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chubhunter [2.5K]
3 years ago
8

If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0

Answer:

The  statements which are correct are:

  • It is enough to show that two pairs of corresponding angles are congruent.
  • It is enough to show that all three pairs of corresponding sides are in the same ratio.

Step-by-step explanation:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Two triangles are similar if they have:


  • all their angles equal
  • corresponding sides are in the same ratio

There are three ways to find if two triangles are similar: AA, SAS and SSS:

1)

It is enough to show that two pairs of corresponding angles are congruent.

because if two triangles will be congruent than automatically the third will also be congruent and  hence we can apply AA similarity.

2)

It is enough to show that all three pairs of corresponding sides are in the same ratio.

Hence, it will imply SSS similarity.

Hence, these two conditions would be enough to show that the triangles are similar.


Gnesinka [82]3 years ago
5 0

When two triangles are similar they are:"It is enough to show that two pairs of corresponding angles are congruent.""It is enough to show that two pairs of corresponding sides are in the same ratio."We appreciate your questions. Please, never hesitate to ask more in Brainly your queries. 
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julia-pushkina [17]

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

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x² = 1764

x = ✓1764

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4 0
2 years ago
Solve the equation <br>9-7x-7-7x=4
mafiozo [28]

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3 years ago
when Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
Scrat [10]

Answer:

The amount of floor Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

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Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

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The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups.

3 0
3 years ago
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