Unit 2 Prior Vocabulary Gallery

Parallel Lines Two lines that lie in the same plane and they do not intersect Symbol ‖. In this case r is parallel to s k ‖ s Parallel lines have the same slope.

Congruent Having the same size, shape and measure. Notice that each figure below is congruent to one other figure in the given set of figures. The congruent pairs are congruent because they have the same size and shape, regardless of their orientation (the way they are "sitting").

Perpendicular Lines Two lines that intersect at a right angle. The angle equals 90 degrees.

Angles that sum up to 180˚ AND make a straight line. Linear Pair Angles that sum up to 180˚ AND make a straight line. NOT a linear pair. A linear pair is both Adjacent and supplementary angles.

Adjacent Angles Angles in the same plane that have a common side and a common vertex, and don’t overlap. In the figure above, angle FKI and angle FKH are adjacent angles.

Vertical Angles Opposing angles formed when 2 lines intersect. In this case angle EKG is vertical to angle HKF Notice that the angles have only one point in common, the vertex (K).

Transversal A line that crosses two or more lines. In this case angle Line q is a transversal.

The angles inside the parallel lines cut by a transversal. Interior Angles The angles inside the parallel lines cut by a transversal. In this example angles 3, 4, 7 and 8 are all interior angles.

The angles OUTSIDE the parallel lines cut by a transversal. Exterior Angles The angles OUTSIDE the parallel lines cut by a transversal. In this example angles 1, 2, 5 and 6 are all exterior angles.

Alternate Interior Angles Pairs of angles inside the parallel lines on opposite sides of the transversal. Alternate Interior Angles are congruent. In this example angle 3 is alternate interior to angle 7 AND Angle 8 is alternate interior to angle 4

Alternate Exterior Angles Pairs of angles OUSTIDE the parallel lines on opposite sides of the transversal. Alternate Exterior Angles are congruent. In this example angle 2 is alternate EXTERIOR to angle 6 AND Angle 1 is alternate exterior to angle 5

Same-Side Interior Angles Angles in one side of the transversal and inside the parallel lines. Angles 8 and 7 are same-side interior angles AND angles 3 and 4 are same-side interior angles.

Consecutive Interior Angles Tow angles that are in the same side of the transversal and in the interior of two parallel lines. Angles 1 and 3 are consecutive interior angles and angles 2 and 4 are consecutive interior angles.

Same-Side EXTERIOR Angles Angles in one side of the transversal and OUTSIDE of the parallel lines. Angles 1 and 6 are same-side exterior angles AND angles 2 and 5 are same-side exterior angles

Corresponding Angles Angles on the same side of the transversal. Relative Position Angles 8 and 6 are Corresponding angles AND angles 2 and 4 are corresponding angles

Related to itself / equal to itself. Reflexive Property Related to itself / equal to itself. In this case the triangles share the SAME side BD. In this example the triangles have the SAME angle in common angle A.

Similar Having the same shape; corresponding sides are proportional and corresponding angles are equal.

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Complementary Angles Two angles whose sum is 90º. In the example to the right, notice that at all times, angle BAT + angle CAT = 90º.The diagram to the left is the typical representation of complementary angle, but the angles do not have to be adjacent (as shown here) To be complementary.

Supplementary Angles Two angles whose sum is 180. Notice that since angle ABC is a straight angle, meaning that its measure is 180 degrees, then angle ABG + angle CBG = 180 degrees. Therefore, we can say that angles ABG and CBG are supplementary.

Part 3 Polygon Vocabulary

Equiangular The property of a polygon whose angles are all congruent. For example, an equilateral triangle is equiangular since its interior angles are equal (to 60 degrees). In general, all regular polygons such as equilateral triangle, square, pentagon, and hexagon are equiangular.

Equilateral The property of a polygon whose sides are all congruent.

Regular Polygon A polygon that is both equilateral and equiangular. Meaning same size angles and sames size sides.

Diagonal A segment that joins two nonconsecutive vertices of a polygon.