Geometry
Unit 1 Posttest Review
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Answer the following question. SHOW WORK where necessary. Circle your final answer.
1) What are the three undefined terms in Euclidean geometry?
2) What are the properties of translations? Which one of these is NOT shared by any of the other
rigid transformations?
3) What is Euclid’s most known contribution to Geometry?
4) Who founded a philosophical society that devoted itself to the study of mathematics?
5) You need exactly _____ points to define a plane.
6)
Which of these professionals most directly uses geometry? Choose the best answer.
Criminal lawyer
Language interpreter
Opera singer
Medical imaging specialist
Geometry
Unit 1 Posttest Review
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7) If polygon ABCD rotates 90° counterclockwise about the origin to create polygonA′B′C′D′, what
are the coordinates of point B′ ?
8) If polygon ABCD is translated 3units to the right what do we know about the length of the sides
of the new image, the angles of the new image, and the distance from B to B’?
9) Polygon ABCDE is rotated 90° counterclockwise about point F to produce the following polygon
FGHIJ. What is the m<CDE?
10) What do we know about the length of a line segment if it is translated, reflected, or rotated?
11) Greg is designing the clock face for a homemade clock. Using the center of the clock face as the
origin, he places the label 12 at the point (0, 3). At what point should he place the label 3? (Hint:
this is a rotation.)
Geometry
Unit 1 Posttest Review
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12) If a shape is dilated, how do you find the size of the new shape?
13) Polygon ABCD is transformed to create polygon A’B’C’D’. What transformation took place?
14) Regular hexagon ABCDEF rotates 300° clockwise about its center to produce the hexagon
A’B’C’D’E’F’. Which point will D and E now coincide with in the new image?
15) Through what angle of rotation will a regular dodecagon (12-sided figure) coincide with its
preimage? (Hint: How much would you have to rotate it, so its sides matched up)
Geometry
Unit 1 Posttest Review
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16) Across how many lines of reflection can the combined figure reflect onto itself?
17) According to the map, which two streets are parallel to each other. Name all the sets.
18) What is the relationship between the radius and diameter of a circle? (Hint: think in terms of
dilations or scale factor)
19) What is the definition of the vertex of an angle?
20) What sequence of transformations will map ABCD to A’B’C’D’?