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Alecsey [184]
2 years ago
10

Using Triangle Congruence Theorems

Mathematics
1 answer:
kodGreya [7K]2 years ago
4 0

There are a total of five theorems congruent triangles. They are summarized as:

  • SAS
  • SSS
  • AAS
  • RHS and
  • ASA.

<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
#SPJ1

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Answer:

168.24784 m²

Step-by-step explanation:

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Area not covered by the sprinkler:

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Note: You missed to add the dot plots chart. As I found the chart after a little research. Thus, I am attaching it and based on that dot plot chart I am solving the question which anyways would clear you concept.

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Step-by-step explanation:

From the diagram, it is clear that

The data set containing Poplar Middle School:

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The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

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The data set containing Oak Middle School:

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The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

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So, the difference in mean will be:

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Therefore, 'there are about 2 more students in each class at Oak Middle School than at Poplar Middle School' is the correct statement.

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