193 Answered Questions for the topic Proofs

4d

#### Linear Algebra Question

Let G be a function from R2 to R2, G: R2->R2 so, if xER2 then G(x) is uniquely defined. and G(x)ER2 (for example the velocity of a boat as a function of its position on the ocean)We say that G...
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Proofs Geometry

4d

#### how can i prove ABCD is a parallelogram?

Given: Quad. ABCD with diagonal BR, <A=<C and <ABD=<CBD. prove ABCD is a parallelogram

Proofs Geometry

9d

#### Complete the two-column proof of Theorem 3.9

Fill in the blank spaces for the reasonsProve theorem 3.9Given: m⊥l, n⊥lProve: m || nStatements Reasons
m⊥l, n⊥l
<1 is a right angle.
<2 is a right angle...
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21d

#### Verify the identity algebraically. Use a graphing utility to check your result graphically.

5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = 5 cos2(𝜃)Use the Reciprocal and Pythagorean Identities, and then simplify. (Simplify your answers completely.)5 sin(𝜃) csc(𝜃) − 5 sin2(𝜃) = __________ - 5 sin2(𝜃)=...
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21d

#### Verify the identity algebraically. Use a graphing utility to check your result graphically.

5cot(𝛼) / csc(𝛼) - 1 =5csc(𝛼) + 5 / cot(𝛼)Multiply the numerator and denominator by a common expression, and then use a Pythagorean Identity to simplify. (Simplify your answers completely.)5cot(𝛼)...
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#### Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.

Given: C(0,0), A(d,e), T(c + d, e) and S(c,0). Prove that CATS is a parallelogram.

#### Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle

Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle

#### . a. Prove that R(5,0), H(2,1), O(7,4) and M(0,5) are the vertices of a rhombus. b. Prove that this rhombus is not a square.

. a. Prove that R(5,0), H(2,1), O(7,4) and M(0,5) are the vertices of a rhombus. b. Prove that this rhombus is not a square.

#### a. Prove that R(2,1), E(10,7), C(7,11) and T(1,5) are the vertices of a rectangle. b. Prove that this rectangle is not a square.

a. Prove that R(2,1), E(10,7), C(7,11) and T(1,5) are the vertices of a rectangle.b. Prove that this rectangle is not a square.

#### a. Prove that R(2,1), E(10,7), C(7,11) and T(1,5) are the vertices of a rectangle. b. Prove that this rectangle is not a square.

a. Prove that R(2,1), E(10,7), C(7,11) and T(1,5) are the vertices of a rectangle.b. Prove that this rectangle is not a square.

#### The vertices of Triangle MAT are A (–3, 1), M (3, 4), and T (–2, –1). Find the coordinate, H, that would turn triangle MAT into rectangle MATH. Prove that MATH is a rectangle

The vertices of Triangle MAT are A (–3, 1), M (3, 4), and T (–2, –1). Find the coordinate, H, that would turn triangle MAT into rectangle MATH. Prove that MATH is a rectangle

#### Prove that M(2,1), A(1,6), T(8,3) and H(5,4) are the vertices of a square.

Prove that M(2,1), A(1,6), T(8,3) and H(5,4) are the vertices of a square.

#### Given: B(3,6), A(6,0), T(9,9) and H(0,3) a. Prove that BATH is a parallelogram b. Prove that BATH is not a rhombus.

Given: B(3,6), A(6,0), T(9,9) and H(0,3)a. Prove that BATH is a parallelogramb. Prove that BATH is not a rhombus.

#### Given: Quad ABCD with vertices A(2,2), B(8,4), C(6,10) and D(4,4). State the coordinates of A'B'C'D', the image of quadrilateral ABCD under D½ . Prove that A'B'C'D' is a parallelogram.

Given: Quad ABCD with vertices A(2,2), B(8,4), C(6,10) and D(4,4). State the coordinates of A'B'C'D', the image of quadrilateral ABCD under D½ . Prove that A'B'C'D' is a parallelogram.

#### The vertices of JOHN are J(3,1), O(3,3), H(5,7) and N(1,5). Use coordinate geometry to prove that Quadrilateral JOHN is a parallelogram.

The vertices of JOHN are J(3,1), O(3,3), H(5,7) and N(1,5). Use coordinate geometry to prove that Quadrilateral JOHN is a parallelogram.

#### Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse of right ΔABC is equidistant from vertices A, B, and C.

Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse ofright ΔABC is equidistant from vertices A, B, and C.

#### Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse of right ΔABC is equidistant from vertices A, B, and C.

Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse ofright ΔABC is equidistant from vertices A, B, and C.

#### Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse of right ΔABC is equidistant from vertices A, B, and C.

Given: A(2a, 0), B(0, 2b) and C(0, 0). Prove that the midpoint of the hypotenuse ofright ΔABC is equidistant from vertices A, B, and C.

#### Proof A. B. C. and D.

3. Given: P(1, 2), Q(3, 1) and R(1, 4).a. Prove that ΔPQR is not equilateral.b. Find the midpoints of QP and QR and label them M and N respectively.c. Find the areas of ΔPQR and ΔMQN.d. What is...
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#### Given: A(8, 9), B(10, 3) and C(3, 4). a. Prove ABC is isosceles. b. Find M, the midpoint of AB. c. Prove CM AB.

Given: A(8, 9), B(10, 3) and C(3, 4).a. Prove ABC is isosceles.b. Find M, the midpoint of AB.c. Prove CM perp. to AB.

#### Given: R(1,1), S(9,4) and T(1,7). Prove that ΔRST is not a right triangle.

Given: R(1,1), S(9,4) and T(1,7). Prove that ΔRST is not a right triangle.may use the grid if need.

#### Proving / Properties of Chords with SSS

A. Given: In , radius bisects chord at point ∙Prove: B. Using , prove that , given that

12/20/20

#### Proof that a non-negative quadratic equation has at most one solution without using calculus

I'm working through Lax and Terrell's 'Calculus with Applications'. One of the first exercises is to work through the proof of the Cauchy-Schwarz inequality. I'm all good for my proof except for...
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12/17/20

#### Is the following a valid argument: B v C, C v D, ∴A→C ? Why or why not? (see description for full question)

Imagine that you have a set of sentences in QL named A, B, C, and D, and assume that A and B are tautologies, C is contingent, and D is a contradiction. Is the following a valid argument: B v C, C...
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#### Given:st||uv,st=vu Prove:stw=vuw

Statements
Reasons
1.
Given
2.
Given
3.
Alternate Interior Angles Thm.
∠SUT ≅ ∠WUV
4.
5.
AAS
SU ≅ WU
6.

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