4. A triangle plotted in the coordinate plane has vertices at (2,3), following is closest to its area? •3) and (4, 8) . Which of the (1) 4.68 (3) 7.12| (2) 5.93 (4) 8.76

Q: Find the perimeter of a pentagon with vertices M (-1,6), N (3, 6), P (6, 4), Q (6, 1) and R (4, 4).…

A: To find the perimeter of the pentagon

Q: U. In triangle DEF, mzD=31° and an exterior Dangle at vertex F has a measure of q6°. What is mzE?

A: In triangle DEF, m∠D=31° and an exterior angle at vertex F has a measure of 96°

Q: What is the area of the right triangle with vertices at P(4,3 6), Q(-2. 0, 8) and R(1, 5, 0) ? O…

A:

Q: Select ALL of the images that are a possible cross section of a cylinder? None of these are possible…

A: We know, the cross section of a cylinder is a circle.

Q: Find the area of a triangle formed by the points (8, – 5), – 7) and (5, 1) by using Herones formula…

A:

Q: In trapezoid ABCD (not shown), mZA = * + 50, and mZC = + 10, + 50. Find all possible mZB values of…

A:

Q: 3. Consider any five points P1,..., Pn in the interior of a square S of side length 1. Find the…

A: Given: Any five points P1, P2, ..., Pn in the interior of a square S of side length 1. To find: The…

Q: A particle travels along a path from (0, 0) to (3, 4). What is thedisplacement? Can the distance…

A: Given- A particle travels along a path from (0, 0) to (3, 4). To find- The displacement and check if…

Q: What additional information is needed to prove the triangles similar by the SAS-Criterion?

A: What additional information is needed to prove the triangles similar by the SAS-Criterion?

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

A: The triangle OPQ formed by the three points P (3, 3, 0), Q (0, 3, 3) and origin O (0, 0, 0) is shown…

Q: Show that the points form the vertices of the polygon. right triangle: (0, 8), (4, 10), (6, 6)…

A:

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: In circle P with mZNPQ = 90, find the mZN RQ. R

A: Given:   In the figure,∠NPQ=90∘

Q: 7. ) How many points must you place in a square with the dimension of 3cm by 3cm to guarantee that…

A: Given: Square with dimension 3 cm × 3 cm To find: How many points must be placed in a square to…

Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

A:

Q: In circle P with mZN RQ = 23, find the MZNPQ. R Q N

A: We have to find the angle

Q: If there are 7 distinct points on a plane with no three of which are collinear, how many different…

A: The number of ways r items can be selected from n distinct items is equal to Cn, r. The formula for…

Q: Manesh and Jillian are demonstrating that circle A with center (0, 0) and a radius of 2 is similar…

A: Here, the situation is described as below: where A(-1,-3), B(-1,3) & C(1,3)

Q: 23. Find the area of the triangle having vertices at (0, 2, 2). (8., 8, -2), and (9. 12. 6).

A:

Q: 2. Find the diameter of the given circle. 1- -6 -5 -4-3 -2 -1 0 1 3 --1- --2 -3 -4 -5- -6- --7 10 O…

A: We know that  D^2 = x^2+y^2+z^2+w^2  Where D is the diameter of the circle.

Q: Find the area of the triangle with vertices P(1,5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the…

A:

Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

A:

Q: 7. Escher was an artist who accidentally incorporated non-Euclidian geometry into his work. True or…

A: THE STATEMENT IS ABSOLUTELY TRUE M C ESCHER WAS A DUTCH ARTIST AND HE MANAGED TO REPRESENT MANY…

Q: Label the special right triangles with the correct "n" rules. 30 45

A: In the first triangle, we haveThe angle, θ=45°And in the second triangle, we haveThe angle, θ=30°And…

Q: Draw two noncongruent triangles in which each has the area of 8 units?. Moreover, all base and…

A: Given: To draw two noncongruent triangles with an area of 8 units2   Formula : Area of the…

Q: 1) How many triangles can be drawn on a plane using 8 non-collinear points?

A:

Q: The triangle that has vertices at M(-4, 0), N(3, –1), and Q(2, 4) has been boxed in, as shown. Find…

A: Given the vertices of  the triangle M(-4,0) , N(3,-1) and Q(2,4). We need to find the area of…

Q: sides of length a and the smaller square has sides of length b. What is the area of the shaded…

A:

Q: What is the area of the figure with the vertices (1,4) (4,8) (8,5) (5,1)

A:

Q: Find the area of the triangle with vertices P(4,10,7), Q(−1,4,1) and Q(3,7,2).

A:

Q: What additional information is needed to prove that the triangles are similar by SAS-? * 12 8. 18 12

A:

Q: 6. After the side JK is extended, what is the next step in constructing the orthocenter in AJKL? K

A: After the side JK is extended next step is:-

Q: 2. Find the area of the triangle formed by the following points: (2, −3, 5), (1, 0, 10) and (6, 1,…

A:

Q: Find the radius of this circle. 5- 4- 3 2 -6 -5 -4 -3 -2 -1 0 -1 -8 -7 O 6V5 O 3/2 O 2/2 O V2

A: Basics of Geometry are used.

Q: 6. For how many values of n will a regular n-sided polygon have interior angles with integral degree…

A: For an n-sided regular polygon, the sum of interior angles is n-2×180 In a regular polygon, all the…

Q: 2. Find the midpoint of Segment AB, where Point A is at (-5,1) and Point B is at (15,8). O (5, 3.5)…

A: Mid point of a line segment is a point which is equidistant from the two endpoints of the line…

Q: I, 7y? da, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

A: Integral

Q: 11. Find the area of the triangle with vertices (0,0,0), (2,2, 1), and (1,0,3).

A: This question is belongs to vector. In which we have to create two vector from given point, and then…

Q: 2. How many triangles can you make using 7 non-collinear points on a plane?

A:

Q: 2. For rectangle PLNE, MLPLE = 5x + 2 and mzNLE = 3x. Determine the value of x, mzPLE, and mNLE. %3D…

A:

Q: A directed segment  QR¯¯¯¯¯QR¯ with endpoints at  Q (2, 1)Q (2, 1) and  R (8, 13)R (8, 13) is…

A:

Q: 1. Select rectangular prism that have t shape and dimensions as the section indicated. the faces th

A:

Q: A(0, 4), B(3, 5), C(-1,4)

A: We can find the area of triangle by applying the area law of triangles.

Q: 1. PQRST is a pentagon inscribed in a circle. If ZRPS = 30°,ZQSR = 32°,4PQS = 68° and SR = TS, find…

A: Angle of pentagon

Q: 5. For regular polygons inscribed in a circle of radius 1, use S6 :1 to conclude that S12 = V2 – V3,…

A: We know for regular polygons in a circle of radius 1 we have S2n=2-4-Sn2Given: S6=1

Q: 5. Find the diameter of this circle. 1. 4 5 8 9 -1 0 1 -1- -2 -3 -5 -6 -7- O 2/10 O 2v34 2. 4.

A: The solution of the problem is given in the next step.

Q: Find the area of a triangle with vertices O(1, 1, 1), P(4, 3, 2), and Q(2, 1, 0).

A:

Q: These figures are congruent. What is mZN?

A: We have the given figure as  it is given that both figures are congruent We have to find the…

Q: Suppose a triangle with the vertices (–1, 4), (–1, –2), and (2, –2) were dilated, with the center of…

A: Given  The triangle with the vertices (–1, 4), (–1, –2), and (2, –2) . Scale factor is 2 Dilation is…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.