Suppose you are given a line l and a triangle AABC such that A, B, and C do not lie on l. Prove that l does not intersect all three sides of AABC.

Q: 2. In a quadrilateral ABCD, ZA = 72° and 2C is the supplementary of ZA. The other two angles are…

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Q: Consider the 3-point geometry and the following statements: A. In the the 3-point geometry, two…

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Q: Lines m, n, and p, are the perpendicular biesectors of the sides of triangle ABC. Select all true…

A: Given,

Q: ABCD is a rhombus. If m<ABD = 47o , find m<BAC

A: Given,  ABCD is a rhombus.  m∠ABD = 47°  We have to find  m∠BAC.

Q: 3. In quadrilateral LMNO, the points G, H, I, and J are midpoints. LN = 28 cm and MO = 16 cm. a.…

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Q: Prop. 43: For every parallelogram, the complements of the parallelograms about the diameter are…

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Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: Construct the perpendicular bisector of AB. A B

A: Take a compass and draw a random curve above line AB by fixing sharpen part of compass at the point…

Q: Select all the statements that would show that quadrilateral ABCD on the coordinate plane is a…

A: Parallelogram property

Q: 2. In every Pythagorean triangle, prove that at least one of the sides is divisible by 5.

A: The given problem is to prove that in the Pythagorean triangle there is atleast one of the sides is…

Q: Triangle ABC has vertices with A(x,3), B(-3,-1), and C(-1,-4). Determine and state a value ofx that…

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Q: Prove that if two intersecting lines form one right angle, then they form four right angles.

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Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: Prove that the line joining the midpoints of opposite sides of a quadrilateral and the line joining…

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Q: 1. State and prove the full version of the Pythagorean Theorem

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Q: 13-14. In AMAK, mzK = 44 and mzK > mLA. Which is the smallest side of the triangle?

A: Given: m∠K=44° and m∠K&gt;m∠A

Q: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: A cyclic quadrilateral ABCD is inscribed in a circle whose sides AB-10cm, BC-20cm, CD-30cm and…

A: By Ptolemy's theorem,  We know that, in a cyclic quadrilateral, the sum of product of the two pairs…

Q: Is the following shape a rectangle? How do you know? D H A B A. There is not enough information to…

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Q: AJAM is a right triangle. a. Is JM an altitude of AJAM? b. Name another altitude shown. c. In what…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Prove that Lambert and Saccheri quadrilaterals are parallelograms.

A: SACCHERI QUADRILATERAL: A quadrilateral which has two equal sides which are perpendicular to its…

Q: D с B

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Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

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Q: what is the length of segment AB with points A(2,4) and B(3,6).  Use √ if necessary.

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Q: 4. a) Show that the points P(2,5,1), Q(4,6,3), R(-1,-5,2) and S(-3,-7,0) create a parallelogram b)…

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Q: 6. If the area of the triangle ABCA with vertices A(-5,0), B(x,2), and C(3, –4) is 8 square units,…

A: Given :A(-5,0)B(x,2)C(3,-4)Area= 8 square units