Use the drawing provided for the proof of the theorem "The line segment that joins the midpoints of two sides of a trian- gle is parallel to the third side of the triangle." y C (2b, 2c) M A(0, 0) в (2а, 0)

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: A piece of decorative trim is added to an asymmetrical roofline so that it is parallel to the bottom…

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Q: 19. A perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to a…

A: See the Perpendicular Bisector theorem and its converse

Q: Exer. 17-18: Find the center and radius of the circle with the given equation. 17 x? + y? – 12y + 31…

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: True or False: All trapezoids have two pairs of sup- plementary angles.

A: Given :

Q: quation of a Perpendicular Bisector

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Q: 23: Find the shortest line from a point to a plane, justify your answer y calculations. int: you can…

A: The distance from P to plane, is simply the length of the projection of v onto the unit   normal…

Q: True or False: A trapezoid is a type of parallelogram.

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Q: Drag the triangle so that it is reflected over the y-axis 10 -5- -10 -5 10 -5- -10

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Q: Use a projection to derive a formula for the distance from a point (x,y) to the line ax+by=c, where…

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Q: Use the point to plane distance formula to find the distance between: (a) (4, 1, -2) and x = 1 + t,…

A: a Given     4,1,-2and x=1+t , y=3-t , z=4-3t   Now   1+ti+3-2tj+4-3tk   1i+ti+3j-2tj+4k-3tk…

Q: filaterals can you draw using the dots below as verti quadrilaterals possible in the previous…

A: *Answer:

Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

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Q: 2 -3 -2 2 3 Be The midpoint of AB = ([ ? ], [ ]) %3D

A: Midpoint of line segment with end points (x1,y1) and (x2,y2)is  x1+x22,y1+y22From graph endpoints of…

Q: Which is NOT a undefined term in Geometry? A. Axis B. Line C. Plane D. Point

A:

Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: Find the coordinates of the midpoint of HX 3 H 5- 2. 2- The coordinates of the midpoint of HX are…

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Q: Calculate the distance between the points N= (-1, -2) and G = (4, -8) in the coordinate plane. Give…

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Q: 09 Find the distance between the points (3,1) and (-3, 0)?

A: SINCE THERE ARE MULTIPLE QUESTIONS, WE WILL PROVIDE SOLUTION OF 1ST QUESTION ONLY.   The distance…

Q: True or False: A rectangle is always a parallelogram.

A: Explanation of the answer is as follows

Q: Using phytagorean theorem, derived the standard equation of a circle.

A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

Q: What are the coordinates of the midpoint of - segment AB for each set of endpoints? A(-3, 4), B( 1,…

A: Proceed as shown below

Q: The coordinates of quadrilateral MNOP are M (-1, -4), N (2, -2), O (5, -4), and P (2, -6). 10 8 2…

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Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: What kind of figure do you get if you join the midpoints of successivesides of a rhombus? Prove your…

A: We have give a rhombus. AB=BC=CD=AD P,Q,R and S are the mid point side AB, BC, CD and DA…

Q: Points P, Q, and R are located at (V17,104°,8), (/14,333.4°,36.7°), and (-1,2, 3), respectively. (i)…

A: Three points are given as, P = 17, 104°, 8, Q = 14, 333.4°, 36.7° and R = -1, 2, 3. The objective is…

Q: Find the distance between P and Q In the coordinates of the midpoint of the segment joining P and Q.…

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Q: Consider the figure shown on the coordinate plane. What are the coordinates of the midpoint of line…

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Q: Advanced Math prove that corresponding angles of two parallel lines and their intersection cannot be…

A: Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal…

Q: Write the postulate contrary to that of parallels that serves as the basis for hyperbolic geometry

A: We will solve this question using basic familiarity with hyperbolic geometry and Euclid's fifth…

Q: Find the value of x that makes the quadrilateral a parallelogram. *Show your work Show Your Work 6x…

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Q: A line segment has (xi, Vı) as one endpoint and (Xmi Ym) as its midpoint. Find the other endpoint…

A: Given that the endpoints of the line segments are (x1,y1) and (x2,y2). The midpoint of the line…

Q: Find the value of x that makes the quadrilateral a parallelogram. *Show your work Show Your Work 2x…

A: The opposite sides of a parallelogram are of equal length and parallel. We will make use of this…

Q: (c) Find the distance from the point (4, 22, 6) over to the xz-plane. (d) Find the distance from the…

A: c) To find the distance from point (4, 22, 6) to xz-plane. Here  x = 4, y = 22, z = 6.     Let us…

Q: Find the distance between the points (-1,1),(3,4).       (b) Find the midpoint of the segment…

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Q: ind the distance from the point to the plane ( 2,–3,4) x + 2 y – 2 z = 13

A: To find : Distance from the point (2,-3,4) to the plane x+2y-2z=13   formula for distance from point…

Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is…

A:

Q: Calculate the distance between the points L= (8, 0) and K=(1, -4) in the coordinate plane. Give an…

A: we know that distance formula between two points…

Q: In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is…

A: (b) In geometry, an equilateral triangle is a triangle in which all three sides have the same…

Q: A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to…

A: Ocean to building =420 ft Ocean to new building =180ft Height of new building=15ft

Q: theorem in Projective Geometry implies that give y hexagon circumscribed about a circle, the lines…

A: In this point, concept of Duality is applied. Duality In mathematics, the principle of obtaining one…

Q: Quadrilateral JOSH has points J(2,8) O (5,10) S( 4,4) H ( 7,6): (x,y) -- (x +2, y- 5)ldentify the…

A: Given ,  Quadrilateral JOSH has points J(2 , 8) ; O(5 , 10) ; S(4 , 4) ; H(7 , 6)  (x , y) → (x + 2…

Q: 9. Using analytic geometry, find the coordinates of the point on the x axis which is equidistant…

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Q: You can prove the type of quadrilateral using MIDPOINTS, SLOPES, and DISTANCES Find the distance of…

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Q: 1. A segment has a midpoint located at (-2, –3) and an endpoint located at (-7, 2). What are the…

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Q: Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is…

A: