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Use the given information to prove that APQR ~ ARSP.GivenReflexive PropertyTransitive PropertyAddition and Subtraction PropertiesMultiplication and Division PropertiesSubstitution PropertyDefinition of Congruent SegmentsDefinition of MidpointDefinition of PerpendicularDefinition of Congruent Angles

Use the given information to prove that APQR ARSPGivenReflexive PropertyTransitive PropertyAddition and Subtraction PropertiesMultiplication and Division Proper class=

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Solution:

Given the figure;

Statement 1:

[tex]\begin{gathered} \overline{PQ}\cong\overline{RS} \\ \end{gathered}[/tex]

Reason:

Given

Statement 2:

[tex]\overline{QR}\cong\overline{SP}[/tex]

Reason:

Given

Statement 3:

[tex]\begin{gathered} \overline{PR}\cong\overline{PR} \\ \end{gathered}[/tex]

Reason:

Reflexive property.

Statement 4:

[tex]\triangle PQR\cong\triangle RSP[/tex]

Reason:

Side Side Side (SSS)

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