Question

can you conclude that δspq and δtuv are congruent? justify your answer. can it be concluded that the two triangles are congruent? options: no, yes

Explanation:

Step1: Recall Congruence Criteria

Triangle congruence criteria (SSS, SAS, ASA, AAS, HL) require corresponding sides/angles to be equal. For SSS, all three corresponding sides must be equal.

Step2: Compare Side Lengths

• For \( \triangle TUV \): Sides are \( 6 \), \( 7 \), \( 9 \).
• For \( \triangle SPQ \): Sides are \( 4 \), \( 8 \), \( 9 \).

The side lengths do not all match (e.g., \( 6
eq 4 \), \( 7
eq 8 \)), so SSS (or other criteria) isn't satisfied.

Answer:

No