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Benito wrote the equations shown about the figure. Explain Benito’s errors.

Benito wrote the equations shown about the figure. Explain Benito’s errors.-example-1
User Jaskiratjd
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2 Answers

1 vote

Answer:

Benito used equals signs when he should have used congruency symbols.

Step-by-step explanation:

User Pedrovgp
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3 votes

Answer:

  • Benito's error was stating that the correspongind sides and angles are equal (=) instead of stating that they are congurent (≅).

Step-by-step explanation:

In geometry two different figures (segments, angles, polygons ,...) are not said to be equal but congruent.

Congruent means that they have the same measure but not that they are equal in other senses.

The use of equal is applied to numbers or variables),so you can tell x = 2, 3 = 3, A = πr², but you should not say segment AB is equal to segment BC. Instead you say segment AB ≅ segment BC, which is segment AB is congruent to segment BC.

Of course, you still can use the word equal (symbol =) if you state that you are talking about measures.

This also can help you

  • Correct: segment AB ≅ segment BC
  • Correct: legth of segment AB = length of segment BC
  • Incorrect: segment AB = segment BC

Segment AB and segment BC are not equal because they are two different segments. They are congruent because they have the same length.

Note: the bars shown over the letters AB, BC, AD, DC, mean segment.

User Ujjwal Wadhawan
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