Intro. to Geometry
Basic Geometric Concepts
Represent. Transformations
Return Polygon to Original Position
Rigid Transformations
Predicting Rigid Transformations
100
Fill in the information for the axiom:
"If (2 or 3) points lie in a plane, the (plane, line) containing those points also lies in the same plane.
2 points; line
100
Point "A" is the center of this circle. Choose the correct answers
The ratio of the lengths of (EF or BC) and (AD or HI) is 2:1 
The ratio of lengths EF and AD is 2:1
100
Square RSTU dilates by a factor of 1/2 with respect to the origin to create square R'S'T'U'.
If R'S' is 2 units, what is RS?
A.) 2 units
B.) 4 units
C.) 0.5 units
D.) 1 unit
B.) 4 units
100
The regular hexagon ABCDEF rotates 240 degrees counterclockwise about its center to form hexagon A'B'C'D'E'F'. Point C' of the image coincides with point (A, B, E, or F) of the preimage. Point D' of the image coincides with point (A, B, E, or F) of the preimage
Point C' of the image coincides with point E.
Point D' of the image coincides with point F.
100
Line BC is reflected over a line. N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not.
What are the coordinates of "O"?
The coordinates of point O are (6, 5)
100
Which sequence of transformations on preimage triangle ABC will NOT produce the image triangle A'B'C'?
A.) reflection over y = -x, rotation 180 degrees counterclockwise about the origin
B.) Reflection over x-axis, reflection across the y-axis
C.) Reflection over y-axis, rotation 90 degrees clockwise about the origin
D.) Rotation 180 degrees clockwise about the origin, reflection across the line y = -x
E.) Reflection across the line y=x
B.) Reflection over x-axis, reflection across the y-axis
200
Which of these terms is NOT defined in Euclidean geometry?
A.) Pyramid
B.) Line
C.) Square
D.) Triangle
B.) Line
200
Select the correct answers.
On this map, Oxford Street is perpendicular to (George Street or Waterloo Street). Rosewood Street is perpendicular to (Oak Street or Waterloo Street)
Oxford Street is perpendicular to Waterloo Street
Rosewood Street is perpendicular to Oak Street
200
In the figure, polygon ABCD is transformed to create polygon A'B'C'D'.
This transformation is a (horizontal stretch, vertical stretch, or dilation) by a factor of (0.5, 1, 1.5, or 2)
horizontal stretch; 2
200
Squares ABCD and EFGH share a common center on a coordinate plane, as shown in the figure. Line EH is parallel to diagonal line AC. How many lines of reflection does the figure have?
4 lines
200
Which of these properties of a rigid transformation is exclusive to translations?
A.) the measures of the angles and sides in the preimage are preserved
B.) the points in the preimage lie in the same plane as the points in the image
C.) All the points in the preimage are shifted the same distance
D.) The orientation of sequences of points in the preimage are always preserved
C.) All the points in the preimage are shifted the same distance
200
What single transformation maps triangle ABC onto triangle A'B'C'?
A.) Rotation 90 degrees clockwise about the origin
B.) Rotation 90 degrees counterclockwise about the origin
C.) Reflection across the x-axis
D.) Reflection across the line y=x
B.) Rotation 90 degrees counterclockwise about the origin
300
Which of the following professionals most directly use geometry in their work?
A.) Accountants
B.) Astronomers
C.) Judges
D.) Pharmacists
E.) Politicians
B.) Astronomers
300
Line PQ is parallel to line RS.
Line PR and Line QS are perpendicular to line PQ and line RS
The ratio of the lengths of line PR and line QS is ___ : ___
1:1
300
Figure ABCD is plotted on a coordinate plane. The figure transforms to create figure A'B'C'D'. Which transformation took place?
A.) Counterclockwise rotation through 90 degrees about the origin
B.) Reflection across the origin
C.) Reflection across the y-axis
D.) Clockwise rotation through 180 degrees about the origin
E.) Reflection across the x-axis
C.) Reflection across the y-axis
300
The regular pentagon ABCDE rotates counterclockwise about its center to form pentagon A'B'C'D'E'. What is the angle of rotation at which point A' coincides with point D?
144 degrees
300
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is FALSE?
A.) GH = G'H'
B.) G'G = 8 units
C.) m<HIJ = mH'I'J'
D.) m<H'I'J = m<H'IJ'
D.) m<H'I'J = m<H'IJ'
300
1.) What type of transformation maps triangle ABC onto triangle A'B'C' ?
2.) When triangle A'B'C' is reflected across the line x = -2 to form triangle A''B''C'', vertex _____________ of triangle A''B''C'' will have the same coordinates as B'
1.) Reflection
2.) B''
400
Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
A.) Thales
B.) Pythagoras
C.) Euclid
D.) Archimedes
E.) Hippocrates
C.) Euclid
400
What point is the VERTEX of the angle marked in the figure?
Point E
400
Greg is designing a clock face. Using the center of the clock face as the origin, he keeps its diameter at 10 units. Match the positions of the hour on the clock face to their corresponding coordinates.
1.) 12 o'clock --> (0, 5)
2.) 3 o'clock --> (5, 0)
3.) 6 o'clock --> (0, -5)
4.) 9 o'clock --> (-5, 0)
400
Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
A.) 30 degrees
B.) 45 degrees
C.) 60 degrees
D.) 72 degrees
E.) 90 degrees
D.) 72 degrees
400
Polygon ABCDE rotates 45 degrees clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE.
1.) m<ABC = (90, 117, or 127 degrees)
2.) m<BCD = (90, 117, or 127 degrees)
3.) m<DEA = (90, 117, or 127 degrees)
4.) m<CDE = (90, 117, or 127 degrees)
1.) m<ABC = 117 degrees
2.) m<BCD = 90 degrees
3.) m<DEA = 90 degrees
4.) m<CDE = 127 degrees
400
Polygon ABCD goes through a sequence of rigid transformations to form polygon A'B'C'D'. The sequence of transformation involved is a reflection across the (y-axis or y=-x), followed by a reflection across the line (y = x or y = -x)
y-axis; y = -x