Semester 1 Final Geometry - Free Response

Do AB and CD have the same length?

A (-4, 4), B (-2, 1), C (-1, -4), D (2, -2)

Do JK and LN have the same midpoint?

J (-2, 3), K (6, 5), L (0, 7), N (4, 1)

Apply the sequence of transformations to ∆ABC on the graph below:

Reflect ∆ABC across the y-axis, then rotate it 270° counterclockwise.

What additional information would be needed to prove ∆ABC≌∆XYZ using the ASA theorem?

Fill in the blanks with the information needed.

Fill in the blanks:

∠5 and ∠___ are alternate interior angles

∠7 and ∠___ are corresponding angles

∠5 and ∠___ are same-side interior angles (Type this answer)

∠8 and ∠___ are alternate exterior angles

Write the proof: Given: ABbisects ∠CBD, ∠CAB ≅ ∠DAB Prove: △CAB ≅ △DAB

A geologist wants to find the distance d across a river. They locate points as shown below.

The two triangles shown below are similar.