Geometry Unit 4

Use the distance formula to find the measure of the sides of triangle ABC with vertices at A(-3,2), B(2,1), C(-2,-3)

• AB=5.1

  BC=5.7

  CA=5.1

• AB=7.3

  BC=5.1

  CA=7.2

• AB=4.8

  BC=5.7

  CA=53

• AB=5.4

  BC=4.8

  CA=5.1

Use the figure to find m∠P

• 132

• 46

• 48

• 42

Use the figure to solve for x

• 13

• 12

• 15

• 14

If the triangles above are congruent, and LM = 65, RS = 2y-5, Solve for y.

• 30

• 65

• 32

• 35

These parallelograms are congruent. Solve for y.

• 25

• 22

• 23

• 27

Describe the methods that could be used to prove these triangles congruent.

• SSS

• SAS

• ASA

• AAS

Describe the methods that could be used to prove these triangles congruent.

• SSS

• SAS

• ASA

• AAS

With this given information, what other steps would be in the congruence proof?

• PR≣PR - Reflexive Property

  ΔPQR ≣ ΔPSR - SSS

• PR≣PR - Reflexive Property

  ΔPQR ≣ ΔPSR - SAS

• ∠Q ≣ ∠S - Corresponding Angles

  ΔPQR ≣ ΔPSR - SAS

• ∠QPR ≣ ∠SRP - Alternate Interior Angles

  ΔPQR ≣ ΔPSR

If C is the midpoint of BF, what steps would be after the given in a proof of triangle congruence?

• BC ≣FC - Definition of Midpoint

  ΔABC ≣ ΔGFC - SAS Congruence

• AC ≣GC - Definition of Midpoint

  ΔABC ≣ ΔGFC - SAS Congruence

• BC ≣FC - Definition of Midpoint

  ΔABC ≣ ΔGFC - ASA Congruence

• ∠BCA ≣ ∠FCG - Vertical Angle Th.

  ΔABC ≣ ΔGFC - AAS Congruence

With this given information, what other steps would be in the congruence proof?

• ∠ACB ≅ ∠DCF - Vertical Angle Th.

  ΔABC ≣ ΔDFC - ASA Congruence

• AC ≣DC - Reflexive Property

  ΔABC ≣ ΔGFC - SAS Congruence

• ∠ACB ≅ ∠DCF - Vertical Angle Th.

  ΔABC ≣ ΔDFC - AAS Congruence

• ∠ACB ≅ ∠DCF - Vertical Angle Th.

  ΔABC ≣ ΔDFC - CPCTC