∠G ≅ ∠JHI: Corresponding Angles.
G = H: Left-Right Rule of Equality.
∠I ≅ ∠I: Reflexive Property.
G≅H: SAS (Side-Angle-Side) Congruence Postulate.
ΔGIK ≅ ΔHIJ: ASA (Angle-Side-Angle) Congruence Postulate.
The question is about proving that two triangles, ∆GIK and ∆HIJ, are congruent given that line GK is parallel to line HJ.
This proof appears to rely on geometric properties and theorems related to parallel lines, angles, and congruence.
Identify the given items and the items to prove.
Use the Reflexive Property to establish that a side or angle is equal to itself.
Determine which Geometric Postulates or Theorems (e.g., SSS, SAS, AA) apply to this scenario.
Based on the provided information, it seems that congruence can be proven by understanding and applying the properties of parallel lines and the corresponding angles that result from them, as well as knowing that triangles are congruent if all three sides (SSS) or two sides and the included angle (SAS) are equal
The probable question may be:
Fill in the proof below.
Given: GK||HJ
Prove: ΔGIK-ΔHIJ
Statements Reasons
________ _________
________ Reflexive Property
∠G ≅ ∠JHI __________
AGIK AHIJ __________
DRAG & DROP THE ANSWER
Given, Prove, SSS, SAS, ∠K ≅ ∠K, Corresponding Angles, Vertical Angles, GK || HJ, ∠I ≅ ∠I, Alternate Interior Angles, AA