Geometry Final Review

 $∆RST$ . Given that m∡B=70°  and  m∡C=50°, what is the m∡R?

• 50°

• 60°

• 70°

• 80°

In the triangles shown ∆ABC is dilated by a factor of ⅔ to form ∆RST.  Given that TR = 6 cm, what is the length of CA?

• 4 cm

• 9 cm

• 4.5 cm

• 7.5 cm

In the triangle shown, AB $\parallel$ DE.  What is the length of CD ?

• 1.2

• 3.3

• 6.0

• 7.5

In the triangle shown, HJ∥GK. The following shows a proof of the statement “If a line is parallel to one side of a triangle and intersects the other two sides at distinct points, then it separates these sides into segments of proportional lengths.”

Which reason justifies Step 2?

• Alternate interior angles are congruent.

• Alternate exterior angles are congruent.

• Corresponding angles are congruent.

• Vertical angles are congruent.

Consider the triangles shown. Which can be used to prove the triangles are congruent?

• SAS

• SSA

• ASA

• SSS

Consider the triangles shown. Which would be a correct congruence statement?

• ∆ABC ≅ ∆DEF

• ∆BCA ≅ ∆EDF

• ∆BAC ≅ ∆DFE

• ∆CAB ≅ ∆FED

In the diagram, AC≅DC. Which information would provide enough information to prove that ∆ABC ≅ ∆DEC ?

• ED≅BA

• AD≅EB

• $ED\parallel BA$
  

• $AD\perp EB$

In the diagram, ∆STU is an isosceles triangle where ST is congruent to UT. The paragraph proof shows that ∡S is congruent to ∡U.

Which step is missing in the proof?

• Reflexive Property of Congruence

• Angle Congruence Postulate

• Definition of right angles

• CPCTC

Use the line segment HI to answer the question. Which step should be first to draw a line perpendicular to HI at midpoint J ?

• Place the compass point on point H and set its width to less than HJ .

• Place the compass point on point H and set its width to more than HJ .

• Place the compass point on point J and set its width to less than HI .

• Place the compass point on point J and set its width to more than HI .

Triangle ABC is shown. What is the value of cos A?

• $\frac{3}{5}$

• $\frac{3}{4}$

• $\frac{4}{5}$

• $\frac{5}{3}$