Fall Geo Interim Review

Point P lies at (-3, 5) and is translated using the rule: (x, y)->(x + 7, y - 3).

What are the coordinates of P’?

• P’(10, 8)

• P’(-6, 12)

• P’(4, 2)

• P’(-4, -8)

Describe the transformation which maps triangle ABC onto triangle A’B’C’.

• Counter-clockwise rotation of 90 degrees

• Counter-clockwise rotation of 270 degrees

• Reflection of the line

  y = x

• Clockwise rotation of 270 degrees

Triangle ABC is reflected over the line x = 1.

Then it is translated using the rule: (x, y)->(x, y - 3).

What are the coordinates of B”?

• (-3, -4)

• (2, -6)

• (5, 0)

• (-6, -1)

A point M is located at (-2, 5). It’s then reflected over a vertical line and ends up at the coordinate (8, 5). What line was the point reflected over?

• x = 0

• y = 5

• x = 3

• x = 5

Which combination of statements would prove the triangles congruent by AAS?

• ∠C ⩭ ∠F, BC ⩭ EF,

  ∠B ⩭ ∠E

• BC ⩭ EF, ∠B ⩭ ∠E,

  AB ⩭ DE

• AB ⩭ DE, BC ⩭ EF,

  AC ⩭ DF

• ∠A ⩭ ∠D, AB ⩭ DE,

  ∠C ⩭ ∠F

In the diagram, RS and UV and are parallel and SU bisects RV.

Which method is NOT a legitimate reason to claim that the triangles are congruent?

• ASA

• rotation

• reflection

• AAS

Which combination of statements is NOT enough to prove that two triangles are congruent?

• Both triangles have sides with lengths 6, 10, and 11 units.

• Both triangles have a side which measures 10 units, another side which measures 13, and an angle of 37 degrees.

• Both triangles have angles which measure 40 degrees and 67 degrees and a side between those angles which is 37 units in length.

Which is the most complete argument for why the figures are congruent?

• They are congruent because you can translate one onto the other.

• They are congruent because you can rotate one and then translate it onto the other.

• They are congruent because you can rotate one onto the other.

• Trick Question! These figures aren’t congruent! LIAR!

Write the rule (x, y)->( x + 8, -y ) in English words meant to be understood by humans.

• The figure is translated right 8 units and then down.

• The figure is translated right 8 units and then subtracted.

• The figure is translated right 8 units and then reflected over the y-axis.

• The figure is translated right 8 units and then reflected over the x-axis.

Which is NOT a valid way to map triangle ABC onto triangle DEF?

• Translate B onto E and then rotate until A coincides with D.

• Translate C onto F, then rotate about point C until B lands on E, then reflect over segment BC.

• Reflect the figure over x = -1, then rotate 90 degrees clockwise about the origin.

• Rotate 90 degrees about point C, then reflect over y = 1. Finally, translate C onto F.