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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Let P = (0,0, 0), Q = (1, –1, –2), R = (2,1, 1). Find the area of the triangle PQR. area = Let T =…

Q: Suppose , t2, ., , are linearly independent. Prove that S is linearly independent where (a) S=…

Q: Consider the simple linear model Y; = Bo + B1Xi + €¿, where e~N(0,0²); i = 1,2, .. 1. Show that a)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…

Q: 4. For what value of h is vz in Span {v, v2} and for what value of h is {v1, V2, V3} linearly…

A: v1=1-32, v2=-39-6 and v3=5-7h

Q: Consider the path r(t) = (4t,2t 2 ,2lnt) defined for t > 0. Find the length of the curve between the…

A: Given the path r(t) = (4t, 2t2, 2ln t), t>0. Find the length of the curve (4, 2, 0) and (20, 50,…

Q: Evaluate e fry²dæ + x³dy, where C' is the rectangle with vertices (0,0), (4,0), (4,2), and (0,2)

A: We apply the green's theorem to solve the given problem.

Q: Let R denote the rectangle with corners (−1, −2), (4, −2), (4,1), and (-1,1), and let P denote the…

Q: Use LaGrange multipliers to find the points on the surface 2² = x² + y² which are closest to (4, 2,…

A: Given surface z2=x2+y2 and the point (4,2,0). The objective is to find the points on the surface…

Q: Parallelogram JKLM has vertices J (0,0), K(2,2), L(x,y), and M (5,0). Find (x,y).

A: Given vertices of parallelogram are J(0,0),K(2,2),L(x,y),M(5,,0)

Q: A bird takes exactly two minutes to fly linearly from P(3,8,4) to Q(7,4,-3). Assuming that the bird…

Q: The vertices of AJKL are J(-3, 4), K(3, 0), and L(-5, -4). The equation of the median JLis y = 0.…

Q: The matrix A = " 1 0 0 2 # is a linear map from R 2 to R 2 . Draw the modified shape of the circle x…

A: The matrix A=1002 is a linear map from ℝ2 to ℝ2 . To Draw: The modified shape of the circle x2+y2=1…

Q: Use Green's theorem to find $ x? ydr + xdy over a counterclockwise triangular path passing though…

A: To find the line integral ∮x2ydx+xdy by using Green's theorem, First, we need to draw the given…

Q: Let E be the solid parallekepiped with vertices Co,0,o).(LLO).co,l,3),(1,0,). C1,2,3),Cし,4).(2,1,1)…

A: Here, vertices are given in 3D. So, for taking limits of X and Y, we'll look for the projection of…

Q: Let c denote an arbitrary constant. Determine the orthogonal trajectory of x+xIn(y) =c that passes…

Q: A point moves so that sum of the squares of its distances from the vertices of a triangle is always…

Q: Suppose W1 = span(v1, v2, v3, v4), W2 = span(v1, v2, v3, v5), W3 = span(v1, v2, v3, v4, v5) and…

A: Given: Suppose W1 = span(v1, v2, v3, v4), W2 = span(v1, v2, v3, v5), W3 = span(v1, v2, v3, v4, v5)…

Q: Find the matrin of linear 2 22

A: The domain of the given transformation is R3: To find the matrix of the linear transformation,…

Q: Calculate / Ss (4xy + e- )dS, where S is the triangle in Figure 1 with vertices (0, 0, 3), (1,0, 2)…

Q: For the s,t-network with capacities and flows as shown below. What is the value of the s,t-cut A(X,…

A: Given: The given s,t network with Capacity and flow diagram is,

Q: 2. Let E denote the parallelepiped with corners (0, 0, 0), (1, 2, 1), (2,3,0), (-1,0, 1), (3, 5, 1),…

A: According to question,Given Corners of parallelopiped,x1, y1, z1 = 0, 0, 0,x2, y2, z2 = 1, 2, 1,x3,…

Q: - 3 - 2 Let y = u2 = Find the distance from y to the plane in R' spanned by u, and u2. - 6 u = - 5 1…

Q: 4.)It is known that the plane α passes through the point (2, 1, 3) and contains the line g with the…

Q: 25. Let A = (2, 3, 5) and B = {x, y}. Let p, and p, be the projections of A x B onto the first and…

A: Given that A={2,3,5} and B={x,y} Also given that p1 is the projection of A×B onto the first…

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

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Let C be a piecewise curve consists of the following four line segments. First linesegment has vertices (0, 0) and (2, 0); the second segment has vertices (2, 0) and(2, 1); the third line segment has vertices (2, 1) and (0, 3); and the fourth linesegment has vertices (0, 3) and (0, 0). C is oriented counterclockwise. LetF(x, y) = ⟨x^2 − 2y, 2x⟩ be a vector field.(a) Sketch C accurately including the orientation.(b) Find the work done by F by moving a particle along the path C in the givendirection. Simplify your answer.
T:R3⟶R3 with T(v1,v2,v3)=(v1+v2,v2+v3,v3). Find the a. image of v=(−2,1,2) b. pre-image of w=(0,1,2)
3,4 Oshoo Hhat the inrtegsal (Ky°+yJdx + Independent of the path joining the peints (1,2)and(3,4). Hene evaluate the integsal.
Let P be the parallelogram in the plane with vertices (0,0), (1,2), (1, 1), and (2, 3). Find [[pr dA. (The easiest way is to use a change of variables which turns P into a square.)
△ABC has vertices A(0, 0), B(2, 4), and MC(4, 2). △RST has vertices R(0, 3), S(-1, 5), and T(-2, 4). Prove that △ABC is similar to △RST.