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3 years ago

State if the triangles in each pair are similar. If so, state how they are similar and complete the similarity statement.

Mathematics

1 answer:

cluponka [151]3 years ago

6 0

Answer:

Δs DEF and DRQ not similar ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of similarity

AAA similarity : two triangles are similar if all three angles in the first triangle equal the corresponding angle in the second triangle
AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar
SSS similarity : If the corresponding sides of the two triangles are proportional, then the two triangles are similar
SAS similarity : In two triangles, if two sets of corresponding sides are proportional and the included angles are equal then the two triangles are similar.

In triangles DEF and DRQ

∵ m∠EDF = m∠REQ ⇒ vertical opposite angles

∵ m∠E ≠ m∠R

∵ m∠F ≠ m∠Q

<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>

∴ The two triangle are NOT similar by any case of similarity

∴ Δs DEF and DRQ not similar

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Consider the set T = {1, 2, 3, 4, 5, 6}. Let R = {(a, b) | a divides b} be a relation on the set T. Identify the missing ordered

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Answer: The missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

Step-by-step explanation: We are given the following set :

T = {1, 2, 3, 4, 5, 6}.

And, R = {(a, b) | a divides b} be a relation on the set T.

We are to identify the missing pairs from the following list of all ordered pairs in the given relation R on the set T :

{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).}.

Since R contains the ordered pairs (a, b) such that a divides b, so all the ordered pairs in R are

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), and (6, 6).

Thus, the missing ordered pairs are (2, 2), (2, 4), (2, 6), (3, 3) and (3, 6).

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3 years ago

Is bse~ tes? if so, identify the similarity the similarity postulate or theorem that applies

hammer [34]

The triangles are congruent by the SAS congruence theorem. By extension, we can also say they are similar using a closely related theorem. Any time there are congruent triangles, they are automatically similar.

This is why the answer is choice C) Similar - SAS

Note how
SB = ET ... which forms the first "S" in "SAS"
angle ESB = angle SET ... which forms the "A" in "SAS"
SE = SE ... which forms the second "S" in "SAS"
this is why SAS works

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Answer:

ok.

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lol sorry though I don't know sorry

Step-by-step explanation:

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2 years ago

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maw [93]

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Step-by-step explanation:

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