math

Triangle ABC undergoes a series of transformations to result in triangle DEF.

Is triangle DEF congruent to triangle ABC ?

Is it Congruent or Not congruent?

1.)) Triangle ABC is translated 3 units up and 5 units right, and then dilated by a scale factor of 4 to form triangle DEF.
(congruent or NOT congruent)

2.)) Triangle ABC is reflected over the x-axis, and then translated 6 units down and 6 units left to form triangle DEF.
(congruent or NOT congruent)

3.)) Triangle ABC is rotated 180°, and then reflected over the line y=x to form triangle DEF.
(congruent or NOT congruent)

I personally think the first 2 are congruent, and the 3rd is not, but I am not completely sure.

  1. 👍 0
  2. 👎 0
  3. 👁 1,929
  1. Congruent means same size same shape...
    Is 1) still the same SIZE when you do a dilation of scale factor 4...

    1. 👍 1
    2. 👎 0
  2. I don't think it stays the same size.

    1. 👍 0
    2. 👎 0
  3. I'm not sure about these, they are kind of hard for me to understand. But I think the size wouldn't stay the same.

    1. 👍 0
    2. 👎 0
  4. So #1 is NOT congruent : )

    1. 👍 0
    2. 👎 0
  5. #2 is correct : )
    #3... the shape is changed if a dilation is done. A slide, flip or turn does not change the shape (just the orientation of the object).
    So what do you think about 3?

    1. 👍 0
    2. 👎 0
  6. Thanks! :)

    And yes for 3, I think it's congruent. If the shape stays the same and does not change.

    1. 👍 0
    2. 👎 0
  7. Excellent work : )

    1. 👍 0
    2. 👎 0
  8. Thanks @MsPi_3.14159265 ! :D

    I greatly appreicte your help today!! :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Are these correct?! 1. Samantha drew Δ JKL with the coordinates (2, 3), (4, 3), and (5, 2). She reflected this triangle over the x-axis to create an image. What are the coordinates of the image? A. (0, 3), (2, 3), and (3, 2) B.

  2. Geometry Help

    Triangles DEF and D'E'F' are shown on the coordinate plane below: Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime 6, 1, at E prime 3, negative 1, at F prime

  3. Math

    i need my answers checked please :) Every which way quiz for connexus 8th grade 1. Samantha drew Δ JKL with the coordinates (2, 3), (4, 3), and (5, 2). She reflected this triangle over the x-axis to create an image. What are the

  4. math Please help!!

    triangles ABC and DEF are similar. What is the legnth of side EF? Triangle ABC: Side Ab 3 cm Side Bc 2 cm Side Ca 5 cm Triangle DEF Side De 4.5 cm Side Ef x Side Fd 7.5 cm what is the legnth of side ef A 1.5 cm B 4 cm*** C 3 cm D

  1. Geometry

    Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if

  2. Math

    1. Based on the given information, what can you conclude, and why? Given: m angle P= m angle T ; PR=TR. A) Triangle QRP is congruent to Triangle TRS by SAS. B) Triangle QRP is congruent to Triangle SRT by SSS. C) Triangle QRP is

  3. geometry

    Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her

  4. algebra

    Triangle ABC is transformed to create triangle DEF. What sequence of transformations maps one to the other? Select all that apply. A.Rotate 180° about the origin, then translate left 2 units B.Reflect over the x-axis, then

  1. geometry

    triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60?

  2. Precalculus

    In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent.

  3. Math

    Given triangle ABC is congruent to triangle PQR, triangle PQR is congruent tp triangle XYZ, prove that triangle ABC is congruent to triangle XYZ

  4. Geometry

    1. In an isosceles triangle that is not equilateral the angle between the congruent sides is called a ____ A> Leg B> Vertex C> Base D> Corollary

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