END OF SEMESTER TEST GEOMETRY A
Questions and Answers
1.Which phrase best describes a theorem in an axiomatic system?
Answer a statement proven to be true using logic
2.proof
Answer A logical argument that shows a statement is true.
3.theorem
Answer a statement that requires a proof
4.axiom
Answer a given definition
assumed to be true
5.In the image, point A marks the center of the circle. Which two lengths
must form a ratio of 1:2?
Answer AI;EF
6.CR and DS are perpendiculars dropped from AB to PQ , and AB is
perpen- dicular to CR and DS. If CR = DS, which statement must be true?
Answer m RCD = m ACD
1/
7
, 7.Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2)
dilates with respect to the origin to give rectangle A'B'C'D'. If = 6, what is the
scale factor of the dilation?
Answer 2
8.In each diagram, ABC has been transformed to yield A'B'C'. Which
transfor- mation could NOT be achieved by rotation alone?
Answer E.
9.There are seven lines of reflection across which the regular polygon
ABCDEFG can reflect to map onto itself. One of them is a of
.
Answer perpendicular bisector
line segment AB
10.A parallelogram rotates about its center. At what angle of rotation will
the image of the parallelogram coincide with its preimage?
Answer 180°
11.ABC rotates around point D to create A2B2C.2
Based on the position of , shown in the figure, the coordinates of A2are
.
If A2B2C2rotates 90° counterclockwise around point E(7, 5) to form triangle
2/
7
Questions and Answers
1.Which phrase best describes a theorem in an axiomatic system?
Answer a statement proven to be true using logic
2.proof
Answer A logical argument that shows a statement is true.
3.theorem
Answer a statement that requires a proof
4.axiom
Answer a given definition
assumed to be true
5.In the image, point A marks the center of the circle. Which two lengths
must form a ratio of 1:2?
Answer AI;EF
6.CR and DS are perpendiculars dropped from AB to PQ , and AB is
perpen- dicular to CR and DS. If CR = DS, which statement must be true?
Answer m RCD = m ACD
1/
7
, 7.Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2)
dilates with respect to the origin to give rectangle A'B'C'D'. If = 6, what is the
scale factor of the dilation?
Answer 2
8.In each diagram, ABC has been transformed to yield A'B'C'. Which
transfor- mation could NOT be achieved by rotation alone?
Answer E.
9.There are seven lines of reflection across which the regular polygon
ABCDEFG can reflect to map onto itself. One of them is a of
.
Answer perpendicular bisector
line segment AB
10.A parallelogram rotates about its center. At what angle of rotation will
the image of the parallelogram coincide with its preimage?
Answer 180°
11.ABC rotates around point D to create A2B2C.2
Based on the position of , shown in the figure, the coordinates of A2are
.
If A2B2C2rotates 90° counterclockwise around point E(7, 5) to form triangle
2/
7
