Question

B. Complete the missing information in the two-columns. Given: BI and RN bisect each other at A. Prove: \(\triangle BAR \cong \triangle IAN\) Proof: Statements Reason BI and RN bisect each other at A. Given BA \( = \) IA 7.) 8.) Definition of Segment Bisector 9.) Vertical Angle Theorem \(\triangle BAR \cong \triangle IAN\) 10.) RA is congruent to NA Definition of segement bisector Angle BAR is congruent to angle IAN SAS Theorem ASS Theorem Definition of Congruent Angle

          B. Complete the missing information in the two-columns.
Given: BI and RN bisect each other at A.
Prove: \(\triangle BAR \cong \triangle IAN\)
Proof:
Statements
Reason
BI and RN bisect each other at A.
Given
BA \( = \) IA
7.)
8.)
Definition of Segment Bisector
9.)
Vertical Angle Theorem
\(\triangle BAR \cong \triangle IAN\)
10.)
RA is congruent to NA
Definition of segement bisector
Angle BAR is congruent to angle IAN
SAS Theorem
ASS Theorem
Definition of Congruent Angle

B. Complete the missing information in the two-columns.
Given: BI and RN bisect each other at A.
Prove: BAR ≅ IAN
Proof:
Statements
Reason
BI and RN bisect each other at A.
Given
BA = IA
7.)
8.)
Definition of Segment Bisector
9.)
Vertical Angle Theorem
BAR ≅ IAN
10.)
RA is congruent to NA
Definition of segement bisector
Angle BAR is congruent to angle IAN
SAS Theorem
ASS Theorem
Definition of Congruent Angle

Added by Edwin A.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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Solved by Expert Jessica Horn

Step 1

Segment BI and RN bisect each other at point 4 (Given) Show more…

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Complete the missing information in the Low-column. Given: DL and RN bisect each other at point 4. Prove: ABAR NAN Proof: Statement Reason 1. Segment BI and RN bisect each other at point 4 Given 2. Definition of Segment Bisector Vertical Angle Theorem 3. Angle BAR is congruent to angle NAN SAS Theorem 4. Definition of Congruent Angle