Triangles JOE and SAM are drawn such that angle E is congruent to angle M, and line EJ is congruent to line MS. Which mapping would not always lead to triangle JOE being congruent to triangle SAM?

1)
2)
3) Line EO maps onto line MA
4) Line JO maps onto line SA

In Euclidean Geometry, ASA is an abbreviation for Angle-Side-Angle and it states that when two (2) angles and the included side in two triangles are congruent, then the triangles are said to be congruent.

The Side-Angle-Side (SAS) congruent theorem states that two (2) sides and the included angle of a triangle must be equal to the two (2) sides and one angle of the other triangle respectively.

In this context, mapping segment JO onto segment SA would not always lead to ΔJOE ≅ ΔSAM when triangles JOE and SAM are drawn such that ∠E ≅ ∠M and EJ ≅ MS because it would represent side-side-angle (SSA), which isn't a valid congruence theorem.

Complete Question:

Triangles JOE and SAM are drawn such that ∠E ≅ ∠M and EJ ≅ MS. Which mapping would not always lead to ΔJOE ≅ ΔSAM?

1) ∠J maps onto ∠S

2) ∠O maps onto ∠A

3) EO maps onto MA

4) JO maps onto SA

Triangles JOE and SAM are drawn such that angle E is congruent to angle M, and line EJ is congruent to line MS. Which mapping would not always lead to triangle JOE being congruent to triangle SAM?1) 2) 3) Line EO maps onto line MA4) Line JO maps onto line SA

Answer :

Other Questions

Triangles JOE and SAM are drawn such that angle E is congruent to angle M, and line EJ is congruent to line MS. Which mapping would not always lead to triangle JOE being congruent to triangle SAM?

1)
2)
3) Line EO maps onto line MA
4) Line JO maps onto line SA