233 Answered Questions for the topic Proofs
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.
Proofs
12/03/20
Honors Geometry
Given angle 1 and angle 2 are supplementary. Prove is that are parallel.Write a 2 column proof
Given: line AC bisects angle BAD. Line AC bisects angle BCD. Prove: Angle B is congruent to Angle B
I need the proofs and reasons.
Proofs Discrete Math
11/18/20
Help with proving modulus, please.
Prove that (x mod 2)(y mod 2) = (xy) mod 2.Hi, I would really appreciate if anyone can help me on this question. It is really difficult asking questions during online class. Thank you.
Proofs Contradiction
11/14/20
Proof by contradiction
For all x, y, z ∈ Z. At least one of x−y , x−z and y−z is even.
Proofs Geometry
11/12/20
given: m||n ; j||k prove: m∠1+m∠4=180
STATEMENTSm || n ; j || k
∠1 ≅ ∠2
∠3 ≅ ∠4
m∠1 = m∠2 ; m∠3 = m∠4
m∠2 + m∠3 = 180
m∠1 + m∠4 = 180
Proofs Geometry
11/05/20
PLEASE HELP ME ASAP. COULD HELP ME PLEASE?
Prove two triangle congruent using a two column proof:Given:AC is angle bisector of ∠BCD. m∠B = m∠D. Prove: ΔABC ≅ ΔADCStatements:-----
AC is angle bisector of angle BCD
angle 3 = angle 4
angle b =...
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10/27/20
Use congruences to prove that the divisibility test 5 works.
Divisibility rule for 5: Let a be any integer, 5 divides a if and only if the last digit of a is 0 or 5.
Converse of a statment
Hello,I really struggle with these types of problem, could you tell me if this is correct.If, x+3 = 10/x ⇒ x = 2What is the converse of this statement?Is the original statement true? Also is the...
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Proofs Geometry
10/14/20
Given: <1 and <2 are complementary. <3 and <4 and complementary. Prove: <2 is congruent to <4 and <1 is congruent to <3.
Proofs Linear Algebra
10/08/20
Order 8 of the following sentences so that they form a direct proof of the statement: 𝐴 is a square matrix. Prove that if 𝐴2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.
Order 8 of the following sentences so that they form a direct proof of the statement:A is a square matrix. Prove that if , then either or is singular.Options:
Let A be an m×n matrix.
Assume...
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Proofs Linear Algebra
10/08/20
Order 6 of the following sentences so that they form a proof by CONTRAPOSITIVE of the statement: 𝐴 is a square matrix. Prove that if 𝐴^2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.
Order 6 of the following sentences so that they form a proof by CONTRAPOSITIVE of the statement: 𝐴 is a square matrix. Prove that if , then either or is singular.Options:
Let A be an m×n...
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