Geometry EOC Review - Congruence and Proofs

What is the significance of the congruence symbol (≅)?

• It indicates that two figures are similar, meaning they have the same shape but not necessarily the same size.

• It indicates that two figures are congruent, meaning they have the same shape and size.

• It represents the equality of two angles in a triangle.

• It shows that two lines are parallel and will never intersect.

What is the Reflexive Property in geometry?

• The Reflexive Property states that any geometric figure is congruent to itself.

• The Reflexive Property states that two different geometric figures are congruent.

• The Reflexive Property states that all angles in a triangle are equal.

• The Reflexive Property states that the sum of the angles in a polygon is equal to 180 degrees.

What is the Vertical Angles Theorem?

• The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

• The Vertical Angles Theorem states that adjacent angles formed by two intersecting lines are complementary.

• The Vertical Angles Theorem states that the sum of the angles formed by two intersecting lines is 180 degrees.

• The Vertical Angles Theorem states that vertical angles are always acute.

What is the formula for the perimeter of a triangle?

• P = a + b + c

• P = 2(a + b)

• P = a^2 + b^2 + c^2

• P = 3a

What is the Transitive Property in geometry?

• The Transitive Property states that if one figure is congruent to a second figure, and the second figure is congruent to a third figure, then the first figure is congruent to the third figure.

• The Transitive Property states that if two angles are equal to the same angle, then they are equal to each other.

• The Transitive Property states that if two figures are similar, then they are congruent.

• The Transitive Property states that if a line segment is bisected, then the two segments are equal.

What does SAS stand for in triangle congruence?

• Side-Angle-Side

• Side-Side-Angle

• Angle-Side-Angle

• Side-Side-Side

If BD = 16, EA = 5, and FC = 3, what is the perimeter of triangle ABC?

• 36

• 42

• 48

• 50

What are corresponding angles?

• Pairs of angles that are equal in measure and located on the same side of a transversal.

• Pairs of angles that are in the same position on different parallel lines cut by a transversal and are equal in measure.

• Angles that are supplementary and adjacent to each other.

• Angles that are formed when two lines intersect and are equal in measure.

What is the difference between vertical angles and adjacent angles?

• Vertical angles are adjacent angles that share a common side.

• Vertical angles are opposite angles formed by the intersection of two lines and are congruent, while adjacent angles share a common side and vertex but do not overlap.

• Adjacent angles are always equal in measure.

• Vertical angles are angles that are next to each other.

What is the SSS postulate?

• SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

• SSS stands for Side-Side-Side, a theorem that states if two angles of a triangle are equal, then the sides opposite those angles are also equal.

• SSS stands for Side-Side-Side, a principle that states if two triangles have equal areas, then they are congruent.

• SSS stands for Side-Side-Side, a rule that states if the perimeter of one triangle is equal to the perimeter of another triangle, then the triangles are congruent.