Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then construct an equilateral triangle with one vertex oneach of the three lines.

Q: The distance between the points A = (-3, –2) and B = (3,3) is,

A:

Q: 2) What is the length of the line segment that has endpoints at (-5,3) and (4,5)?

A: The end points of the line segment are : x1,y1 = -5,3 x2,y2 = 4,5 To evaluate : The length of the…

Q: Use drawings as needed to answer the given question

A: Given: a) parallel b) nonparallel

Q: How many lines of symmetry does this shape have?

A: The lines of symmetry for the shape is

Q: Verify that the points (7, 12) and (11, 18) divide the line segment joining (3, 6) and (15, 24) into…

A: Given points are x1,y1=3,6x2,y2=7,12x3,y3=11,18x4,y4=15,24

Q: In the five-point geometry, each point has exactly four lines on it. How do I prove this statement?

A: Answer is mentioned below

Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0,0),(1,3)…

A: Let the given quadrilateral be ABCD The vertices of the given quadrilateral are…

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

A: The given diagram is, Since, ∆ABC is equilateral triangle. AB=BC=AC. ⇒AB2=BC2=AC2 Suppose point A…

Q: Draw a quadrilateral that is not a parallelogram but that has one pair ofcongruent sides and one…

A: We know that, an isosceles trapezium has one pair of opposite sides equal to each other and the…

Q: (i) Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

A:

Q: Draw all of the lines of symmetry on the shape.

A: The line of the fold is the line of symmetry. Figures or shapes that have exact resemblance to its…

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

A:

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: Three different parallelograms have vertices at (-1, 1), (2, 0), and (2, 3). Sketch them and find…

A:

Q: The line joining the midpoint of a triangle is.......to the third side and equal to........the…

A: The line joining the midpoint of a triangle is parallel to the third side.

Q: Choose two figures which are topologically equivalent to each other 25

A: Solution :-

Q: Use slopes to show that the quadrilateral whose vertices are (1, - 1), (4, 1),   (2, 2), and (5, 4)…

A: Formula used: The slope of a line passing through the points x1,y1,x2,y2 is given by  m=y2-y1x2-x1.

Q: 3. D(-5, -6), E(5, 2), F(4, -4), G(-6, -12) (Distance & Slope Formulas)

A: Parallelogram

Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

A:

Q: The coordinates of the circumcentre of the triangle ABC are (8,3) , if the coordinates of the…

A: To Determine: find the values of x and y. Given: We have the coordinates of the circumcentre of the…

Q: Prove: In the five-point geometry, each point has exactly four lines on it.

A:

Q: Construct a perpendicular bisector of the hypotenuse of a right triangle.

A: Given: Construct a perpendicular bisector of the hypotenuse of a right triangle.

Q: Find the value of x that makes the quadrilateral a parallelogram. 2x + 3 x + 7

A: I have given an answer in step 2.

Q: Determine graphically, the vertices of the triangle formed by the lines y =3,    x = 3y, and x + y =…

A:

Q: Show that a quadrilateral is a parallelogram if one pair of its opposite sides are equal and…

A: Consider a quadrilateral whose one pair of its opposite sides are equal and parallel.

Q: Find the midpoint of the line segment PQ. Р(9, —4); Q(-3, —4) (х, у) %3D

A: Solve the following

Q: How many lines of symmetry are in this figure?

A: There are 6 lines of symmetry are in this figure.

Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

A:

Q: Verify that the points (0, 3), (2, -3), and (-4, -5) are vertices of an isosceles triangle.

A: Length of the side joining the points (0, 3) and (2, -3) is: l1=0-22+3+32=4+36=40=210 Length of the…

Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0, 0), (1,…

A:

Q: -20 -10 -20- 10- --10- -20- -30- (0, -16) 10 20

A: The distance between the points x1,y1 and x2,y2 is given by the distance formula: (x2-x1)2+(y2-y1)2…

Q: What two points can be drawn between a line segment?

A: Yes two point can be drawn between lime segment

Q: Find the distance from point A = (4, 7, 9) to the following line:

A:

Q: A parallelogram has line symmetry and either diagonal is an axis of symmetry.

A: Statement - A parallelogram has line symmetry and either diagonal is an axis symmetry.   Consider a…

Q: For a four-point geometry, how many other lines of the geometry are parallel to each line?

A:

Q: 3 -2-1 -2 -3 -4 -5 -6V How can we

A:

Q: Given the two points P1 (2,-3,4) and P2(-1,5,-2) on a line, find the line segment joining those…

A:

Q: how many lines of symmetry is in these figures?

A: A line of symmetry is a line that cuts the given shape into 2 equal halves. It basically means that…

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: Graph the image of parallelogram STUV after a reflection across the line y = x. 10 8 21 -10 -8 -1 -4…

A: Graph of the parallelogram is given, it is reflect about the line y=x

Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

A: Let the line be L1 and L2 having points (x1 ,y1 ) and (x2 ,y2 ) and locus of the geometric place of…

Q: How many lines of symmetry is in the figure?

A: Given:

Q: The three cevians in ΔABC are concurrent. What does concurrent mean with respect to lines?

A: Given that: Three cevians in ΔABC are concurrent.

Q: If the diagonals of a quadrilateral meet in a right angle, then the quadrilateral is best described…

A: The diagonals of a parallelogram does not always meet at 90 degrees

Q: What is the area of the triangle formed by the lines y=-2x+6, y=-2, and x=0

A: Find the solution below

Q: plot the points (5, 3) and (2, -3) in the coordinate plane and find the lengths of the three…

A: GIVEN DATA : Points 5,3 2,-3        TO FIND: Plot the points and find the length of three segments…