Prove if possible that the following pairs of triangles are congruent. Write the complete proof in your paper homework and for o
nline (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
2 answers:
Answer:
ΔDAM ≅ ΔTUM according to Side Angle Side (SAS) rule of congruency
Step-by-step 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.
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If we solve both of these for x, we get:
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So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.
