68 complete the following proof. given: qk=16, pk=26, mk=65, kl=40prove: ∆qpk~∆lmk

Refer below explanation.

Step-by-step explanation:

Given :  two triangles ∆QPK and ∆LMK.

We have to show  ∆QPK ≅ ∆LMK.

Two triangles are similar if ratio of the corresponding sides are equal and measure of corresponding angles are equal.

Statement 1)

QK=16, PK=26, MK=65, KL=40 ( Reason: Given)

Statement 2 )

(reason : ratio of corresponding sides)

Statement 3)

Thus,

(reason: simplify ratios)

Statement 4)

∠MKL = ∠PQK (reason : Vertically opposite angles)

Statement 5)

∆QPK ≅ ∆LMK (reason : Side-angle-side)

Side angle side similarity criterion states that two angles are similar if the ratio of their corresponding sides and angle between these sides are equal then triangles are similar.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

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