Vocabulary undefined term point line plane collinear coplanar segment endpoint ray opposite rays postulate

Vocabulary coordinate midpoint distance bisect length segment bisector construction between congruent segments

In order for you to say that a point B is between two points A and C, all three points must lie on the same line, and AB + BC = AC.

The midpoint M of AB is the point that bisects, or divides, the segment into two congruent segments. If M is the midpoint of AB, then AM = MB. So if AB = 6, then AM = 3 and MB = 3.

Vocabulary angle right angle vertex obtuse angle interior of an angle straight angle exterior of an angle congruent angles measure angle bisector degree acute angle

The measure of an angle is usually given in degrees The measure of an angle is usually given in degrees. Since there are 360° in a circle, one degree is of a circle. When you use a protractor to measure angles, you are applying the following postulate.

4 Types of Angles Acute Angle: Right Angle: Obtuse Angle: 5/25/2019 4 Types of Angles Acute Angle: an angle whose measure is less than 90. Right Angle: an angle whose measure is exactly 90 . Obtuse Angle: an angle whose measure is between 90 and 180. Straight Angle: an angle that is exactly 180 . Lesson 1-4: Angles

An angle bisector is a ray that divides an angle into two congruent angles. JK bisects LJM; thus LJK  KJM.

Vocabulary adjacent angles linear pair complementary angles supplementary angles vertical angles

Another angle pair relationship exists between two angles whose sides form two pairs of opposite rays. Vertical angles are two nonadjacent angles formed by two intersecting lines. 1 and 3 are vertical angles, as are 2 and 4.

Vocabulary perimeter diameter area radius base circumference height pi

The perimeter P of a plane figure is the sum of the side lengths of the figure. The area A of a plane figure is the number of non-overlapping square units of a given size that exactly cover the figure.

The ratio of a circle’s circumference to its diameter is the same for all circles. This ratio is represented by the Greek letter  (pi). The value of  is irrational. Pi is often approximated as 3.14 or .

Vocabulary coordinate plane leg hypotenuse

The x-axis and y-axis separate the coordinate plane into four regions, called quadrants. II (-, +) I (+, +) III (-, -) IV (+, -)

The Ruler Postulate can be used to find the distance between two points on a number line. The Distance Formula is used to calculate the distance between two points in a coordinate plane.

Vocabulary transformation reflection preimage rotation image translation

The Alhambra, a 13th-century palace in Grenada, Spain, is famous for the geometric patterns that cover its walls and floors. To create a variety of designs, the builders based the patterns on several different transformations. A transformation is a change in the position, size, or shape of a figure. The original figure is called the preimage. The resulting figure is called the image. A transformation maps the preimage to the image. Arrow notation () is used to describe a transformation, and primes (’) are used to label the image.

To find coordinates for the image of a figure in a translation, add a to the x-coordinates of the preimage and add b to the y-coordinates of the preimage. Translations can also be described by a rule such as (x, y)  (x + a, y + b).