select the reasoning for your answer M 25 Answer 1 similar 14 L The figures...

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select the reasoning for your answer M 25 Answer 1 similar 14 L The figures are similar because the corresponding angles are congruent and the corresponding sides are proportional A VUT AVLM Answer 2 This is correct However we are using the following criteria 8 V All sets of corresponding angles are congruent All sets of corresponding sides are proportional congruent 49 28 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 U Answer 3 Using the following two theorems we can calculate all angles in the given triangles proportional Answer 4 VLM 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 25 The following properties occur if two figures are similar All sets of corresponding angles are congruent T

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Transcribed Image Text

select the reasoning for your answer M 25 Answer 1 similar 14 L The figures are similar because the corresponding angles are congruent and the corresponding sides are proportional A VUT AVLM Answer 2 This is correct However we are using the following criteria 8 V All sets of corresponding angles are congruent All sets of corresponding sides are proportional congruent 49 28 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 U Answer 3 Using the following two theorems we can calculate all angles in the given triangles proportional Answer 4 VLM 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 25 The following properties occur if two figures are similar All sets of corresponding angles are congruent T

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