3 years ago

Identify a pair of vertical angles in the figure.A. and B. and C. and D. and

Mathematics

1 answer:

diamong [38]3 years ago

4 0

Can i see the picture please nut if it was like mine i would say a

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Select the postulate or theorem that you can use to conclude that the triangles are similar.

insens350 [35]

Answer: SAS similarity postulate

Step-by-step explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,

$\frac{QN}{MN} = \frac{QM+MN}{MN} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\frac{NR}{NP} = \frac{NP+NR}{NP} = \frac{10+8}{8} = \frac{18}{8} = \frac{9}{4}$

$\implies \frac{QN}{MN} = \frac{NR}{NP}$

Also,

$\angle QNR\cong \angle MNP$ (Reflexive)

Thus, By SAS similarity postulate,

$\triangle QNR\sim\triangle MNP$

⇒ Option first is correct.

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