Justify the last two steps of the proof.Given MN is congruent to segment PO and MO is congruent to PNProve MNO is congruent to PONProof:1. MN is congruent to segment PO _______ 1. Given 2.MO is congruent to PN_______ 2. Given 3. NO is congruent to ON ________ 3. ? 4.MNO is congruent to PON___ 4. ? *Symmetric Property of congruent to; SAS *Reflexive Property of congruent to; SAS *Symmetric Property of congruent to; SSS *Reflexive Property of congruent to; SSS
Accepted Solution
A:
Statement 3:
NO and ON are the same line. They are congruent by the reflexive property (a line segment is a reflection of itself).
Statement 4:
Shape MNO and shape PON are congruent by side-side-side since:
side PN = side MO side MN = side PO side NO = side ON