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Dmitriy789 [7]
3 years ago
11

Complete the two-column proof by providing the missing statements or reasons.

Mathematics
2 answers:
gogolik [260]3 years ago
5 0

Answer:

ABCD is equal to <= ad-bc-cd-ba

,><

Step-by-step explanation:

Fynjy0 [20]3 years ago
5 0

Answer:

Proof is stated below.

Step-by-step explanation:

Given: ABCD is a rhombus.

To Prove: <1 is congruent to <2.

Therefore,

Given: ABCD is a rhombus.

AD = BC = CD = BA: Definition of a parallelogram / rhombus ; four equal sides.

DO = OB ; AO = OC ; Diagonals of a parallelogram bisect each other.

Triangle DOC is congruent to BOA ; SAS (Side-Angle-Side) theorem.

<1 is congruent to <2 ; Definition of a parallelogram ; consecutive angles are supplementary.

Hence, proved.

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Answer:

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Step-by-step explanation:

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R=\left[\begin{array}{cc}0&1\\1&0\\\end{array}\right]

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Now perform the product of the vector <-1,5> x R.

\left[\begin{array}{ccc}-1\\5\end{array}\right]x\left[\begin{array}{ccc}0&1\\1&0\end{array}\right]\\\\\\\left[\begin{array}{ccc}-1(0) +5(1)&-1(1)+5(0)\end{array}\right]\\\\\\\left[\begin{array}{ccc}5&-1\end{array}\right]

The vector matrix that represents the reflection of the vector <-1,5> across the line x = y is:

V = \left[\begin{array}{ccc}5&-1\end{array}\right]

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Step-by-step explanation:

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