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2 years ago

Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

5 0

The information given is not enough to prove that triangles PON and BCD are congruent triangles, however, they may be similar triangles based on the AA similarity theorem,

Therefore, the triangles ARE NOT necessarily congruent.

<h3>What are Congruent Triangles?</h3>

Triangles that are congruent will have pairs of corresponding lengths and angles that are congruent to each other.

Triangles PON and BCD have the following:

∠PON ≅ ∠BCD (one pair of congruent angles)

∠OPN ≅ ∠CBD (one pair of congruent angles).

Thus, the information given is not enough to prove that triangles PON and BCD are congruent triangles, however, they may be similar triangles based on the AA similarity theorem,

Therefore, the triangles ARE NOT necessarily congruent.

Learn more about congruent triangles on:

brainly.com/question/1675117

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Step-by-step explanation:

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f '(x) = uv' + vu'

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3 years ago

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Nataly [62]

Answer:

Step 3: x² + 6x + 64 = -8 + 64

Step-by-step explanation:

At step 3 add 64 on both sides to complete the square.

so x² + 6x = -8

becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.

continuing from there, we get

x² + 6x + 64 = 56

we then use a² + 2ab + b² = (a + b)² on the left side to get

(x + 8)² = 56 (solve the equation for x)

by taking the root on both sides

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x + 8 = 2√14

x + 8 = -2√14

Solving for x

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3 years ago

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Aleksandr-060686 [28]

Answer:

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