Math 2 Final Exam Review

Front

How do you translate triangle A'B'C' to triangle ABC?

Back

To translate triangle A'B'C' to triangle ABC, apply the translation vector (x+2, y-9).

Front

What is the square root of -4?

Back

The square root of -4 is 2i.

Front

Find x if the equation is x + 2 = 6.

Back

x = 4.

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Front

Calculate the distance between the points (4, 7) and (2, 2).

Back

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5), what are the new coordinates after dilation by a scale factor of 3?

Back

The new coordinates are (6,0), (9,-3), and (-6,-15).

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What are the coordinates of the centroid of a triangle with vertices (x1, y1), (x2, y2), (x3, y3)?

Back