# Math

Triangle ABC has vertices A(–4,–2), B(–1,3), and C(5,0). Triangle ABC is rotated 180° counterclockwise about the origin to form triangle A′B′C′.
What are the coordinates of the vertices of the triangle A′B′C′?
How could you determine the coordinates of the vertices of the image without using a graph?

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. A rotation of 180° is a reflection in the origin , so just change the signs of all your points.
e.g. B(-1,3) ----> B'(1,-3)
etc

1. 👍
2. 👎
3. ℹ️
4. 🚩
👤
Reiny
2. 3.c
4.c
5.d
6.a
7.c
8.d
9.b
11. b, d and e
13.d
The rest I cannot help with

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### Algebra

I need help with two math problems. 1. A triangle has vertices (1, 4), (1, 1), and (-3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90 degrees counterclockwise about the origin.

2. ### Math 7th

Triangle ABC is shown on the graph below. link to picture a. Triangle ABC is reflected over the y-axis. What are the coordinates of the reflected triangle? b. Describe in words what happens to the x-coordinates and the

3. ### Matrices

A triangle has vertices (1, 4), (1, 1), and (−3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90° counterclockwise about the origin. What are the vertices of the image of the

4. ### 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

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?

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. (x,y)--->(y,

3. ### Math

∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices. The measure of the longest side of ∆ABC is units. ∆ABC is triangle. If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is triangle.

4. ### 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

1. ### Trigonometry

Triangle ABC is a right triangle with right angle at C. CD is perpendicular to AB. BC=4 and CD=1. find the area of the triangle ABC.

2. ### Math

Write a sequence of transformations that maps triangle ABC onto triangle A''B''C''. --------------------------------------… A in ABC is 1,9, B in ABC is 3,12, and C in ABC is 4,4. A'' in A''B''C'' is 3,-3, B'' in A''B''C'' is

3. ### Algebra

I'm stuck!! Can someone please help me with this problem?? A triangle has vertices (1, 4), (1, 1), and (-3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90 degrees

4. ### Math

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