Answer:
m∠K =m∠N
HJ/MP=JK/PN
Step-by-step explanation:
The picture of the question in the attached figure
we know that
if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Verify each statement
case a) we have
m∠K =m∠N
The statement is true
Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent
case b) we have
HJ≅MP
The statement is false
Segment HJ and segment MP are proportional, not congruent
case c) we have
m∠J≅m∠N
The statement is false
Because angle J and angle N are not corresponding angles
case d) we have
HJ/MP=JK/PN
The statement is true
Because, the ratio of its corresponding sides is proportional
so
[tex]\frac{HJ}{MP}=\frac{JK}{PN}=\frac{KL}{NQ}=\frac{HL}{MQ}[/tex]
