Angles, Translations, & Reflections

Front

What is an angle?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex).

Front

What are the types of angles based on their measures?

Back

Acute (less than 90°), Right (exactly 90°), Obtuse (greater than 90° but less than 180°), Straight (exactly 180°).

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How do you translate a point (x, y) 3 units to the left and 9 units down?

Back

Subtract 3 from x and 9 from y: (x-3, y-9).

Front

What is a reflection in geometry?

Back

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

Front

What is the result of reflecting the point (3, 2) across the x-axis?

Back

The image is (3, -2).

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles formed when a transversal crosses two parallel lines, located on opposite sides of the transversal and inside the parallel lines.

Front

Are alternate interior angles congruent when two parallel lines are cut by a transversal?

Back

Yes, alternate interior angles are congruent.

Front

What is a supplementary angle?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

If one angle measures 29°, what is the measure of its supplementary angle?

Back

151° (because 180° - 29° = 151°).