Independent Activity 2 Directions: Prove the following statement using the two-column proof. Complete the table below: Given: ∠Ilm Prove: ∠Lb = 24 Statements Reasons 1. Given 1. Given 2. ∠Ilm = ∠Lb 2. Corresponding Angles Postulate 3. ∠Lb = 24 3. Definition of Congruent Angles Given: ∠Ilm Prove: ∠L1 + ∠L4 = 180° Statements Reasons 1. Given 1. Given 2. ∠Ilm = ∠L1 2. Corresponding Angles Postulate 3. ∠L1 + ∠L4 = 180° 3. Definition of Congruent Angles 4. ∠Ilm + ∠L4 = 180° 4. Substitution Property of Equality 5. ∠L4 + ∠L1 = 180° 5. Commutative Property of Addition
Added by Keith M.
Close
Step 1
Given: ∠Ilm Prove: ∠Lb = 24 Statements Reasons Show more…
Show all steps
Your feedback will help us improve your experience
Jim Long and 86 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Statements Reasons 1. L1 = L4 1. Given 2. 2L4 = L3 2. Vertical Angle Theorem 3. 2L4 = 2 3. Simplification 4. L2 = 1/3 4. Square root of 1 = 1 5. L2 = 0.3 5. Decimal representation of 1/3
James K.
Piyush Kumar G.
Complete the 2-Column Proof: Given: BD bisects AC Prove: AB ≅ CB Statements Reasons 1. BD bisects AC Given 2. AD ≅ DC Definition of segment bisector 3. BD ∘ AC Definition of lines 4. ∠ADB & ∠CDB are right angles All right angles are equal 5. ∠ADB ≅ ∠CDB Reflexive Property 6. BD ≅ BD SAS (Side-Angle-Side) 7. AB ≅ CB Definition of angles
Jeremiah M.
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD