SS-Geometry - Chapter 6

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	1.	Find the measure of each interior angle for a regular pentagon. Round to the nearest tenth if necessary.
a.	360	c.	540	
b.	108	d.	72	

____	2.	Find the measure of an interior angle of a regular polygon with 14 sides. Round to the nearest tenth if necessary.
a.	2160	c.	154.3	
b.	25.7	d.	360	

____	3.	Find the measure of each exterior angle for a regular nonagon. Round to the nearest tenth if necessary.
a.	1260	c.	360	
b.	140	d.	40	

Complete the statement about parallelogram ABCD.

____	4.	____
a.	; Alternate interior angles are congruent.	
b.	; Alternate interior angles are congruent.	
c.	; Opposite angles of parallelograms are congruent.	
d.	; Opposite angles of parallelograms are congruent.	

____	5.	
a.	; Opposite sides of parallelograms are congruent.	
b.	; Diagonals of parallelograms bisect each other.	
c.	; Opposite sides of parallelograms are congruent.	
d.	; Diagonals of parallelograms bisect each other.	

Refer to parallelogram ABCD to answer to following questions.

____	6.	What is the length of segment AK?
a.		c.		
b.		d.		

____	7.	What is the distance between points A and C?
a.		c.		
b.		d.		

____	8.	What is the length of segment DK?
a.		c.		
b.		d.		

____	9.	Do the diagonals bisect each other? Justify your answer.
a.	yes;  and 	
b.	yes; The diagonals are not congruent.	
c.	no;  and 	
d.	no; The diagonals are not congruent.	

____	10.	Are the diagonals congruent? Justify your answer.
a.	yes; Both diagonals have a length of .	
b.	yes; Both diagonals have a length of .	
c.	yes; Both diagonals have a length of .	
d.	no; The lengths of the diagonals are not the same.	

Refer to parallelogram ABCD to answer the following questions.

____	11.	Do the diagonals bisect each other? Justify your answer.
a.	yes;  and .	
b.	yes; The diagonals are not congruent.	
c.	no;  and .	
d.	no; The diagonals are not congruent.	

____	12.	Are the diagonals congruent? Justify your answer.
a.	yes; Both diagonals have a length of .	
b.	yes; Both diagonals have a length of .	
c.	yes; Both diagonals have a length of .	
d.	no; The lengths of the diagonals are not the same.	

____	13.	What is the length of segment BD?
a.		c.		
b.		d.		

Determine whether the quadrilateral is a parallelogram. Justify your answer.

____	14.	
a.	no; Opposite angles are congruent.	
b.	yes; Consecutive angles are not congruent.	
c.	no; Consecutive angles are not congruent.	
d.	yes; Opposite angles are congruent.	

____	15.	
a.	yes; Consecutive angles are not congruent.	
b.	no; Consecutive angles are congruent.	
c.	no; Opposite angles are not congruent.	
d.	yes; Opposite angles are not congruent.	

Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.

____	16.	, , , ; Slope Formula
a.	yes; The opposite sides have the same slope.	
b.	no; Opposite sides are the same length.	
c.	no; The opposite sides have the same slope.	
d.	yes; Opposite sides are the same length.	

____	17.	, , , ; Distance and Slope Formulas
a.	no; The opposite sides are not congruent and do not have the same slope.	
b.	yes; The opposite sides do not have the same slope.	
c.	no; The opposite sides do not have the same slope.	
d.	yes; The opposite sides are not congruent and do not have the same slope.	

Quadrilateral ABCD is a rectangle.

____	18.	If  and , find .
a.	96	c.	24	
b.	–6	d.	48	

____	19.	If  and , find .
a.	48	c.	42	
b.	1	d.	45	

____	20.	
In rhombus YZAB, if 12, find .
a.	24	c.	6	
b.	12	d.		

____	21.	
In rhombus TUVW, if , find .
a.	56	c.	34	
b.	68	d.	112	

Given each set of vertices, determine whether parallelogram ABCD is a rhombus, a rectangle, or a square. List all that apply.

____	22.	, , , 
a.	square; rectangle; rhombus	c.	square	
b.	rhombus	d.	rectangle	

____	23.	, , , 
a.	rhombus	c.	square	
b.	square; rectangle; rhombus	d.	rectangle	

____	24.	For trapezoid JKLM, A and B are midpoints of the legs. Find ML.

a.	65	c.	28	
b.	32.5	d.	3	

____	25.	For trapezoid JKLM, A and B are midpoints of the legs. Find ML.

a.	4	c.	68	
b.	34	d.	40	

____	26.	For trapezoid JKLM, A and B are midpoints of the legs. Find AB.

a.	23	c.	35	
b.	8	d.	46	

____	27.	For trapezoid ABCD, E and F are midpoints of the legs. Let  be the median of ABFE. 
Find GH.

a.	7	c.	4	
b.	8	d.	6	

Position and label each quadrilateral on the coordinate plane.

____	28.	rectangle with side length b units and height d units
a.		c.		
b.		d.		

____	29.	square with side length b units
a.		c.		
b.		d.		

____	30.	trapezoid with height d units, bases b and  units
a.		c.		
b.		d.		

____	31.	parallelogram with side length d units and height b units
a.		c.		
b.		d.		

____	32.	rectangle with side length 2k units and height 4k
a.		c.		
b.		d.		

____	33.	square with side length 4k units
a.		c.		
b.		d.		

____	34.	rectangle with side length 4k units and height 2k units
a.		c.		
b.		d.		

____	35.	square with side length 2k units
a.		c.		
b.		d.		

____	36.	isosceles trapezoid with height c units, bases 4d units and 2d units
a.		c.		
b.		d.		

____	37.	isosceles trapezoid with height c units, bases 8d units and 4d units
a.		c.		
b.		d.