Question

Prove if possible that the following pairs of triangles are congruent. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “Cannot be determined.” △ DAM ≅?△ by reason ? PLEASE HLEP OUT FILL IN QUESTION MARKS 55 POINTS

Answer 1

△ DAM ≅△TUM by reason SAS

Answer 2

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency

Explanation:

The proof of congruency of the two triangles is as follows;

Statement
`{}` Reason

Segment DM is congruent to Segment TM
`{}` Given

Segment AM is congruent to Segment UM
`{}` Given

∠DMA is congruent to ∠UMT
`{}` Given

Therefore, ΔDAM is congruent to ΔTUM
`{}` SAS rule of congruency

Where;

SAS = Side Angle Side

Therefore;

ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency.