Angles, Translations, & Reflections

What are alternate interior angles?

• Pairs of angles formed when a transversal crosses two parallel lines, located on opposite sides of the transversal and inside the parallel lines.

• Angles that are equal when two parallel lines are cut by a transversal.

• Angles that are supplementary when two parallel lines are intersected by a transversal.

• Angles that are formed outside the parallel lines when a transversal crosses them.

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

• (x-3, y-9)

• (x+3, y-9)

• (x-3, y+9)

• (x+3, y+9)

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

• Yes, alternate interior angles are congruent.

• No, alternate interior angles are not congruent.

• Only if the transversal is perpendicular to the parallel lines.

• It depends on the length of the lines.

What is a supplementary angle?

• Two angles whose measures add up to 90°.

• Two angles whose measures add up to 180°.

• Two angles that are equal in measure.

• Two angles that are adjacent to each other.

What is the difference between rotation and reflection?

• A rotation flips a shape over a line, while a reflection turns it around a fixed point.

• A rotation turns a shape around a fixed point, while a reflection flips it over a line.

• A rotation changes the size of a shape, while a reflection does not.

• A rotation and a reflection are the same transformation.

What is the relationship between vertical angles?

• Vertical angles are always congruent; they are the angles opposite each other when two lines intersect.

• Vertical angles are always supplementary; they add up to 90 degrees.

• Vertical angles are never equal; they are always different.

• Vertical angles are adjacent angles that share a common vertex.

What is the image of the point (5, 4) after a translation of 2 units right and 3 units up?

• (5, 4)

• (7, 7)

• (8, 7)

• (7, 6)

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

• (3, 2)

• (3, -2)

• (-3, 2)

• (-3, -2)

What is a transformation in geometry?

• A transformation is an operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

• A transformation is a method to calculate the area of a shape.

• A transformation is a technique used to measure angles in geometry.

• A transformation is a way to classify shapes based on their properties.

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

• 151°

• 149°

• 160°

• 135°