Geometry Flashcard

Front

What is the relationship between angle b and angle k if b = 2k?

Back

Angle b is twice the measure of angle k.

Front

If m∠KML = 65° and m∠KJL = (1/2)x + 17°, how do you solve for x?

Back

Set up the equation: 65 = (1/2)x + 17. Solve for x to find x = 164.

Front

What is the measure of arc KJL if x = 164?

Back

The measure of arc KJL is 230°.

Front

How do you find the length of segment AB in a geometric figure?

Back

Use the appropriate geometric formula or theorem based on the given information.

Front

What is the measure of angle A in a circle with tangent segments AC and AB?

Back

Angle A measures 84°.

Front

What is the significance of the altitude JM in triangle JKL?

Back

Altitude JM separates the hypotenuse into two segments, which can be used to find the perimeter.

Front

How do you calculate the perimeter of triangle JKL?

Back

Add the lengths of all three sides of the triangle.

Front

What is the formula for the sum of angles in a triangle?

Back

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

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The opposite angles (vertical angles) are equal, and the adjacent angles are supplementary.

Front

What is the definition of a tangent line in relation to a circle?

Back

A tangent line touches the circle at exactly one point and is perpendicular to the radius at that point.