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In the figure, AB = BC and BD I AC. Complete the sentence. A 1. BC is the of right triangle ABDC. 2. BD is a of right triangle ABDC. 3. AC is the of isosceles triangle AABC. 4. The legs of isosceles triangle AABC are and 5. The legs of right triangle AADB are and B Lesson

In the figure, AB = BC and BD I AC. Complete the sentence. A 1. BC is the of right triangle ABDC. 2. BD is a of right triangle ABDC. 3. AC is the of isosceles triangle AABC. 4. The legs of isosceles triangle AABC are and 5. The legs of right triangle AADB are and B Lesson

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In the figure, \( \overline{AB} \cong \overline{BC} \) and \( \overline{BD} \perp \overline{AC} \). Complete the sentence. 1. \( \overline{BC} \) is the ______ of right triangle \( \triangle BDC \). 2. \( \overline{BD} \) is a ______ of right triangle \( \triangle BDC \). 3. \( \overline{AC} \) is the ______ of isosceles triangle \( \triangle ABC \). 4. The legs of isosceles triangle \( \triangle ABC \) are ______ and ______. 5. The legs of right triangle \( \triangle ADB \) are ______ and ______. **Diagram Explanation:** The diagram shows a triangle \( \triangle ABC \) where \( \overline{AB} \) is congruent to \( \overline{BC} \). A line \( \overline{BD} \) is drawn perpendicular from point \( B \) to line \( \overline{AC} \), forming right angles at point \( D \). Triangle \( \triangle ABC \) is isosceles, while \( \triangle BDC \) and \( \triangle ADB \) are right triangles.
Transcribed Image Text:In the figure, \( \overline{AB} \cong \overline{BC} \) and \( \overline{BD} \perp \overline{AC} \). Complete the sentence. 1. \( \overline{BC} \) is the ______ of right triangle \( \triangle BDC \). 2. \( \overline{BD} \) is a ______ of right triangle \( \triangle BDC \). 3. \( \overline{AC} \) is the ______ of isosceles triangle \( \triangle ABC \). 4. The legs of isosceles triangle \( \triangle ABC \) are ______ and ______. 5. The legs of right triangle \( \triangle ADB \) are ______ and ______. **Diagram Explanation:** The diagram shows a triangle \( \triangle ABC \) where \( \overline{AB} \) is congruent to \( \overline{BC} \). A line \( \overline{BD} \) is drawn perpendicular from point \( B \) to line \( \overline{AC} \), forming right angles at point \( D \). Triangle \( \triangle ABC \) is isosceles, while \( \triangle BDC \) and \( \triangle ADB \) are right triangles.
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