Question

Suppose Δ JCD Δ MAY.

Which other congruency statements are correct?
Select each correct answer.
Ο ΔDCJ ~ΔΥΑΜ
Ο ΔJDC ΣΔΥΜΑ
Ο ΔDJC ΣΔΥAM
Ο ΔCJD~Δ ΑΜΥ

Answer 1

Answer: The correct answers are ΔDJC ΣΔΥAM and ΔCJD~Δ ΑΜΥ.

Step-by-step explanation: Δ JCD Δ MAY means that Δ JCD is congruent to Δ MAY. This means that the corresponding sides and angles of the two triangles are congruent.

ΔDJC ΣΔΥAM is correct because the corresponding sides of Δ JCD and Δ MAY are congruent. In particular, CD = AY, JD = MA, and CJ = YM.

ΔCJD~Δ ΑΜΥ is also correct because the corresponding angles of Δ JCD and Δ MAY are congruent. In particular, <J = <A, <C = <M, and <D = <Y.

ΔDCJ ~ΔΥΑΜ is not correct because the corresponding sides of Δ JCD and Δ MAY are not congruent. In particular, DC ≠ ΥA.

ΔJDC ΣΔΥΜΑ is not correct because the corresponding angles of Δ JCD and Δ MAY are not congruent. In particular, <D ≠ <Y.

Therefore, the correct answers are ΔDJC ΣΔΥAM and ΔCJD~Δ ΑΜΥ.

Hope this helps