Geometry Semester Review

A student reflects triangle TUV across line r to form triangle XYZ.

Which single measure should the student add to the image to determine the triangles have Side-Side-Side congruency?

• UV = 7.1 in.

• XY = 6.2 in.

• XZ = 11.4 in.

• YZ = 6.2 in.

Consider the regular pentagon with center S, where points F, G, H, J, and K are the vertices of the pentagon, and points X, Y, and Z are the midpoints of their respective sides.

Which reflection carries the regular pentagon onto itself?

• a reflection across the segment formed by points F and J

• a reflection across the segment formed by points G and K

• a reflection across the segment formed by points H and Y

• a reflection across the segment formed by points X and Z

Which best defines a translation in the coordinate plane?

• a transformation where all points in a figure more in different directions by different distances

• a transformation where all points in a figure move in different directions for the same distance

• a transformation where all points in a figure move in the same direction by different distances

• a transformation where all points in a figure move in the same direction for the same distance

Trapezoid QRST undergoes a series of transformations to form trapezoid Q'R'S'T'.

Which statement is true?

• The trapezoids are congruent because there is a set of rigid motions that maps trapezoid QRST onto trapezoid Q'R'S'T'

• The trapezoids are congruent because there is not a set of rigid motions that maps trapezoid QRST onto trapezoid Q'R'S'T'

• The trapezoids are not congruent because there is a set of rigid motions that maps trapezoid QRST onto trapezoid Q'R'S'T'

• The trapezoids are not congruent because there is not a set of rigid motions that maps trapezoid QRST onto trapezoid Q'R'S'T'

Segment TU and segment VW intersect at point P.

If both line segments are dilated by a scale factor of 2.5 about point V to form segments T'U' and V'W', which statement is true?

• (2, 1)

• (6, 3)

• (-6, 1)

• (-14, 9)

Which is the best definition of a reflection of a figure on the coordinate plane?

• a transformation where exactly half of the points in a figure maintain their distances to a fixed line and are mapped to the opposite side of the fixed line

• a transformation where exactly half of the points in a figure decreases their distances by half to a fixed line and are mapped to the opposite side of the fixed line

• a transformation where all points in a figure maintain their distances to a fixed line and are mapped to the opposite side of the fixed line

• a transformation where all points in a figure decrease their distances by half to a fixed line and are mapped to the opposite side of the fixed line

Consider triangle EFG, where segment HJ is parallel to segment FG, EF = 26.1 units, EJ = 10.2 units, and JG = 5.1 units.

What is the length of segment HF?

• 8.7 units

• 10.1 units

• 13.05 units

• 17.4 units

Which diagram best shows a student's steps toward constructing a pair of parallel lines correctly?

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