If RS+TU=XY and TU=WV, then RS+WV=XY Choose the definition, theorem, or postulate that justifies the statement.

A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality

Substitution property

Step-by-step explanation:

From the list of given options, the option that answers the question is

H. Substitution property

This is so because replacing a term or a value with another implies substitution, as shown when.

WV was substituted for TU in RS+TU=XY.

None of the other options A-G & I-K justify the given expression and operation.

Hence, we can conclude that the answer to the question is the Substitution property

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

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