MTHSC 118
Test 2: Form A
Name
SN
March 30, 2010
Tell whether the following statement are always, sometimes, or never true. (¼ point
each)
A trapezoid is a parallelogram.
A quadrilateral that is a kite and a parallelogram is a rhombus.
A rhombus is a kite.
A square is a kite.
A kite that is not a parallelogram is a trapezoid.
An equilateral triangle is isosceles.
A right triangle is isosceles.
A concave kite is a parallelogram
MTHSC 118
Test 2
March 30, 2010
Suppose Fred currently has a Level-1 (analysis) understanding of quadrilaterals as
measured by the van Hiele Model. Describe Fred’s current understanding of a
rhombus (½ point), and explain what concepts related to rhombi he has not yet
mastered but will address at the next level (½ point).
An exterior angle of a regular polygon measures 72°. What is the name of this
polygon? (½ point)
What is the angle measure of an interior angle of a regular octagon? (½ point)
MTHSC 118
Test 2
March 30, 2010
Below is a construction for the perpendicular bisector of a segment.
Prove that Segment CD is perpendicular to segment AB (1 point).
MTHSC 118
Test 2
March 30, 2010
Triangle ABC is an isosceles triangle with base BC. Points X, Y, and Z are the
midpoints of each side. Prove that Triangle XYZ is also isosceles. (1 point)
Continuing from the previous problem, prove also that Segment ZY is parallel to
Segment BC. (1 point) You may use any result from the previous problem.
MTHSC 118
Test 2
March 30, 2010
suur
suur
In the figure below, AB is parallel to CD . BAE measures 75°, and ECD measures
50°. Determine the measure of AEC . (1 point)
MTHSC 118
Test 2
March 30, 2010
In the figure below, Segment AE is parallel to Segment CD. Prove that ΔBAE is
similar to ΔBCD (1 point).
For the figure above, if Segment AB is 2 cm, Segment BC is 4 cm, and Segment BD
is 7 cm, find the length of Segment EB. (1 point).