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Prove that the medians to the legs of an isosceles triangle are congruent. What rule did you use to prove triangles congruent:
1. AAA
2. ASA
3. Cannot be determined
4. SAS
5. SSS

Respuesta :

Answer:

SSS could be used for equilateral triangles, AAA is impossible, Cannot be determined is easily not an option.

This leaves ASA and SAS

An isoscoles triangle is a triangle that has two equal sides. SAS is an abreviation that says two triangles have 2 equal sides. Therefore, number 4 SAS is correct

Step-by-step explanation:

MrRoyal

The median of the legs of a triangle joins the vertex to the midpoint of the opposite side of the triangle.

The correct postulate is (d) SAS

An isosceles triangle has two congruent sides and angles.

This means that, postulates AAA and SSS are not possible.

This is so, because both postulates imply that the sides and angles of the triangles are congruent.

See attachment for illustration of the median of the isosceles triangles.

From the attachment, we have the following observations.

  • Sides AB and AC are congruent (S)
  • Sides CD and BD are also congruent (S)
  • Angles at D on both triangles are congruent (A)

These mean that:

The triangles are congruent by SAS postulate.

Hence, the correct postulate is (d) SAS

Read more about similar triangles at:

https://brainly.com/question/14926756