math practice test

Complementary Angles: Two angles whose measures add up to 90 degrees. Each angle is called the complement of the other.

2. Supplementary Angles: Two angles whose measures add up to 180 degrees. Each angle is called the supplement of the other.

   3. Adjacent Angles: Two angles that share a common side and a common vertex but do not overlap.

   4. Vertical Angles: The opposite (non-adjacent) angles formed when two lines intersect. Vertical angles are always congruent (equal in measure).

   5. Linear Pair: A pair of adjacent angles whose non-common sides form a straight line. Linear pairs are always supplementary.

   6. Corresponding Angles: When two parallel lines are cut by a transversal, corresponding angles are in the same relative position at each intersection. These angles are congruent.

Alternate Interior Angles: When two parallel lines are cut by a transversal, alternate interior angles are on opposite sides of the transversal and inside the parallel lines. These angles are congruent.

8. Alternate Exterior Angles: When two parallel lines are cut by a transversal, alternate exterior angles are on opposite sides of the transversal and outside the parallel lines. These angles are congruent.

   9. Consecutive Interior Angles (also known as Same-Side Interior Angles): When two parallel lines are cut by a transversal, consecutive interior angles are on the same side of the transversal and inside the parallel lines. These angles are supplementary.

   10. Exterior Angles: Angles formed outside a polygon when one side is extended. In a triangle, an exterior angle is equal to the sum of the two non-adjacent interior angles.

   11. Interior Angles: Angles formed inside a polygon. The sum of the interior angles of a polygon depends on the number of sides. For a triangle, the sum is always 180 degrees.

   12. Alternate Angles: A general term that can refer to both alternate interior and alternate exterior angles. These angles are on opposite sides of the transversal.

Co-Interior Angles: Another term for consecutive interior angles; these are on the same side of the transversal and inside the parallel lines, and they are supplementary.

14. Corresponding Angles Postulate: If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

    15. Alternate Interior Angles Theorem: If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

    16. Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

    17. Consecutive Interior Angles Theorem: If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

    18. Transversal: A line that intersects two or more lines at distinct points.

    19. Perpendicular Lines: Two lines that intersect to form right angles (90 degrees).

    20. Oblique Lines: Lines that intersect but do not form right angles.

Identify Shared Characteristics: • Look for angles that share a common side or vertex. For example, adjacent angles share a common side and vertex but do not overlap.

2. Use Angle Sum Properties: • Remember that the sum of angles in specific configurations can help identify relationships. For instance, complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees.

   3. Recognize Parallel Line Indicators:

   • When a transversal intersects parallel lines, specific angle pairs are formed: • Corresponding Angles: Located in the same relative position at each intersection; these angles are congruent. • Alternate Interior Angles: Found on opposite sides of the transversal and inside the parallel lines; these angles are congruent. • Alternate Exterior Angles: Located on opposite sides of the transversal and outside the parallel lines; these angles are congruent. • Consecutive Interior Angles: On the same side of the transversal and inside the parallel lines; these angles are supplementary.

   4. Apply the Vertical Angles Theorem:

   • When two lines intersect, they form two pairs of opposite angles called vertical angles, which are always congruent.

   5. Consider Linear Pairs:

   • A linear pair consists of two adjacent angles whose non-common sides form a straight line. These angles are supplementary.

   6. Analyze Angle Relationships in Polygons:

   • In triangles, the sum of the interior angles is always 180 degrees. An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. • For polygons, the sum of the interior angles can be calculated using the formula: (n - 2) ×