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Geometry Review: Triangles, Slope, and Congruence Concepts

This geometry review covers essential topics such as identifying special triangle segments including altitude, angle bisector, median, and perpendicular bisector. It also involves classifying triangles based on side lengths and angles, using the slope formula to find slopes of lines between given points, and determining congruency between two triangles. Furthermore, the review requires solving equations and understanding geometric concepts such as line segments and their properties. Perfect for students preparing for exams or needing a refresher on geometry fundamentals.

francesca-sereno
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Geometry Review: Triangles, Slope, and Congruence Concepts

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  1. . #18 . . ~ . Name: Period: For questions 1 through 4 use the word bank to correct identify each special triangle segment. Altitude Angle Bisector Median Perpendicular Bisector # 2 # 3 # 4 # 1 4 cm Classify the triangle to the right based on its sides and angles: # 5 5 cm 3 cm Use the slope formula to determine the slope of the line containing the points (-3, 6) and (5, -12). #6 # 7 Using the slope from question #6, identify the perpendicular slope of the line. Solve for x: 13 – 3x = x + 5 # 8 What is the slope of the following equation: 4x + 5y = - 20 # 9 B Given the figure to the right, what is the length of DE? # 10 E D A C 6 cm

  2. π . #18b . . . For questions 11-13 decide if the two triangles are congruent. If they are congruent, justify your answer. E A A C # 11 # 12 # 13 E A D D B B B D C ~ ~ ∆ABC = ∆DCB T or F C ~ ∆ADE = ∆ABC T or F ∆ADE = ∆ABC T or F Justification Justification Justification D A # 14 Line segment BD represents the _____________ of ΔABC: altitude, angle bisector, median, perpendicular bisector (circle one) B C Solve the following equation for x: 4x + 12 = 6x – 8 # 15 Given a line segment with endpoints located at (-6, 1) and (3, -4), determine the equation for the perpendicular bisector. # 16 Define the word counterexample. ____________________________________________________ ___________________________________________________________________________________. # 17 Segment AB has endpoints located at A (-5, 7) and B (6, 2). Determine the approximate length of the radius. Round to the nearest hundredth. # 18

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