MATH SOLVE

4 months ago

Q:
# Select the correct answer from each drop-down menu. In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF. CD + DE = EF + DE by the Property of Equality. CE = CD + DE and DF = EF + DE by . CE = DF by the Property of Equality. Given, AB = CE and CE = DF implies AB = DF by the Property of Equality.

Accepted Solution

A:

The correct statement : CE=DFTransitive Property of Equality Further explanationEquality means having the same value.Usually stated with the symbol "="It says inequality if there are symbol forms like <,>, ≤ or ≥There are several PROPERTIES OF EQUALITY Addition Property of Equality If a = b, then a + c = b + c.
Subtraction Property of Equality If a = b, then a - c = b - c.
Multiplication Property of Equality If a = b, then a x c = b x c.
Division Property of Equality If a = b, then a / c = b / c.
Given, AB = CE and CD = DFProve: AB = DFStep 1
CD = EFAddition Property of Equality (we add DE on both sides)CD + DE = DE + EF ... equation 1Step 2From the lines in the picture:CE = CD + DEDF = DE + EFSo from equation 1:CE = DF .... equation 2Step 3From Given AB = CE, then equation 2 becomes:AB = DF ----> ProvenLearn moreAlgebraic expressions : Property of Equality, prove, line#LearnWithBrainly