Geometry MCAP Review

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning for any segment AB, it holds that \( \overline{AB} \cong \overline{AB} \).

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are congruent when the lines are parallel.

Front

What does it mean if a scale factor is less than one?

Back

If the scale factor is less than one, the new figure will be a reduction of the original figure.

Front

How do you find the equation of a line perpendicular to another line?

Back

To find the equation of a line perpendicular to a given line, take the negative reciprocal of the slope of the original line and use the point-slope form of the equation.

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 is the formula for the slope of a line?

Back

The slope (m) of a line is calculated using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a figure 90 degrees in the direction of the clock hands.

Front

What is the difference between a dilation and a reduction?

Back

A dilation enlarges a figure by a scale factor greater than one, while a reduction decreases the size of a figure with a scale factor less than one.

Front

What is the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is given by \( y = mx + b \), where m is the slope and b is the y-intercept.