Transformations Part 1

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 are the coordinates of a point reflected over the y-axis?

Back

If a point has coordinates (x, y), its reflection over the y-axis will be (-x, y).

Front

How do you translate a point in the coordinate plane?

Back

To translate a point (x, y), you add the translation vector (a, b) to it, resulting in the new point (x+a, y+b).

Front

What is the result of translating point H(-6, 2) 4 units up and 3 units right?

Back

The new coordinates are (-6 + 3, 2 + 4) = (-3, 6).

Front

What is a translation vector?

Back

A translation vector indicates the direction and distance a point or shape moves in the coordinate plane.

Front

How do you determine if two triangles are congruent through translation?

Back

Two triangles are congruent through translation if all corresponding points can be matched by moving the triangle along a straight path.

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means that for every point (x, y), the new point will be (x, -y).

Front

What is the effect of rotating a point 90 degrees counter-clockwise around the origin?

Back

The new coordinates of a point (x, y) after a 90-degree counter-clockwise rotation are (-y, x).

Front

What is the transformation that maps triangle ABC onto triangle A"B"C" if it involves moving down and left?

Back

The transformation is to translate 5 units down and 1 unit left, then reflect over the y-axis.

Front

What happens when you reflect a point over the line y=x?

Back

If a point has coordinates (x, y), its reflection over the line y=x will be (y, x).