PQR is congruent to DJE. complete the statement below
PR is congruent to __, DJ is congruent to __ angle E is congruent to __
1) PR is congruent to PQ, DJ is congruent to PQ, angle E is congruent to angle R
2) PR is congruent to DE, DJ is congruent to DR, angle E is congruent to angle P
3) PR is congruent to DE, DJ is congruent to PQ, E is congruent to R
4 PR is congruent to DE, DJ is congruent to PQ angle, E is congruent to angle P
I think its 3
are you guys in connections academy
To complete the statement, we need to identify the parts of the congruent figures that correspond to each other. Let's break down each option:
1) PR is congruent to PQ: This statement is not correct because PQR is given as congruent to DJE, not PQ.
DJ is congruent to PQ: This statement is also not correct because PQR is congruent to DJE, not PQ.
Angle E is congruent to angle R: This statement is correct because corresponding angles of congruent figures are congruent.
2) PR is congruent to DE: This statement is correct because corresponding sides of congruent figures are congruent.
DJ is congruent to DR: This statement is not correct because DJE is congruent to PQR, not DR.
Angle E is congruent to angle P: This statement is not correct because PQR is congruent to DJE, not angleP.
3) PR is congruent to DE: This statement is correct because corresponding sides of congruent figures are congruent.
DJ is congruent to PQ: This statement is not correct because PQR is congruent to DJE, not PQ.
E is congruent to R: This statement is not correct because corresponding angles of congruent figures are congruent, not sides.
4) PR is congruent to DE: This statement is correct because corresponding sides of congruent figures are congruent.
DJ is congruent to PQ angle: This statement is not correct because DJE is congruent to PQR, not PQ angle.
E is congruent to angle P: This statement is not correct because PQR is congruent to DJE, not angle P.
Therefore, the correct completion of the statement is:
"PR is congruent to DE, DJ is congruent to PQ, angle E is congruent to angle R."
Hence, your answer is option 2, not option 3.