Question

1. define the terms below. sketch an example.

a. translation
b. reflection
c. rotation

1. define the terms below: sketch an example.

a. corresponding angle
b. alternate exterior angle
c. alternate interior angle

Explanation:

1.

a. Translation

A translation is a transformation that slides a figure from one position to another without changing its size, shape, or orientation. For example, moving a triangle from one place on a coordinate - plane to another.

b. Reflection

A reflection is a transformation that flips a figure over a line of reflection. The resulting figure is a mirror - image of the original. For example, reflecting a triangle over the y - axis.

c. Rotation

A rotation is a transformation that turns a figure around a fixed point called the center of rotation. For example, rotating a triangle 90 degrees counter - clockwise around a point.

2.

a. Corresponding angle

When two parallel lines are cut by a transversal, corresponding angles are in the same relative position at each intersection. For example, if line l1 and l2 are parallel and cut by transversal t, the top - right angles at each intersection are corresponding angles.

b. Alternate exterior angle

When two parallel lines are cut by a transversal, alternate exterior angles are the non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal. For example, if l1 and l2 are parallel and cut by t, an angle above l1 and to the left of t and an angle above l2 and to the right of t are alternate exterior angles.

c. Alternate interior angle

When two parallel lines are cut by a transversal, alternate interior angles are the non - adjacent angles that lie between the two parallel lines and on opposite sides of the transversal. For example, if l1 and l2 are parallel and cut by t, an angle below l1 and to the right of t and an angle above l2 and to the left of t are alternate interior angles.

Answer:

1.

a. Definition: A transformation that slides a figure. Example: Moving a triangle on a plane.

b. Definition: A transformation that flips a figure over a line. Example: Reflecting a triangle over an axis.

c. Definition: A transformation that turns a figure around a point. Example: Rotating a triangle around a center point.

2.

a. Definition: Angles in the same relative position when two parallel lines are cut by a transversal. Example: Top - right angles at each intersection of parallel lines and a transversal.

b. Definition: Non - adjacent angles outside two parallel lines and on opposite sides of a transversal. Example: Angles above parallel lines and on opposite sides of a transversal.

c. Definition: Non - adjacent angles between two parallel lines and on opposite sides of a transversal. Example: Angles between parallel lines and on opposite sides of a transversal.