Geometry
SOL Homework #2
Name_______________________________
Answer each question correctly.
1. According to the Venn diagram, which statement
is true?
4. Given: AD and BC intersect at X
AX = XB
CX = XD
A all isosceles triangles are also equilateral triangles
Which congruency statement is true?
B all equilateral triangles are also isosceles triangles
C some equilateral triangles are also isosceles triangles
D no isosceles triangles are equilateral triangles
F ACX  BXD
G ACX  DXB
H ACX  BDX
2. Which of the following statements represents a
valid argument?
J ACX  DBX
F If a > b and a > c, then b > c.
5. Which list could not be the measures of lengths of
the three sides of a given triangle?
G If a > b and b > c, then a > c.
A 5 cm, 12 cm, 15 cm
H If a < b and a < c, then c < b.
J If a > b and a > c, then a > b + c.
B 2 ft, 6 ft, 5 ft
C 11 mi, 4 mi, 12 mi
3. Given: AXY  ABC
AYX  ACB
D 12 yd, 35 yd, 20 yd
6. In the drawing of triangle XYZ, which angle has the
least measure?
F all angles have the same measure
G XYZ
Which is a true proportion?
A
AX AY XY


AB AC BC
B
AX AY XY


XB YC BC
H ZXY
C
XB YC BC


AX AY XY
D
AX AC XY


AB AY BC
J XZY
7. If mA  65,mB  15,mC  100, which lists
10. For the triangle represented by the below drawing,
the sides of the triangle in order from shortest to longest?
what is the length of XZ ?
A AC, AB,BC
B BA,BC, AC
C BA, AC,BC
D AC,BC,BA
F 7.5 2
8. A windlass is used to pull a boat to the dock. The
rope is attached to the boat at a point 7 feet below the
level of the windlass.
G 7.5 3
H 15 2
J 15 3
What is the distance from the boat to the dock when the
rope is 25 feet?
F 25 ft
G 24 ft
H 18 ft
J 7 ft
9. The parallelogram has the measurements shown.
Which is closest to the length of the altitude, h?
A 19.63
B 8.91
C 8.67
D 6.81