Geometry Tri-weekly Nov.'24

Front

What is the rule for reflecting a point across the y-axis?

Back

The rule is: $$(x, y) \rightarrow (-x, y)$$.

Front

What does the exterior angle theorem state?

Back

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What is the equation of a line that is parallel to another line?

Back

Parallel lines have the same slope. If line k has the equation $$y = mx + b$$, a parallel line will also have the form $$y = mx + c$$.

Front

What is the formula for the slope of a line?

Back

The slope (m) is calculated as $$m = \frac{y_2 - y_1}{x_2 - x_1}$$.

Front

What is the definition of 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 relationship between the angles in a triangle?

Back

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

Front

How do you find the y-intercept of a line?

Back

Set x = 0 in the equation of the line and solve for y.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the formula for the area of a triangle?

Back

The area (A) is given by $$A = \frac{1}{2} \times base \times height$$.