Mark the givens in the diagram. Then copy the proof on paper, and fill in the blanks to complete the proof. If at bisects las prove that lat = sat.

1. LA = ? Reason = given
2. TA = ? Reason = reflexive property
3. LAT = ? Reason = ?
4. LAT = ? Reason = ?

Respuesta :

The complete proofs and reasons are:

  1. LA = SA ---- Given
  2. TA = TA -- Reflective property
  3. Angle LAT = Angle SAT --- Definition of angle bisector
  4. Triangle LAT = triangle SAT --- Congruent by SAS

Proofs

Proofs in geometry are used to prove or disprove a conjecture or a mathematical statement.

Types

The types of proof in geometry are:

  • Direct proof
  • Proof by induction
  • Proof by contradiction

Based on the above types of proof, the mathematical proof to use is a direct proof

The direct proofs and reasons are as follows:

  1. LA = SA ---- Given
  2. TA = TA -- Reflective property
  3. Angle LAT = Angle SAT --- Definition of angle bisector
  4. Triangle LAT = triangle SAT --- Congruent by SAS

Read more about mathematical proofs at:

https://brainly.com/question/1788884