The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found? Use the distance formula to find the length of each side, and then add the lengths. Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel. Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular. Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Q: In addition to being able to show that the lines are parallel using their only a writing tool,…

A: parallel line never intersect each other

Q: Find the midpoint of the segment with the following endpoints. (2, –4) and (6, –10)

A: The midpoint of a segment having endpoints (x1,y1) and (x2,y2) is: x=x1+x22              y=y1+y22…

Q: The diagonals of a parallelogram are 14 meters and 16 meters and intersect at an angle of 60°. Find…

A: Given the diagonals of a parallelogram are 14 m and 16 m. Diagonals intersect at an angle of 60°.

Q: Find the values of a and b that would make the quadrilateral a parallelogram. Just type the numbers…

A:

Q: Find the slope of the line that passes through each pair of points. (Hint: Use the formula (0, 1)…

A:

Q: What is the perimeter of the parallelogram?

A: Please refer the attached image for complete solution.

Q: If the line containing the points (a,5) and (7,14) is parallel to another line with slope 3, find a.…

A: Let the equation of the line passing the points (a,5) and (7,14)  be;

Q: By Arc method, find the perpendicular offset of the line if the bisected distance is 3.20m and its…

A: According to question given thatBisected distance (x)=3.2mRadius (R)=8.5 m

Q: find the midpoint of the line segment with the given endpoints.

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: Find the slope of a line parallel to each given line y=3/4x+7

A: We know that equation of line in slope-intercept form is y=mx+c, where m is slope of line.By…

Q: If the length of one side of an equilateral triangle is 2a, find the lengthof an altitude.

A: Given:  Length of one side of an equilateral triangle is 2a. To find: the length of its altitude.

Q: Find the slope of the ramp pictured below. 12 feet 100 feet

A: According to question We have to calculate the slope of the ramp

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

A: Parallelogram

Q: The slant height should be used when finding the perimeter of a parallelogram. O True O False

A:

Q: What is the length of each horizontal​ segment?

A: Solution:- Both vertical lines are parallel and distance between them is constant throughout.…

Q: Find the slope of the other line, if the angle between two lines is 30o and slope of one of the…

A:

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: Find the midpoint of each line segment with the given endpoints. (2, 6) and (-12, 4)

A:

Q: Find the slope of the given line, if it is defined. (If an answer is undefined, enter UNDEFINED.)…

A: Given equation of line is,

Q: . A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of…

A: consider the scenario of given situation in diagram:

Q: Find the exact length of the orve

A: The given curve y=14x2-12lnx; 1≤x≤6

Q: Find the slope of a line perpendicular to each given line. 7) y = 5x + 5 %3D

A: Given: y = 5x +5  To find: The slope of the line perpendicular to the given line.

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: Find the distance between the following points : (1,-3) and (5,-6)

A:

Q: Find the slope of the line through each pair of points

A: Find the slope of the line through each pair of points 13,-3,-2,11slope of a line joining points…

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: Find the slope of the other line, if the angle between two lines is 60 o and slope of one of the…

A:

Q: Find the measurement of the sides of parallelogram BCDE. Sx- 1

A: A parallelogram is a type of polygon having four sides (also called quadrilateral), where the pair…

Q: As a construction manager, you are asked to build a new road, which will be a perpendicular angle…

A: Given points , A(5,2) and B(1,3)

Q: Given the two endpoints of a line segment, find the equation of the perpendicular bisector of the…

A: Consider the end points of the segment. C≡4,3D≡10,-7 Find the mid-point of the line segment.…

Q: A line that divides two sides of a triangle proportionally is:

A: We have find the correct option.

Q: If PR and SU are parallel lines and mLSTV = 137°, what is mUTQ?

A: In figure,∠STV≅∠UTQ.......(Vertically opposite angles)m∠STV=137°......(given)Therefore,m∠UTQ=137°

Q: Use the distance formula, slopes and your knowledge of characteristics of different types of…

A:

Q: How would you use the distance formula to show that a parallelogram is a rectangle?

A: In case of parallelogram ABCD given below, It can be proven using distance formula that, AB=CD and…

Q: If the slope of the line through (-k, 3) and (5, -k) is 1, find the value of k

A:

Q: Determine if the quadrilateral is a parallelogram using the SLOPE FORMULA. K(2, 7), L(6, 12), M(13,…

A:

Q: If the vertical height of the roller coaster below is 315 feet, find d to the nearest foot.

A: Given : The vertical height of the roller coaster is 315 feet.   To find d.

Q: Find the distance between the given points. (- 3, 1) and (9, 6)

A: We have to find the distance between two points which we can find using distance formula which is…

Q: Determine whether the lines with the given slopes are parallel, perpendicular, or niether.  first…

A: Result used:Suppose m1 is the slope of one line and m2 is the slope of the other, then if m1 = m2,…

Q: Find the midpoint of the line segment with the given endpoints.

A: Let midpoint of the line segment be M.

Q: (3,1) and (w,9); 8 Slope = - 3.

A: The given slope -83. Let the points x1,y1=3,1 and x2,y2=w,9. Formula for the slope m=y2-y1x2-x1.…

Q: The line joining the midpoints of the nonparallel sides of a trapezoid is parallel to and one- half…

A:

Q: Find the slope of sides AB and CD

A:

Q: Calculate the slope of a line that passes through the origin, and the mid point of the segment…

A: We need to find the slope of line passing through the origin and the midpoint of segment joining…

Q: Find the midpoint of each line segment with the given endpoints (√18, -4) and (√2, 4)

A: We have to find midpoint of line segment where end points are given as: 18, -4 and 2, 4. We know the…

Q: Find the slope of each side of quadrilateral EFGH. Then determine whether the quadrilateral is a…

A:

Q: as the measure of a slope angle increaces, what happens to the slope ratio

A: Slope is the tan of the measure of angle

Q: A hiker climbs for a half mile up a slope whose inclination is 17°. How many feet of altitude, to…

A: To find: The length of altitude that hiker gain. Formula used: Trigonometric ratio: sin α=ph Here, p…