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.

asked by Brooklyn Squad
  1. Congruent means same size same shape...
    Is 1) still the same SIZE when you do a dilation of scale factor 4...

    posted by MsPi_3.14159265
  2. I don't think it stays the same size.

    posted by Brooklyn Squad
  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.

    posted by Brooklyn Squad
  4. So #1 is NOT congruent : )

    posted by MsPi_3.14159265
  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?

    posted by MsPi_3.14159265
  6. Thanks! :)

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

    posted by Brooklyn Squad
  7. Excellent work : )

    posted by MsPi_3.14159265
  8. Thanks @MsPi_3.14159265 ! :D

    I greatly appreicte your help today!! :)

    posted by Brooklyn Squad

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle
  2. Math

    Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle DFE
  3. Geometry (check answer)

    Prove that the triangles with the given vertices are congruent. A(3, 1), B(4, 5), C(2, 3) D(-1, -3), E(-5, -4), F(-3, -2) a The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation.
  4. 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.
  5. Trigonometry/Geometry

    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.
  6. Trigonometry/Geometry - Law of sines and cosines

    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.
  7. Geometry-PLEASE CHECK ANSWERS!

    In isosceles triangle DEF, DE=DF. Which of the following is true? 1) <D is congruent to <E 2) <F is congruent to <E 3) <D is congruent to <F 4) <D is congruent to <E which is congruent to <F Is the
  8. geometry

    Complete the flow proof for a Hypotenuse-Angle Theorem. Given AC congruent DF, <C congruent <F. <B and <E are right angles. Prove triangle ABC congruent triangle DEF. Thanks for tutors.
  9. Math

    Triangle ABC has coordinates A(-4,-2), B(0,-2), and C(-4,1). Triangle DEF has coordinates D(3,6), E(3,2), and F(0,2). Use coordinate geometry to determine if these two triangles are congruent. If they are not congruent, state the
  10. geomerty

    The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of

More Similar Questions