Chapter 9 Test study guide

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

____	1.	Which of the following transformations represents an isometry?
a.	
	c.	
	
b.	
	d.	

____	2.	A reflection is always ________.
a.	a rotation	c.	an isometry	
b.	a translation	d.	reflexive	

____	3.	Which glide reflection could map triangle ABC to triangle ?

a.	Translation: 
Reflection: in 	c.	Translation: 
Reflection: in 	
b.	Translation: 
Reflection: in 	d.	Translation: 
Reflection: in 	

____	4.	Which of the following shows the image of  after the glide reflection described?
Translation: ; Reflection: in 
a.	
	c.	
	
b.	
	d.	

____	5.	Which figure has more than 1 line of symmetry?
a.	
	b.	
	c.	
	d.	

____	6.	During ceramics class, Susan painted plates for her mother. Which design exhibits rotational symmetry?
a.	
	b.	
	c.	
	d.	

Short Answer

	7.	An ISOMETRY is a transformation which does not have to preserve ________.

	8.	The rule for this transformation of  onto  is _________ .

	9.	The point A(–7, 3) is translated onto  by the vector  = . The coordinates of  are _______.

	10.	 What are the coordinates of the vertices when the figure is reflected in line m? 

	11.	The change in position from the solid figure to the dotted figure is best described as a ______.

	12.	Use the graph below to complete the sentence. 

Figure  is the image of figure ABCD under a rotation _______

	13.	The transformation is applied to the figure below. Graph the image of the figure under this transformation.

	14.	The transformation is applied to the figure below. Graph the image of the figure under this transformation.

	15.	The composition of two (or more) isometries is always ______.

Graph  with vertices Then graph its image after the given transformation.

	16.	Rotate 180°. Then translate using 

	17.	Translate using  Then rotate 180°.

	18.	The hexagon shown below is equiangular. How many lines of symmetry does it have?

Use the diagram.

	19.	Segment  is translated so that (x, y)® (x + 4, y – 3).
Find the coordinates of the endpoints of the image .

	20.	Segment  is translated by the rule (x, y) ® (x – 4, y + 5).
Find the coordinates of the endpoints of the image .

	21.	A figure is translated using the vector  What translation vector would move the image back to its original position?

	22.	Suppose the points on the graph are translated using translation vector . Find the image of:
a. S
b. (3, –2)
c. 

	23.	Graph DPQR with   and  Graph  after the translation described by the vector 

	24.	Draw the image produced when triangle ABC is translated using the vector .

	25.	Find the translation vector, , that maps  onto .

	26.	Find the vector, , that will translate  onto .

	27.	The translation vector is  = . If the image of A is  find the coordinates of point A.

	28.	Write the component form for the vector that shows the translation of the thin-lined figure to its thick-lined image. 

	29.	Draw the image of the figure after the translation given by the vector .

	30.	Graph the triangle whose vertices have the coordinates given below. Then draw its reflection in the x-axis.
(–7, 2), (–2, 2), (–6, 7)

	31.	Suppose the triangle in the figure below is reflected in the x-axis.

Draw the line of reflection and the image triangle.

	32.	The vertices of  are . Reflect the triangle in the line . Graph the triangle and its image.

	33.	Quadrilateral WXYZ has vertices . Reflect the quadrilateral in the line . Graph the quadrilateral and its image.

	34.	Name the transformation. 

	35.	Name the transformation.

	36.	Graph the figure with vertices . Rotate the figure 90° counterclockwise about the origin.

	37.	Find the coordinates of the image of a triangle with vertices A(0, 2), B(–2, 0), and C(6, –4) for a rotation of 90° counterclockwise about the origin.

	38.	Find the image of DABC after the glide reflection described. 
Translation: ; Reflection: in 

	39.	Find the image of DABC after the glide reflection described.
Translation: ; Reflection: in 

Draw the image of the given figure after a dilation with center O and the given scale factor.

	40.	scale factor: 

	41.	scale factor: 2

Write a product to represent the dilation.

	42.	

	43.	

	44.	

Tell what type of transformation is described.

	45.	The coordinates of the image are four times the corresponding coordinates of the original.

	46.	Quadrilateral  is the image of quadrilateral ABCD after a dilation with a scale factor of 3. Using the origin as the center of the dilation, draw  and label its vertices with their coordinates.