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If △PQR∼△JKL

, which statements are correct?(1 point)
Responses

∠Q≅∠L
and PQ¯¯¯¯¯¯¯¯
corresponds to JK¯¯¯¯¯¯¯¯
.
angle upper Q congruent to angle upper L and Modifying above upper P upper Q with bar corresponds to Modifying above upper J upper K with bar .

∠P≅∠J
and PQ¯¯¯¯¯¯¯¯
corresponds to JL¯¯¯¯¯¯¯
.
angle upper P congruent to angle upper J and Modifying above upper P upper Q with bar corresponds to Modifying above upper J upper L with bar .

∠P≅∠J
and QR¯¯¯¯¯¯¯¯
corresponds to JK¯¯¯¯¯¯¯¯
.
angle upper P congruent to angle upper J and Modifying above upper Q upper R with bar corresponds to Modifying above upper J upper K with bar .

∠Q≅∠K
and PR¯¯¯¯¯¯¯¯
corresponds to JL¯¯¯¯¯¯¯
.

1 answer

Given that triangles \( \triangle PQR \sim \triangle JKL \), the corresponding angles and sides are congruent in the same sequence.

For similar triangles \( \triangle PQR \) and \( \triangle JKL \):

  • The corresponding angles are:

    • \( \angle P \) corresponds to \( \angle J \)
    • \( \angle Q \) corresponds to \( \angle K \)
    • \( \angle R \) corresponds to \( \angle L \)

  • The corresponding sides are:

    • \( PQ \) corresponds to \( JK \)
    • \( QR \) corresponds to \( KL \)
    • \( PR \) corresponds to \( JL \)

From this information, we can analyze the statements you provided:

  1. ∠Q≅∠L and PQ¯ corresponds to JK¯.

    • Incorrect. \( \angle Q \) corresponds to \( \angle K \), not \( \angle L \).

  2. ∠P≅∠J and PQ¯ corresponds to JL¯.

    • Incorrect. \( PQ \) corresponds to \( JK \), not \( JL \).

  3. ∠P≅∠J and QR¯ corresponds to JK¯.

    • Incorrect. \( QR \) corresponds to \( KL \), not \( JK \).

  4. ∠Q≅∠K and PR¯ corresponds to JL¯.

    • Incorrect. \( PR \) corresponds to \( JL \), but it is stated correctly as \( \angle Q \) corresponds to \( \angle K \) which is correct.

None of the provided statements are fully correct. If you need further help or clarification, let me know!