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Viefleur [7K]
3 years ago
10

If a/b and c/d are rational expressions, then a/b•c/d=a•c/b•d true or false?

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0
That would be true :)
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Please help urgent!!
USPshnik [31]

Answer:

Q M \cong R M \Rightarrow definition of midpoint

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence

\Delta P Q M \cong \Delta P R M \Rightarrow SSS congruence postulate

\angle Q \cong \angle R \Rightarrow CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.  

\overline{Q M} \cong \overline{R M} \Rightarrow  definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.  

\overline{P M} \cong \overline{P M} \Rightarrow Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

\Delta P Q M \cong \Delta P R M \Rightarrow  SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

\angle Q \cong \angle R \Rightarrow CPCTC theorem.

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