Geometry A Pre-Test

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

Use the diagram to answer the following question(s).

____	1.	What is another name for ?
a.		c.		
b.		d.		

____	2.	What is another name for ?
a.		c.		
b.		d.		

____	3.	The figure below is a rectangular shipping box. Name two different planes that contain .

a.	plane ADE, plane CGH	c.	plane ADC, plane CGH	
b.	plane ADE, plane FBC	d.	plane FBC, plane ADC	

____	

4.	Find AB.

a.	12	c.	20.5	
b.	53	d.	70	

____	5.	Identify the segment bisector of . Then find AB.

a.	; 	c.	; 	
b.	; 	d.	; 	

____	6.	The endpoints of  are  and . Find the coordinates of the midpoint M.
a.		c.		
b.		d.		

____	7.	The midpoint of  is . One endpoint is .  Find the coordinates of endpoint G.
a.		c.		
b.		d.		

____	8.	Find the perimeter of the polygon with vertices , , , and .
a.	16 units	c.	8 units	
b.	14 units	d.	28 units	

____	9.	Find the area of the polygon with vertices , , , and .
a.	21 square units	c.	9 square units	
b.	12 square units	d.	4.5 square units	

____	10.	In the diagram, . Find . 

a.	91°	c.	62°	
b.	82°	d.	40°	

____	11.	In the diagram,  bisects , and . Find .

a.	36°	c.	54°	
b.	108°	d.	72°	

____	12.	In the diagram,  bisects . Find .

a.	28°	c.	44°	
b.	88°	d.	22°	

____	13.	 is a complement of , and . Find .
a.	24°	c.	114°	
b.	132°	d.	66°	

____	14.	 is a supplement of , and . Find .
a.	114°	c.	57°	
b.	123°	d.	33°	

____	15.	Two angles form a linear pair. The measure of one angle is eight times  the measure of the other angle. Find the measure of the larger angle.
a.	78.8°	c.	160°	
b.	157.5°	d.	80°	

____	16.	Let p be “you go to Leo’s Coney Island” and let q be “you eat coney dogs.”  Write the converse and state whether it is true or false.
a.	If you go to Leo’s Coney Island, then you eat coney dogs. True.	
b.	If you do not go to Leo’s Coney Island, then you do not eat coney dogs. False.	
c.	If you eat coney dogs, then you go to Leo’s Coney Island.  True.	
d.	If you eat coney dogs, then you go to Leo’s Coney Island.  False.	

____	17.	Based on the diagram below, is  m2 + m3 = 180°?  If so, state the reason that proves it.

a.	True; They are a linear pair.	c.	True; They are adjacent angles.	
b.	True; They are vertical angles.	d.	False	

____	18.	Find the values of x and y.

a.	, 	c.	, 	
b.	, 	d.	, 	

____	19.	In the diagram, . Identify three numbered angles that have a measure of 105°.

a.	, , and 	c.	, , and 	
b.	, , and 	d.	, , and 	

____	20.	In the diagram, . Find the value of x.

a.	120	c.	20	
b.	60	d.	160	

____	21.	In the diagram,  bisects  and . Find the value of w.

a.	17	c.	28	
b.	4	d.	41	

____	22.	Find the distance from point P to .

a.	about 3.2 units	c.	10 units	
b.	 4 units	d.	about 2.8 units	

____	23.	Find the coordinates of point Q along the directed line segment AB so that the ratio of AQ to QB is 4 to 2.

a.	(–10, 0.3)	c.	(0, –12)	
b.	(–10, –12)	d.	(0.3, 0)	

____	24.	Write an equation of the line passing through the point (6, –2) that is parallel to the line .
a.		c.		
b.		d.		

____	25.	Write an equation of the line passing through the point (6, 4) that is perpendicular to the line .
a.		c.		
b.		d.		

____	26.	An architect is designing a garden for a client on a planning sheet. The client requests the relocation of a water fountain by the rule . Later, the client decides that they would prefer the water fountain’s location moved from this new position 5 units left and 2 units up. Find the composition as a single transformation.
a.		c.		
b.		d.		

____	27.	Graph  with vertices B(2, 1), C(3, 3) and D(3, 1) and its image after the reflection in the line n: .
a.		c.		
b.		d.		

____	28.	Graph  with endpoints A(2, –2) and B(2, 1) and its image after a reflection in the line .
a.		c.		
b.		d.		

____	29.	Graph  with vertices A(–4, 0), B(–3, 2) and C(–1, 2) and its image after the glide reflection.

Translation: 
Reflection: in the x-axis
a.		c.		
b.		d.		

____	30.	Graph polygon ABCD with vertices A(4, -6), B(3, -3), C(2, -4) and D(2, -6).  Then, graph its image after a rotation of 90° counterclockwise about the origin.
a.		c.		
b.		d.		

____	31.	Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

a.	; reduction	c.	; enlargement	
b.	; reduction	d.	; enlargement	

____	32.	Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

a.	; enlargement	c.	; enlargement	
b.	; reduction	d.	; reduction	

____	33.	Describe the similarity transformation that maps  to  (dilations have a center at the origin).

a.	translation 2 units left and 3 units down followed by a dilation with a scale factor of 2	
b.	translation 2 units right and 3 units up followed by a dilation with a scale factor of 	
c.	dilation with a scale factor of  followed by a translation 2 units right and 3 units up	
d.	dilation with a scale factor of 2 followed by a translation 2 units left and 3 units down	

____	

34.	Find the value of x.

a.	7	c.	14	
b.	9	d.	5	

____	35.	Find .

a.	54°	c.	63° 	
b.	27°	d.	36°	

____

36.	Find .

a.	56°	c.	8°	
b.	76°	d.	104°	

____	37.	In the diagram, . Find the value of y. 

a.	y = 43	c.	y = 45	
b.	y = 50	d.	y = 78	

____	

38.	Find . 

a.	70°	c.	62°	
b.	97°	d.	83°	

____	39.	Which statement is true based on the diagram?

a.	 and  are vertical angles.	
b.	 is an angle bisector.	
c.	Points A, B, and C are collinear.	
d.	none of these	

____	40.	Which statement is true based on the diagram?

a.	 and  are congruent segments.	
b.	 and  are a linear pair.	
c.	 and are opposite rays.	
d.	none of these	

____	

41.	Which of the following statements is false?

a.	Line n and  intersect at point D.	c.	Points A, B, and C are collinear.	
b.	Line m intersects plane S at point C.	d.	Line n is in plane S.	

____	42.	Which of the following statements if false?

a.	 and  are coplanar.	
b.	Plane T and plane S intersect at .	
c.	Plane S contains points L, B, and E. 	
d.	Points A, B, and C all exist in both planes S and T.	

____	43.	In the diagram,  and . What is the measure of 2?

a.	26°	c.	154°	
b.	64°	d.	178°	

____	44.	In the diagram, , and Q is the center of the circle. Name two triangles that are congruent. 

a.		c.		
b.		d.		

Short Answer

	45.	Determine which of the lines are parallel and which of the lines are perpendicular.

a. , b^d          b. a  b, c^d          c. b  d, a^c          d. a  d, b^c

	46.	Determine which of the lines are parallel and which of the lines are perpendicular.

a. , b^d          b. a  b, c^d          c. b  d, a^c          d. a  d, b^c

47.	Describe a congruence transformation that maps  to 

a. A rotation of 180° about the origin followed by a translation 6 units right..
b. A reflection in the y-axis followed by a reflection in the x-axis.
c. A reflection in the y-axis followed by a rotation of 90° about the origin.
c. A translation 1 unit right followed by a reflection in the line y = -4.

	48.	Find the measure of each acute angle. 

A. 49°, 41°	B. 52°, 38°	C. 40°, 50°	D. 68°, 22°

Problem

	49.	

A. x = 29	B. x = -13	C. x = 31	D. x = 13

	50.	

A. m1 = 65, m2 = 115	B. m1 = 115, m2 = 115
C. m1 = 115, m2 = 115	D. m1 = 65, m2 = 65