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g0410

1. 1. Geometry Item 04-10 www.upcatreview.com
2. 2. Geometry Item 04-10 Looking at the figure: www.upcatreview.com
3. 3. Geometry Item 04-10 If AC = AE, then: A. Angles C and E are congruent by Isosceles Triangle Theorem ( If two sides of a triangle are congruent then the angles opposite those sides are congruent. ) Triangle ACE is isosceles because it has two congruent sides. www.upcatreview.com
4. 4. Geometry Item 04-10 If AC = AE, then: B. Segment AD bisects  CAE because in an isosceles triangle, the altitude of the bisects the vertex angle . Segment AD is an altitude because it is perpendicular to the base. www.upcatreview.com
5. 5. Geometry Item 04-10 If AC = AE, then: C. Segment AD is a perpendicular bisector of Side CE because in an isosceles triangle, the altitude of the base bisects the base. Segment AD is both perpendicular to and a bisector of the base. www.upcatreview.com
6. 6. Geometry Item 04-10 Thus, the answer is: D. All of these www.upcatreview.com