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Nookie1986 [14]
3 years ago
9

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR?

Mathematics
2 answers:
zhenek [66]3 years ago
8 0
B) m∠C = m∠F
Because now m∠B = m∠E because of the 180 total rule, and if all 3 ∠s are = then they are similar
Anit [1.1K]3 years ago
8 0

Answer: B) m∠C = m∠F

Step-by-step explanation:

Given: In triangles ΔABC and Δ DEF

m∠A = m∠D

To prove both the triangles are similar, we need at-least one one information which is given in option B.

If m∠C = m∠F , then AA similarity criteria , ΔABC and Δ DEF  are similar.

If we choose A) then it will not follow SAS criteria of similarity because ∠A and ∠D are not included angles of AB, CB and DE, FE respectively.

SAS similarity criteria for similar triangles says that if two sides of a triangle are proportional to two sides of another triangle and their included angles are equal, then the triangles are said to be similar.

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A portion of a hiking trail slopes upward at about a 6 angle. To the nearest tenth of a foot, what is the value of x, the distan
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The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:
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When it comes to equity, what does it mean to have negative equity or be
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How did the Romanov dynasty increase Russia's power?
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Answer:

Step-by-step explanation:

  1. The Romanov Dynasty (1613 to 1917) was the last imperial dynasty to rule Russia. During the Romanov reign Russia became and remained a major European power.
  2. The Romanovs share their origins with a handful of other Russian noble families. One of the ancestors of the world-renowned dynasty was Andrey Kobyla – a boyar who lived during the middle of the 14th century. Kobyla was documented in contemporary chronicles only once, in 1347, when he was said to have been sent to Tver with the purpose of meeting the daughter of Alexander I of Tver. Later generations assigned other more illustrious pedigrees to Kobyla, however, they are highly unlikely to be true.
  3. An 18th century genealogy chart even claimed that Kobyla was the son of the Prussian prince Glanda Kambila, who came to Russia in the second half of the 13th century, fleeing the invading Germans. Indeed, one of the leaders of the Prussian rebellion of 1260-1274 against the Teutonic order was named Glande, but the theory acquired no further proof.
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  10. The first task of the new Tsar was to clear the land of the invaders infesting it – thus Sweden and Poland were dealt with respectively.

 

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