Geom Week 11 PT SAT Skill Check

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When two parallel lines are cut by a transversal, several pairs of angles are formed. Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

Define corresponding angles in the context of parallel lines and a transversal.

Back

Corresponding angles are pairs of angles that are in the same position at each intersection where a straight line crosses two others. If the lines are parallel, corresponding angles are equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If two angles are supplementary, what is their relationship?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the value of x if y = 23 and x + y = 43?

Back

x = 20.

Front

If point B lies on line segment AD, how do you find the length of segment AB if AD = 72 and AB = 3x?

Back

Set up the equation 3x + AB = 72. If AB = 54, then 3x = 54, so x = 18.

Front

What is the measure of angle AED if lines BC and DE are parallel and angle ABC = 62 degrees?

Back

Angle AED = 38 degrees, as it is an alternate interior angle.

Front

Define alternate interior angles in the context of parallel lines and a transversal.

Back

Alternate interior angles are pairs of angles that lie between the two lines and on opposite sides of the transversal. If the lines are parallel, these angles are equal.

Front

What is the value of y if lines AC and BD are parallel and angle ACB = 62 degrees?

Back

y = 31 degrees, as it is an alternate interior angle.

Front

What is the definition of a transversal in geometry?

Back

A transversal is a line that intersects two or more lines at different points.