Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR22, Problem 6P
Solution

Tell whether the figures are congruent, similar or neither. Explain.

Congruent.

Given:

The given figure.

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter SR22, Problem 6P , additional homework tip  1

Concept Used:

  • Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
  • If two figures or objects are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Calculation:

The given figure is −

  Holt Mcdougal Larson Algebra 2: Student Edition 2012, Chapter SR22, Problem 6P , additional homework tip  2

In the given figures the two sides are parallel and two sides are non-parallel so the figures are parallelogram.

Ratio of corresponding sides −

  63=94.5=31.5=31.521=21=21=21

Ratio of corresponding sides are in equal proportion.

So corresponding sides are congruent.

And corresponding angles are also equal so angles are congruent.

Hence both the figures are congruent.

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