Congruent Triangles - Vertical Angles and Reflexive Prop

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What are Vertical Angles?

Back

Vertical Angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

How can you determine if two triangles are congruent using the Reflexive Property?

Back

If two triangles share a side, that side can be used to show that the triangles are congruent by the Reflexive Property.

Front

What is the significance of Vertical Angles in proving triangle congruence?

Back

Vertical Angles can be used to establish that two angles in different triangles are equal, which can help in proving the triangles are congruent.

Front

Can two triangles be congruent without using the Reflexive Property or Vertical Angles?

Back

Yes, triangles can be congruent through other methods such as Side-Angle-Side (SAS) or Angle-Side-Angle (ASA) congruence.

Front

Provide an example of using the Reflexive Property in triangle congruence.

Back

If triangle ABC and triangle ABD share side AB, then AB is congruent to AB (Reflexive Property), helping to prove the triangles are congruent.

Front

What is the relationship between Vertical Angles and triangle congruence?

Back

Vertical Angles can be used to show that two angles in different triangles are equal, which is a key step in proving the triangles are congruent.

Front

If two angles are Vertical Angles, what can be said about their measures?

Back

The measures of Vertical Angles are equal.

Front

What is an example of a situation where neither the Reflexive Property nor Vertical Angles apply?

Back

If two triangles do not share any sides or angles, and there is no information about their angles or sides, neither property can be used.

Front

How do you identify Vertical Angles in a diagram?

Back

Vertical Angles are formed by two intersecting lines and are located opposite each other.