Honors Geometry
Semester 1
Final Review 1
Always/Sometimes/Never
1.
Equilateral triangles are similar.
Always
2.
The complement of an acute angle is obtuse.
Never
3.
Two lines perpendicular to the same plane are parallel to each other.
Always
4.
If two isosceles triangles share the same base, the line joining their vertex angles will be the
perpendicular bisector of the base.
Always
5.
The diagonals of a trapezoid bisect each other.
Never
6.
The diagonals of a kite are perpendicular bisectors of each other.
Sometimes
7.
As the number of sides of a polygon increases, the sum of the measures of its interior angles
increases in increments of 180.
Always
The sum of the measures of the exterior angles of a triangle is 180.
Never
8.
9.
An obtuse triangle is congruent to an isosceles triangle.
Sometimes
10.
Each exterior angle of a regular octagon has a measure greater than each exterior angle of a
regular heptagon.
Never
11.
1 and 2 are complementary angles and the m 1 = 6721’37’’. Find m 2.
2238’23’’
12.
4932’55’’ + 3721’15’’
8654’10’’
13.
12315’ – 4026’
8249’
13.
Given: TRS is a straight angle
TRX is a right angle
m TRS = (2x + 5y)
m XRS = (3x + 3y)
X
Find x and y.
T
x = -10, y = 40
14.
R
S
One of two complementary angles added to one half the other yields 72. Find half the
measure of the larger angle.
let x and y represent the two angles
x + y = 90 and x + ½y = 72
x = 54 and y = 36
½ the measure of the larger angle is 27
15.
The supplement of the angle is four times the complement of the angle. Find the measure of
the angle’s complement.
30
16.
The measure of the supplement of an angle is 30 degrees less than five times the measure of
the complement. Find two-fifths the measure of the complement.
12
17.
Given: CD bisects ACB
AC = 8
BC = 6
BD = 5
Find AD.
B
D
20/3
A
C