Given: Base ∠BAC and ∠ACB are congruent. Prove: ΔABC is an isosceles triangle. When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle. Construct a perpendicular bisector from point B to Line segment AC. Label the point of intersection between this perpendicular bisector and Line segment AC as point D: m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector. ∠BDA is congruent to ∠BDC by the _______________. Line segment AD is congruent to Line segment DC by _______________. ΔBAD is congruent to ΔBCD by the Angle-Side-Angle (ASA) Postulate. Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent (CPCTC). Consequently, ΔABC is isosceles by definition of an isosceles triangle.

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general 11 months ago 1482

This has 3 questions pls help will give brainliest!!! 1. Select from the drop-down menu to correctly identify the property shown: (-3.4+(-9.2))+(-5.6)=-(3.4+9.2)+-(5.6) Associative property , Communative property , Opposite of a sum property 2. The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 3/4x and 0.75x can find the sale price of the item? A. Multiplying by 4/3 Is the same as multiplying by 0.8 B. The fraction 3/4 Is the same as the decimal 0.w5 therefore, 3/5 can be written as 0.25x C. Multiplying by 3/4 Is the same as multiplying by 75% D. The expressions are not equivalent. 3. Caleb practices piano 20 minutes per day, and he practices guitar 30 minutes per day. Which expression represents the never of Caleb spends practicing instrument after d days A. 20+d+30+d B. 20d+30d C. 20 (30+d) D. d (20+30)

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general 11 months ago 3231