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3 years ago

KLMN and PQRS are similar trapezoids. which side of PQRS corresponds to LM

Mathematics

2 answers:

zhuklara [117]3 years ago

8 0

Answer:

Step-by-step explanation:

K<u>LM</u>N is in the same spot as P<u>QR</u>S

gregori [183]3 years ago

6 0

Answer:

QR corresponds to LM

Step-by-step explanation:

Two figures are said to be similar if they have same shape but not necessarily same size.

Two polygons are said to be similar if their corresponding angles are equal and corresponding sides are proportional .

A trapezoid is a polygon in which a pair of sides is parallel .

Here, two trapezoids are given i.e KLMN, PQRS.

As KLMN and PQRS are similar, so their angles are equal i.e

$\angle K=\angle P\,,\,\angle L=\angle Q\,,\,\angle M=\angle R\,,\,\angle N=\angle S$

Also, corresponding sides are proportional i.e

$\frac{KL}{PQ}=\frac{LM}{QR}=\frac{MN}{RS}=\frac{KN}{PS}$

Therefore, side QR corresponds to LM.

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I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

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2 years ago

KLMN and PQRS are similar trapezoids. which side of PQRS corresponds to LM​

KLMN and PQRS are similar trapezoids. which side of PQRS corresponds to LM