Which of the following describes two triangles that are similar to one another?
Answers
We have to determine, which of the following triangle is similar to another one.
Two similar triangle are always congruent. Two figures are similar if they have the same shape and size.
Two triangles are similar if their corresponding sides are proportional. Two polygons are similar if their corresponding side are proportional.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Both triangles are similar by SSS theorem, because all three pairs are in proportion,
To calculate the proportion of sides,
Triangle 1; m1 = 67, m2 = 15Triangle 2 ; m1 = 15 , m2 = 95
[tex]\dfrac{67}{15}= \dfrac{15}{95}[/tex]
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 24, m2 = 101Triangle 2 ; m1 = 65, m2 = 101
[tex]\dfrac{24}{65}= \dfrac{101}{101}[/tex]
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 45, m2 = 80
Triangle 2 ; m1 = 59 , m2 = 45
[tex]\dfrac{45}{59}= \dfrac{80}{45}[/tex]
Thus the angles are not proportion then the triangle are not similar.
Triangle 1; m1 = 71, m2 = 32Triangle 2 ; m1 = 71 , m2 =77
[tex]\dfrac{71}{71}= \dfrac{32}{77}[/tex]
Thus the angles are in same proportion then the triangle are similar.
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two angles in a triangle have measures of 62 degrees and 15 degrees. What is the measure of the third angle.
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B.47 degrees
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D.103 degrees
Answers
Answer:
the answer is 103
Step-by-step explanation:62°+15°=77° degrees
Then it is 180° - 77° degrees
180°-77°=103°
The measure of the third angle of a given triangle is 103°.
Given that the measure of two angles is 62° and 15°.
We need to find the measure of the third angle.
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°.
Let the measure of the third angle be x.
Now, 62°+15°+x=180°
⇒x=180°-77°
⇒x=103°
Therefore, the measure of the third angle is 103°.
To learn more about the angle sum property of a triangle visit:
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Step-by-step explanation:
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Your Answer is:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
C. 12
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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