Question

Geometry need help........

Answer 1

Direct answer :

`\color{plum}\boxed{\tt Statements :}`

1. Segment AO = Segment KT
2. Segment OR = Segment TE
3. ∠AOR = ∠KTE
4. △AOR≅△KTE

`\boxed{\color{plum}\tt Reasons :}`

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.

Steps to derive these statements and resons :

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.