Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5). Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5). Is ∆ABC similar to ∆HFK ? Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar? Determine whether ∆ABC and ∆HFK are similar.

Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5). Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5). Is ∆ABC similar to ∆HFK ? Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar? Determine whether ∆ABC and ∆HFK are similar.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 22E

See similar textbooks

Related questions

Q: Show that the points A = (1, 2), B = (1,0), and C = collinear and express P = (-7,0) in barycentric…

Q: Let g(x) = b,x² + bx + b,x + bg, x E R be a polynomium whose graph intersects the points (-2, 4),…

Q: A n+1 X3 B X1 X4 n+2

A: here we have an assumption that the total flow into the network is equal the total flow out of the…

Q: Use Lagrange multipliers to find the shortest distance from the point (2, 0, −6) to the plane x +…

A: Use Lagrange multipliers to find the shortest distance from the point (2, 0, −6) to the plane x + y…

Q: Show that three points P , Q, R are collinear (lie on a line)if and only if −→P Q × −→P R = 0.

A: Given: Show that three points P, Q, and R are collinear (lie on a line) if and only if PQ→×PR→=0

Q: Draw a figure that shows the image of the triangle with vertices (0, 0), (1, 0), and (1/2, 1) under…

A: It is given that the vertices of the triangle are 0, 0, 1, 0 and 12, 1. We have to sketch the graph…

Q: Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4),…

Q: Trapezoid PGRS with vertices P(-6, 2), G(-2 -0, R(-2 -3), and S(-6, -6), reflect in the linex-1 (4)…

A: We need to draw transformed image.

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: 1. Let F(x, y,z) = (x + y², y + z²,z + x²). Let C be the triangle with vertices (1,0,0), (0,1,0),…

A: Consider the provided question,

Q: c) Find the minimum distance from the point (4,0,6) to the plane x- y +2 = 3

A: The solution is given below. .

Q: S :R\{0} → R, S(r)=e4z^+5z=2–1

Q: Determine the Eq. of plane (M) pass through points A(0,2,0), B(1,1,1), C(-1,0,2)

Q: Use the chain-rule and find x and y in terms of x, x, and if:

Q: Find the lengths of the curves in Exercises 13–14. 13. y = x^1/2 - (1/3)x^3/2, 1<=x<= 4 14. x…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Use Green's Theorem to evaluate G³ï+xj)•dr around the perimeter of the rectangle 0<x<2,0<y<3.…

A: Given ∫C(y2i+xj).dr We know that dr = dxi+dyj Thus ∫C(y2i+xj).dr = ∫C(y2i+xj).(dxi+dyj) =…

Q: Show that F(z, y) = (ry, z°y?) is not path independent by considering the line segment from (0,0) to…

Q: graph the points z = x + iy that satisfy the given conditions. 5. |z + 1| = 1 6. |z + i |= |z - 1|

A: Hi there, at a time we can answer only one question at a time and the exact one was not specified.…

Q: 11. Given the coordinates X(0,0), Y(6,3) 0/4 and Z(2,1), find the ratio where point Z partitions the…

A: Use Section formula to solve this question. According to section formula: let coordinates of X is…

Q: Find the barycentric coordinates of p with respect to the affinely independent set of points that…

A: Given 11, 35, 06, p=23 let a=11, b=35, c=06, p=23 Now we write the points in augmented matrix form…

Q: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t

A: x=-2cos2t y=-2sin2t using trigonometric property, sin2t+cos2t=1

Q: Use Green's theorem to calculate where C is the rectangle with vertices (0, 0), (2, 0), (2, 3), (0,…

Q: lim (2,y)→(1,0) X + y – 1 Determine which of the following paths is not valid to check the existence…

Q: Consider the data: 0 1 2 3 4 f(x) -4 -3 -2 5 12 a) Applying the Composite Trapezoidal Rule with all…

Q: Determine whether the work done along the path C is positive, negative, or zero. y

A: The work done along the path C is

Q: Find t for the following terminal points: (a) P(0, 1), t = (0) P(-, ), t =| (c) P(-1,0), t = (d)…

Q: Find the number a such that the line x = a bisects thearea under the curve y = 1 / x 2 , 1<…

A: Our Aim is to find a number such that line x=a bisects the area under the curve y=1x2, 1≤x≤4.

Q: | the parametric equatioin for e line segment between a7) and (3,3)

Q: 2. Let C be the closed path constructed by joining the segment [-2, 2] on the real axis with y(t) =…

Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that xy1x1y11x2y21 =0 is the…

Q: Find the maximum value of f(r, y) = 10ry(4 – 8z - 4y) over the triangle with vertices (0, 0), (,0)…

Q: Draw a set of orthogonal 2d axes and illustrate the play that intersects at X=1/4, Y= 1 and Z=1/2…

A: Draw the axes and show the intercepts.

Q: The equation of the curve in the tx-plane which passes through the point (2,3), and has, at every…

A: In this question, slope of curve and point is given and we have to find out equation of cuve.

Q: Findauihtvectorhermat to thesuFace X Y +X2=1 et the Point (-1,1,1)

Q: 8. Check if the two lines given below are coplanar or not: x = 1+t, y =1+2t, z = 3 +t and a = 3 + s,…

A: We have to check weather the given lines are coplaner are not.

Q: Part (a) Evaluate 100e dz, where C is the polygonal path consisting of the line segments from z =…

Q: Consider the map Xn+1 = aX, (1 – X;;), %3D where a > 1. (i) Find the fixed points of the map. (ii)…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The Taylor…

Q: Use Green's Theorem to evaluate $. xydx + x²y³dy, where C is the triangle with vertices (0,0), (1,0)…

A: Consider the provided question, ∮cxydx+x2y3dy, where c is the triangle with vertices 0,0, 1,0…

Q: b) Identify all intercepts. (If än änswer đoes hot exist, (x, y) = ( 0,0 (. x-intercept %3D…

Q: find the linearization at x = a. y = e√x , a = 1

A: Given function: Using the formula of linearization:

Q: Consider the linearizable functions as follows. Find new transformed variables (rª, yª, Bor B as you…

Q: Find the general flow pattern of network shown in figure. Assuming that all flows are non-negative,…

Q: Prove that three points (x1, yl), (x2, y2) and (x3, y3) are collinear ( on the same straight line)…

Q: 8. Check if the two lines given below are coplanar or not: x = 1+t,y =1+ 2t, z = 3+t and x = 3+ s, y…

Q: AJKL has vertices J(1,-3), K(4, –3), and L(3,1). Reflect AJKL across the y-axis and then rotate it…

Q: 1. F = [2², -x², 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

A: As given that, F→=z2i^-x2j^+0k^ Calculating curl F,…

Q: 4. Show that the distance between the two points z1 and z2 in an Argand diagram is |z1 – z2). In…

A: (6) z-1=2 Given that:The points z=x+iy satisfies the condition z-1=2 The complex number z=x+iy…

Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

A: Given the points P(x,y,z) that satisfy the condition x=1.

Question

Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5). Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5). Is ∆ABC similar to ∆HFK ?

Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar?

Determine whether ∆ABC and ∆HFK are similar.

Expert Solution