math

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

  1. 👍 0
  2. 👎 0
  3. 👁 216
  1. A: Use the distance formula to find lengths PQ and P'Q'
    The scale factor is P'Q' / PQ

    B: (x,y) → (-x,y)

    C: Unless the scale factor from (A) is 1, the two are not congruent, since reflection does not change any side lengths.

    1. 👍 1
    2. 👎 0
    👨‍🏫
    oobleck
  2. oops. For (A), you need to check all three sides. to be sure the ratios are all the same. It might be easier just to make sure that the coordinates have a common ratio.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    oobleck

Respond to this Question

First Name

Your Response

Similar Questions

  1. 8th Grade Pre-Algebra

    Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). Plot triangles PQR and P'Q'R' on your own

  2. Maths

    IN TRIANGLE PQR, PQ=QR -=RP =7CM FIND EACH ANGLE OF TRIANGLE PQR

  3. Math

    Triangle ABC has vertices A (-4,-2), B (-1,3), and C (5,0). Triangle ABC is rotated 180 degrees counterclockwise about the origin to form triangle A'B'C'. a. what are the coordinates of the vertices of triangle A'B'C'? b. How

  4. Math III

    Which of the following statements are true? a. the incenter of a triangle is equidistant from all three vertices of that triangle b. The incenter of a triangle always lies inside that triangle c. the incenter of a triangle is the

  1. Geometry

    Determine whether triangle PQR is congruent to triangle STU given the coordinates of the vertices. Explain your conclusion. coordinates of triangle PQR P(0,3) Q(0,-1) R(-2,-1) S(1,2) T(1,-2) U(-1,-2)

  2. Math HELP

    #1 find the value of x if RS = 4(x-3)+6 and RT = 5(2x-6). x= 12 x= 6 x= 4*** x= 3 #2 which of the following statements are always true? Choose all that apply. If the circumcenter of a triangle lies on the triangle, then the

  3. Geometry

    The vertices of a triangle are P(-3,8), Q(-6, -4), and R (1, 1). Name the vertices of R (smaller letters)y-0 (triangle PQR). A. P'(-3, 8), Q'(-6,-4), R'(1,1) B. P'(-3,-8), Q'(-6,4), R'(1,-1) C. P'(3,-8), Q'(6,4), R'(-1,-1) D. P'

  4. Math

    The ratio of the perimeter of triangle PQR to the perimeter of rectangle ABCD is 5 : 9. All in centimeters Triangle (sides) PQ: (x-3) PR: (3x-5) QR: (4x+3) Rectangle (sides) AB: (2x+2) BC: (4x - 1/2) [AB is longer than BC] a.

  1. Geometry

    Determine whether triangle DEF is congruent to triangle PQR given the coordinates of the vertices. Explain. D(-6,1) E(1,2) F(-1,-4) P(0,5) Q(7,6) R(5,0)

  2. calculus

    P /|\ / | \ / | \ on this side there is an / | \ arc with A(θ) in the / | \ middle. the B(θ) /θ | B(θ)\ triangle is not equal O -------------- R to the θ triangle. Q the figure shows a setor of a circle with central angle

  3. geometry

    if triangle FGH~ to Triangle PQR, FG = 6, PQ = 10 and the perimeter of trinagle PQR is 35 find the perimeter of triangle FGH

  4. Math

    given that triangle PQR is similar to triangle STU and that corresponding sides PQ=4cm and ST=6cm. The area of STU is 12cm squared. state the area of PQR

You can view more similar questions or ask a new question.