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laila [671]
3 years ago
15

Geometry need help........

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
<h2><u>Direct answer</u> :</h2><h2>\color{plum}\boxed{\tt Statements :}</h2>
  1. Segment AO = Segment KT
  2. Segment OR = Segment TE
  3. ∠AOR = ∠KTE
  4. △AOR≅△KTE
<h2 /><h2>\boxed{\color{plum}\tt  Reasons :}</h2>
  1. It is given.
  2. It is given.
  3. It is given.
  4. Since two sides and one incised angle is equal in both the triangles we can conclude that they are congruent under the SAS congruence criterion.

<h3>Steps to derive these statements and resons :</h3>

Given :

In triangle AOR and triangle KTE :

  • Segment AO = Segment KT
  • Segment OR = Segment TE
  • ∠AOR = ∠KTE

Since two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.

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