select the reasoning for your answer. 49 25 M 25 14 L 8 1 V 28...

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select the reasoning for your answer. 49 25 M 25 14 L 8 1 V 28 U T The figures are similar because the corresponding angles are congruent and the corresponding sides are proportional. A VUT ~AVLM Answer 1: similar This is correct. However, we are using the following criteria: All sets of corresponding angles are congruent. All sets of corresponding sides are proportional. As we do not know all three sides of each triangle, and have no way of calculating the missing side. We don't have enough information to determine if all three corresponding sides are proportional. We would need to use similarity postulates which will be covered in the next section. Answer 2: congruent Using the following two theorems we can calculate all angles in the given triangles. Vertical Angles: Any pairs of opposite angles made by two intersecting lines are always congruent. Triangle Angle Sum: All three angles in a triangle will always sum to 180 degrees. Answer 3: proportional Answer 4: VLM The following properties occur if two figures are similar: All sets of corresponding angles are congruent. select the reasoning for your answer. 49 25 M 25 14 L 8 1 V 28 U T The figures are similar because the corresponding angles are congruent and the corresponding sides are proportional. A VUT ~AVLM Answer 1: similar This is correct. However, we are using the following criteria: All sets of corresponding angles are congruent. All sets of corresponding sides are proportional. As we do not know all three sides of each triangle, and have no way of calculating the missing side. We don't have enough information to determine if all three corresponding sides are proportional. We would need to use similarity postulates which will be covered in the next section. Answer 2: congruent Using the following two theorems we can calculate all angles in the given triangles. Vertical Angles: Any pairs of opposite angles made by two intersecting lines are always congruent. Triangle Angle Sum: All three angles in a triangle will always sum to 180 degrees. Answer 3: proportional Answer 4: VLM The following properties occur if two figures are similar: All sets of corresponding angles are congruent.