Fill in the Blank

Question 1

If angle 1 and angle 2 form a linear pair and the measure of angle 1 = 64 degrees, then ________.

Answer 1

the measure of angle 2 = 116 degrees.

Question 2

Each point on the _______ of a segment is equidistant from the endpoints of the segment.

Answer 2

perpendicular bisector

Question 3

In a regular pentagon, each interior angle has measure __________.

Answer 3

108 degrees. Pentagon has 5 sides. So (180(5-2))/5 = 108 degrees

Question 4

If one of the base angles of an isosceles triangle has measure 40 degrees, then the vertex angle has measure ____________.

Answer 4

100 degrees. Both base angles would have a measure of 40 degrees, leaving the vertex angle to be 180 - 40 - 40, or 100 degrees.

Question 5

In triangle ABC, if the measure of angle A = 50 degrees, the measure of angle B = 72 degrees, and the measure of angle C = 58 degrees, then ______________ is the longest side.

Answer 5

AC. Draw a picture!!! The longest side has to be opposite the largest angle. So AC has to be the longest side.

Question 6

In a regular n-gon, each exterior angle has measure __________.

Answer 6

360/n. The exterior angle sum for every polygon is 360. So if you want one exterior angle measure, divide 360 by the number of sides.

Question 7

If the midsegment of a trapezoid has length 6 cm, and one of the bases has length 4 cm, then the other base has length ____________.

Answer 7

8 cm. Remember, the midsegment of a trapezoid is equal to the sum of the bases divided by two, or the average of the bases. So: (x + 4)/2 = 6

Question 8

The two diagonals of a __________ are perpendicular bisectors of one another, are congruent, and bisect the angles.

Answer 8

square (and by definition a rhombus too)

Question 9

What is the sum of the measure of the interior angles of a dodecagon? ______________

Answer 9

1800. A dodecagon has 12 sides. So 180(12-2) = 1800.

Question 10

Which point of concurrency is equidistant from the three vertices of a triangle? _____________

Answer 10

Circumcenter. The circumcenter is found by constructing the three perpendicular bisectors of the angles.

Question 11

Which point of concurrency is equidistant from the three sides of a triangle? ___________

Answer 11

Incenter. The incenter is found by constructing the three angle bisectors of a triangle.

Question 12

The base angles of an isosceles trapezoid are ___________.

Answer 12

congruent

Question 13

In an isosceles trapezoid, the diagonals are _________.

Answer 13

congruent