Regents Geometry Midterm Review

∆ABC is a right triangle. Find the length of x, the altitude of ∆ABC.

• 54 units

• 6√3 units

• 3√6 units

• There is not enough information to determine the length of x.

Find the length of BC.

• 2

• 3

• 9

• 14

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

What is this construction?

• Perpendicular Bisector

• Perpendicular Through Point Not On Line

• Parallel Line Though Given Point

• Perpendicular Line Through Point On Line

Fill in the missing proofs.

• Vertical Angles are Congruent, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Reflexive Property, Vertical Angles are Congruent

• Transitive Property, SSS(Side-Side-Side)

∆DEF and ∆TUV are congruent triangles. Which statement is known to be true?

• DE≅TU

• DF≅TU

• DF≅UV

• DE≅TV

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 

• (1,5)

• (3,7)

• (4,4)

• (5,8)

What method could be used to prove the triangles congruent?

• ASA

• AAS

• SAS

• HL

• Choice (1)
• Choice (2)
• Choice (3)
• Choice (4)