Question

1. if ( \triangle ghjcong\triangle mnp ), then...

( gh=)
( gj=)
( pn=)
( angle mpncong)
( angle jghcong)

Explanation:

Step1: Recall the property of congruent triangles

When \(\triangle GHJ\cong\triangle MNP\), corresponding sides and corresponding angles are equal.
For the side \(GH\), its corresponding side in \(\triangle MNP\) is \(MN\). So \(GH = MN\).

Step2: Find the corresponding side of \(GJ\)

For the side \(GJ\), its corresponding side in \(\triangle MNP\) is \(MP\). So \(GJ=MP\).

Step3: Determine the corresponding side of \(PN\)

For the side \(PN\), its corresponding side in \(\triangle GHJ\) is \(HJ\). So \(PN = HJ\).

Step4: Locate the corresponding angle of \(\angle MPN\)

For the angle \(\angle MPN\), its corresponding angle in \(\triangle GHJ\) is \(\angle GJH\). So \(\angle MPN\cong\angle GJH\).

Step5: Identify the corresponding angle of \(\angle JGH\)

For the angle \(\angle JGH\), its corresponding angle in \(\triangle MNP\) is \(\angle NMP\). So \(\angle JGH\cong\angle NMP\).

Answer:

\(GH = MN\), \(GJ = MP\), \(PN=HJ\), \(\angle MPN\cong\angle GJH\), \(\angle JGH\cong\angle NMP\)