Plane Geometry and Similarity Review

• Right

• Obtuse

• Acute

• Equiangular

• All rectangles are squares.

• All parallelograms are quadrilaterals.

• All quadrilaterals are parallelograms.

• All quadrilaterals are squares.

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

What similarity theorem would prove that these triangles are similar?

• SAS∼

• SSS∼

• AA∼

• Side Splitter

Triangle ABC is mapped to triangle A'B'C' by a dilation. What is the scale factor?

• 2

• 3

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'