Match conclusions to givens: A-B, D-D, B-B, C-C.
The image you sent me is a geometry problem that asks you to match the conclusion on the right with the given information on the left. There are four sets of information and four conclusions.
The first set of information states that AB = BC and m∠1 > m∠2. The conclusion that matches this information is A. AD > AB. This is because when two sides of a triangle are congruent and one angle is greater than the other, the side opposite the larger angle is longer.
The second set of information states that 4E > EC and 4D = CD. The conclusion that matches this information is D. 4E > EC. This is because if one side of a triangle is longer than another side, the angle opposite the longer side will be larger.
The third set of information states that m∠9 < m∠10 and BE = ED. The conclusion that matches this information is B. AD > AB. This is because when two angles of a triangle are congruent and one side is longer than the other, the side opposite the longer side will be closer to the congruent angles.
The fourth set of information states that AB = BC and AD = CD. The conclusion that matches this information is C. m∠7 > m∠8. This is because when two sides of a triangle are congruent and the third side is longer, the angle opposite the longer side will be larger.