

Always, sometimes, never: A line that is perpendicular to the tangent of a circle at the point of constant will (A/S/N) pass through the center of that circle.

A

Always, sometimes, never: An inscribed angles of a circle is (A/S/N) equal to the measure of the arc it subtends.

N

Always, sometimes, never: An angel inscribed in a minor arc is (A/S/N) acute.

N

Always, sometimes, never: If a:b = c:d, then d:b = a:c can (A/S/N) be obtained by performing transformations.

N

Always, sometimes, never: In a triangles ABC and RST, a:b = r:s and angle C = angle T, then triangles ABC and RST are congruent.

S

Always, sometimes, never: Two triangles that are equal are (A/S/N) congruent.

S

Always, sometimes, never: If two polygons have the same number of sides, then they are (A/S/N) similar.

S

Always, sometimes, never: If the number of degrees in an angle is y, then it's complement is (A/S/N) 180 degrees - y.

N

Always, sometimes, never: The perimeter of a regular polygon of n sides inscribed in a circle is (A/S/N) less than the circumference of the circle (n is any interference greater than 0 and less than infinity).

A

True/false: Arc EC and arc FD are equal in degrees.

T

True/false: If arc EC = 47 degrees, then arc AF = 153 degrees.

F

True/false: The number of angle degrees in angle FOD is equal to the number of arc degrees in arc EC.

T

True/false: Angle FOD is an inscribed angle.

F

True/false: Angle AOF is the complement of angle EOC.

F

True/false: If arc EC is less than 90 degrees, then angle AOF is obtuse.

T

True/false: Arc AF is the same length as arc BE.

F

True/false: The two circles are circumscribed.

T

Matching: Angle BOC

N. 70 degrees

Matching: Angle ADB

G. 35 degrees

Matching: Angle DAQ

K. 55 degrees

Matching: Angle CPD

D. 20 degrees

Matching: Arc AB

N. 70 degrees

Matching: Arc CD

V. 110 degrees

Matching: If angle 1 = 30 degrees and angle 2 equals 45 degrees, find angle 3.

F. 30 degrees

Matching: If angle 1 = 30 degrees and angle 4 = 40 degrees, find angle ADC.

V. 110 degrees

Matching: If BD = AC and BD is perpendicular to AC, find angle 2.

I. 45 degrees

Multiple Choice: The length of a 60 degree arc of a circle with a radius of 12 inches is ___?___.

a. 4(pie) in.

b. 6(pie) in.

c. 12 (pie) in.

d. none of these

A

Multiple Choice: The altitude of an equilateral triangle with a side of 16 inches is ___?___.

a. 8 in.

b. 8(square root of 3) in.

c. 32 in.

d. none of the above

B

Multiple Choice: The area enclosed by an arc of a circle and the chord of the arc is ___?___.

a. a quadrant

b. a sector

c. a segment

d. none of the above

C

Multiple Choice: Two regular octagons have perimeters of 2 in. and 8 in. If the smaller has an area of 16 sq. in., then the larger has an area of ___?___.

a. 4 sq. in.

b. 64 sq. in.

c. 256 sq. in.

d. none of the above

C

Multiple Choice: A square whose area is 144 sq. in. has an apothem of ___?___.

a. 6 in.

b. 6 (square root of 2) in.

c. 6 (square root of 3) in.

d. none of the above

A

Multiple choice: The hypotenuse of a right triangle is 10 and one leg is 6. The other leg is ___?___.

a. 6

b. 8

c. the square root of 136

d. none of these

B

Multiple choice: The value of pie can be thought of as ___?___.

a. diameter/circumference

b. diameter • circumference

c. circumference/diameter

d. none of the above

C

Multiple choice: If the regular hexagon has a side 12 in. long, it's area is ___?___.

a. 72(square root of 3) sq. in.

b. 216(square root of 3) sq. in.

c. 432(square root of 3) sq. in.

d. none of these

B

Multiple choice: A circle has an area of 64(pie) sq. in. The area of a square inscribed in the circle is ___?___.

a. 64(square root of 2) sq. in.

b. 128 sq. in.

c. 128 (square root of 2) sq. in.

d. none of these

B

Multiple choice: Angles 1 and 5 are ___?___.

a. Equal

b. Complementary

c. Supplementary

d. None of these

A

Multiple choice: Angles 2 and 5 are ___?___.

a. Equal

b. Complementary

c. Supplementary

d. None of these

C

Multiple choice: Angles 4 and 8 are ___?___.

a. Alternate interior angles

b. Alternate exterior angles

c. Corresponding angles

d. None of these

C

Multiple choice: Angles 3 and 6 are ___?___.

a. Alternate interior angles

b. Alternate exterior angles

c. Corresponding angles

d. None of these

A

Multiple choice: Angles 5 and 8 are ___?___.

a. Alternate interior angles

b. Alternate exterior angles

c. Corresponding angles

d. None of these

D

Multiple choice: If two sides of a parallelogram are 4 inches and 8 inches in length, and have a 30 degree angle between them, the area of the parallelogram is ___?___.

a. 16 sq. in.

b. 16 (square root of 3)

c. 32 sq. in.

d. none of these

A

Multiple choice: The apothem of a regular hexagon that has a 36-inch perimeter is ___?___.

a. 2(square root of 3) in.

b. 3(square root of 3) in.

c. 6(square root of 3) in.

d. none of these

B