Question

Givere AC and BD bisect each other at M Prove: AMB ACMD B Statements 1. AC and BD bisect each other 2. AM a CM, BM a DM 3. 2 az 4. AAMB ACMD Reasons 1. . 3. Vert. 's 4. Column A Column B 1. 3. ABM, COM 2 2. b. MM 3. Alternate Exterior Angles Theorem 3. 4 - d. Definition of Angle Bisector e. Given f. AA Congruency & Vertical Angles Theorem AAS Congruency Alternate Interior Angles Theorem Definition of Segmen Blector SAS Congruency Column A Column B 3. 3. c. Alternate Exterior Angles Theorem 4. 4. d. Definition of Angle Bisector e. Given f. AA Congruency g. Vertical Angles Theorem h. AAS Congruency I. Alternate Interior Angles Theorem j. Definition of Segment Bisector K. SAS Congruency 1. Prove m. Corresponding Angles Theorem n. Reflexive Property o. Same Side Exterior Angles Theorem p. Linear Pair Postulate 9. 555 Congruency 1. ASA Congruency 5. Same Side Interior Angles Theorem LAMB, CMD Symmetric Property

Answer 1

The question involves geometry, specifically proving properties of congruent triangles and bisectors within intersected lines.

Step-by-step explanation:

The question presented pertains to proving geometrical theorems involving the bisecting segments and angles within intersecting lines and triangles.

The content seems to indicate the process of proving congruent triangles and the properties arising from the intersection of segment bisectors, possibly within the context of Euclidean geometry. Terms like angle bisector, congruent triangles, and segment bisector are central to the solution.