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

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

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

1. 👍
2. 👎
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. 👍
2. 👎
6. Thanks! :)

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

1. 👍
2. 👎
7. Excellent work : )

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

I greatly appreicte your help today!! :)

1. 👍
2. 👎

## Similar Questions

1. ### Geometry

12. To describe a sequence of transformations that maps triangle ABC onto triangle A''B''C'', a student starts with a reflection x-axis. `How should the student complete a sequence of transformations to map ABC onto triangle

2. ### Math

Use the congruent triangles shown to answer question 6 and 7. 6. A. B. C. D. 7. Side BC is congruent to which side? A. ZX B. YX C. XY D. YZ 8. in the image below, ABC ~ DEF What is the length of EF and the measure of A. 27; 41 B.

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. ### 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

1. ### 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

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

3. ### geometry

The triangle DEF has vertices D(-1,3) E(7,1) and F(4,6). Classify the triangle as: a) isosceles or scalene b) right angled or not

4. ### 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

1. ### 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

2. ### algebra

Point D(-3,5) is a vertex of triangle DEF. After rotation of the triangle about the origin D us located at (3,5). Which of the following was the rotation of the triangle? A. 90* (degrees) clockwise B. 90* Counterclockwise C. 180*

3. ### geometry

"Triangle DEF is similar to triangle ABC, and the length of side DE is 6 cm. The length of side AB is 2 cm. If the area of triangle ABC is 5 square cm, what is the area of triangle DEF?

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