Unit 1a Review

Terms and Postulates

100

Which of the following terms best matches the definition below:

an infinite number of points on a straight path that extend in opposite directions with no end.

a. plane

b. line

c. circle

d. ray

200

Which term matches the definition below:

an infinite number of points and lines on a flat surface that extend without end. It has no thickness.

plane

300

K                        L                 M

l--------------------l--------------l

      4x + 7                5x - 12

If KM = 67, what is LM?

4x + 7 + 5x - 12 = 67

9x - 5 = 67

9x = 72

x = 8

LM = 5x - 12

LM = 5(8) - 12

LM = 28

400

Suppose point R is the interior of angle SPQ. If the measure of angle SPR is 58 degrees, and the measure of angle SPQ is 119, what is the measure of angle QPR?

58 + QPR = 119

QPR = 61

500

What is the term for the following definition: 

formed by two rays with the same endpoint. Each ray is a side, and the common endpoint is the vertex.

angle

Constructions

100

Assume the segment AB has already been constructed. What is the first step to construct the segment VW?

A. Plot two points A and B (one an endpoint) and draw a ray through them.

B. Draw a ray and label the endpoint V or W.

C. Plot two points V and W (one an endpoint) and draw a ray through them.

D. Draw a ray and label the endpoint A or B.

B

200

Assume the segment AB has already been constructed. What is the first step to construct the perpendicular bisector of AB?

A. Put the compass point on point A and draw a long arc. Be sure the opening is greater than 12AB.

B. Open the compass to half of the length of AB and draw a long arc through point A.

C. Open the compass to a quarter of the length of AB and draw a long arc through point A.

D. Put the compass point on point A and draw a long arc. Be sure the opening is less than 12AB.

A

300

Assume ∠C has already been constructed. What is the first step to construct ∠D so that D is congruent to C?

A. Draw a ray and label the endpoint D.

B. Plot points C and D and draw a ray through them using C or D as an endpoint.

C. Draw a segment with endpoints C and D.

D. Plot points C and D and draw a line through them.

A

400

What is the difference between a line that is perpendicular to a segment and the perpendicular bisector of a segment?

A bisector divides the line into two equal parts.

500

A perpendicular bisector of DC is AB, and a perpendicular bisector of AB is DC. The intersection of AB and DC is at E. Which equation is true? 

Choose the correct answer below.

AB=CD

CE=CD

DE=CE

AE=DE

EB=CD

DE = CE

Rigid Motions

100

Which of the following is NOT an example of a Rigid Motion?

a. rotations

b. reflections

c. translations

d. dilations

d. dilations

200

A triangle with coordinates A (3, 1), B (4, 4), C (3, 6) is translated three units down and five units to the left. What are the coordinates of C'?

(-2 ,3)

300

Which of the following transformations will map a square WXYZ onto itself? Select all that apply.

a. r_{(90, center)}

b. T_{(3, 4)}

c. R_(WY)

d. none of the above

a and c

400

True or false: after undergoing a series of rigid motions, the image of a figure is no longer congruent to its original preimage.

false

500

Line segment AB is located in Quadrant I. In which quadrant will its rotated figure CD be located after a rotation of 180 degrees about the origin?

Quadrant III

Composition of Transformations and Symmetry

100

A glide is made up of which two transformations, and in what order?

reflection, then translation

200

Suppose a figure ABC undergoes the following series of transformation: 

r_{(90, o)} ^o R_(y-axis)

Describe the first transformation on the figure.

A reflection over the y-axis

300

True or False: A composition of two reflections can also be written as a rotation or a translation

true

400

How many lines of symmetry are in a regular hexagon?

3 vertices plus 3 sides = 6 lines of symmetry

500

What degree of rotational symmetry does a pentagon have?

360 divided by 5 sides equals 72 degrees.