Math 2 Unit 1 Review

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

How do you perform a translation of a point (x, y) to (x + a, y + b)?

Back

To translate a point (x, y), you add 'a' to the x-coordinate and 'b' to the y-coordinate.

Front

What is the result of translating the point (3, 4) 2 units left and 1 unit up?

Back

The new point is (1, 5).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of symmetry for a trapezoid with vertices at (0, 0), (4, 0), (1, 2), and (3, 2)?

Back

The line of symmetry is x = 2.

Front

What does it mean to rotate a figure 90° counterclockwise about the origin?

Back

To rotate a figure 90° counterclockwise, switch the coordinates (x, y) to (-y, x).

Front

What are the new coordinates of point (2, 3) after a 180° rotation about the origin?

Back

The new coordinates are (-2, -3).

Front

How do you find the coordinates of a triangle after a translation?

Back

Add the translation values to each vertex's coordinates.

Front

What is the effect of reflecting a point across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the vertices after reflecting across the x-axis?

Back

The new vertices are A(1, -2), B(3, -4), and C(5, -6).