Question

choose the property which proves the statement is true.
select from the drop-down menu to correctly complete the sentence.
if ( mangle def = 104^circ ) and ( mangle jkl = 104^circ ), then ( mangle def = mangle jkl ) by the
reflexive property
subtraction property of equality
substitution property
addition property of equality

Explanation:

Step1: Recall properties of equality

The Reflexive Property states \( a = a \), which doesn't apply here. The Subtraction/Addition Properties involve adding/subtracting the same value to both sides. The Substitution Property allows replacing a quantity with an equal one. Here, since \( m\angle DEF = 104^\circ \) and \( m\angle JKL = 104^\circ \), we substitute \( m\angle JKL \) with \( 104^\circ \) (or vice versa) to show \( m\angle DEF = m\angle JKL \).

Step2: Match with the property

The Substitution Property is used when we replace a value with an equal value. So the correct property is Substitution Property.

Answer:

Substitution Property