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2 of 5 03:53 / 55:00 Are the below triangles similar, if so, what makes them similar? 8 12 50° 16 50 24 O No, they are not similar. O Yes, AA- makes them similar. Yes, SAS- makes them similar. B.

2 of 5 03:53 / 55:00 Are the below triangles similar, if so, what makes them similar? 8 12 50° 16 50 24 O No, they are not similar. O Yes, AA- makes them similar. Yes, SAS- makes them similar. B.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.1: Triangles
Problem 1C
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### Exam Review 3 #### Question: Are the below triangles similar, if so, what makes them similar? **Diagram Description:** Two triangles, \(\triangle ABC\) and \(\triangle DEF\), are provided. The angles and side lengths are labeled as follows: - For \(\triangle ABC\): - \( \angle A = 50^\circ \) - Side \( AB = 12 \) - Side \( AC = 24 \) - \( \angle C = 50^\circ \) - For \(\triangle DEF\): - \( \angle D = 50^\circ \) - Side \( DF = 8 \) - Side \( DE = 16 \) - \( \angle F = 50^\circ \) #### Options: - \( \circ \) No, they are not similar. - \( \circ \) Yes, AA~ makes them similar. - \( \circ \) Yes, SAS~ makes them similar. ### Detailed Analysis: The diagram shows two triangles, \(\triangle ABC\) and \(\triangle DEF\), each with a pair of corresponding angles equal (\(\angle A = 50^\circ \) with \(\angle D = 50^\circ \) and \(\angle C = 50^\circ \) with \(\angle F = 50^\circ \)). Hence, by the Angle-Angle (AA) similarity criterion, the triangles are similar because two angles of one triangle are respectively equal to two angles of the other triangle.
Transcribed Image Text:### Exam Review 3 #### Question: Are the below triangles similar, if so, what makes them similar? **Diagram Description:** Two triangles, \(\triangle ABC\) and \(\triangle DEF\), are provided. The angles and side lengths are labeled as follows: - For \(\triangle ABC\): - \( \angle A = 50^\circ \) - Side \( AB = 12 \) - Side \( AC = 24 \) - \( \angle C = 50^\circ \) - For \(\triangle DEF\): - \( \angle D = 50^\circ \) - Side \( DF = 8 \) - Side \( DE = 16 \) - \( \angle F = 50^\circ \) #### Options: - \( \circ \) No, they are not similar. - \( \circ \) Yes, AA~ makes them similar. - \( \circ \) Yes, SAS~ makes them similar. ### Detailed Analysis: The diagram shows two triangles, \(\triangle ABC\) and \(\triangle DEF\), each with a pair of corresponding angles equal (\(\angle A = 50^\circ \) with \(\angle D = 50^\circ \) and \(\angle C = 50^\circ \) with \(\angle F = 50^\circ \)). Hence, by the Angle-Angle (AA) similarity criterion, the triangles are similar because two angles of one triangle are respectively equal to two angles of the other triangle.
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