Geometry Midterm REVIEW

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. The sum of the angles in a linear pair is always 180°.

Front

If one angle in a linear pair is nine times the other, how do you find the measures of the angles?

Back

Let the smaller angle be x. Then the larger angle is 9x. Since they form a linear pair, x + 9x = 180°. Solving gives x = 20°, so the larger angle is 160°.

Front

How do you find the midpoint of a line segment with endpoints G(1,0) and H(3,-6)?

Back

The midpoint M is found using the formula M = ((x1 + x2)/2, (y1 + y2)/2). For G(1,0) and H(3,-6), M = ((1 + 3)/2, (0 - 6)/2) = (2, -3).

Front

What are the properties of a rhombus regarding its angles?

Back

In a rhombus, opposite angles are equal, and adjacent angles are supplementary (sum to 180°). The diagonals bisect each other at right angles.

Front

If m∠BDA = 160°, how do you find m∠ADC?

Back

Since angles BDA and ADC are vertical angles, they are equal. Therefore, m∠ADC = 160°.

Front

What is the slope of a line parallel to y = 6x + 11?

Back

The slope of the line y = 6x + 11 is 6. Lines that are parallel have the same slope.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle is given by A = (1/2) * base * height.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What is the difference between complementary and supplementary angles?

Back

Complementary angles are two angles that add up to 90°, while supplementary angles are two angles that add up to 180°.