Comprehensive Resource To Help You Ace 2026-2027
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1. Angle - Correct Answer: -Formed by two rays that start from the same point
-This point is called the vertex; the rays are called the sides o the angle
-Measured in degrees
-The degrees indicate the size of the angle, from one side to the other
2. Various ways an angle can be named - Correct Answer: -By the letter of the vertex;
therefore, the angle above could be named ∠A
-By the number (or small letter) in its interior; therefore, the angle above could be named ∠1
-By the letters of the three points that formed it; therefore, the angle above could be named
∠BAC, or ∠CAB. The center letter is always the letter of the vertex.
3. Adjacent angles - Correct Answer: Any angles that share a common side and a common
vertex
In the diagram, ∠1 and ∠2 are adjacent angles.
4. Right angle - Correct Answer: -Has a measure of 90°
-The symbol in the interior of an angle designates the fact that a right angle is formed
,In the diagram, ∠ABC is a right angle.
5. Acute angle - Correct Answer: Any angle whose measure is less than 90°
In the diagram, ∠b is acute.
6. Obtuse angle - Correct Answer: Any angle whose measure is larger than 90° but less than
180°
In the diagram, ∠4 is an obtuse angle.
7. Straight angle - Correct Answer: Has a measure of 180°; also known as a line.
In the diagram, ∠BAC is a straight angle.
8. Complementary angles - Correct Answer: Two angles whose sum is 90°
In the diagram, since ∠ABC is a right angle, ∠1 + ∠2 = 90°.
Therefore, ∠1 and ∠2 are complementary angles. If ∠1 = 55°, its complement, ∠2, would be:
90° - 55° = 35°.
9. Supplementary angles - Correct Answer: Two angles whose sum is 180°
In the diagram, since ∠ABC is a straight angle, ∠3 + ∠4 = 180°.
Therefore, ∠3 and ∠4 are supplementary angles. If ∠3 = 122°, its supplement, ∠4, would be:
180° - 122° = 58°.
, 10. Angle bisector - Correct Answer: A ray from the vertex of an angle that divides the angle
into two equal pieces
In the diagram, ray AB is the angle bisector of ∠CAD.
Therefore, ∠1 = ∠2.
11. Vertical angles - Correct Answer: -If two straight lines intersect, they do so at a point
-Four angles are formed
-Those angles opposite each other are called vertical angles
-Those angles sharing a common side and a common vertex are adjacent/supplementary angles
-Vertical angles are always equal
12. Intersecting lines - Correct Answer: -Two or more lines that cross each other at a point
-That point would be on each of those lines
13. Perpendicular lines - Correct Answer: -Two lines that meet to form right angles (90°)
-The symbol ⟂ is used to denote perpendicular lines
In the diagram, l ⟂ m.
14. Parallel lines - Correct Answer: -Two or more lines that remain the same distance apart
at all times
-Parallel lines never meet
-The symbol || is used to denote parallel lines
, In the diagram, l || m.
15. Transversal - Correct Answer: -A third line that cuts two parallel lines, forming two sets
of four angles
-Angles in the same relative positions have the same measures
-For any two angles you select, if they are not equal to one another, they will be supplementary
to one another
In the diagram:
angle 1 = angle 5
angle 2 = angle 6
angle 3 = angle 7
angle 4 = angle 8
But since vertical angles are equal,
angle 1 = angle 3
angle 2 = angle 4
angle 5 = angle 7
angle 6 = angle 8
From this, we can see
angle 1 = angle 3 = angle 5 = angle 7
angle 2 = angle 4 = angle 6 = angle 8
16. Polygon - Correct Answer: -A closed figure formed with line segments which are called
the sides
-Poly means "many" and gon means "sides"; thus, polygon means "a many-sided figure"
17. Triangle - Correct Answer: -A three-sided polygon