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## Summative Review

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**Summative Review**• Part 1 – Triangles • Part 2 – Lines, Rays, Angles • Part 3 – Polygons • Part 4 – Coordinate Geometry • Part 5 – Similarity • Part 6 – Miscellaneous**Please Take Out Worksheet From Yesterday and Continue**Working! Grab your calculators if needed! (We will go over Part 1 Today)**14. The angle of inclination from an ants eye**to the top of 75ft building is 42°, how far is the ant from the building? 15. An equilateral triangle has a side length of 6cm. Find the area of the triangle. Draw a picture and show your computations.**Part 3 – Polygons**• Find the sum of the measures of the interior angles • of a regular hexagon. **2. Find the measure of an interior angle of a regular pentagon. Show or explain your work. 3. What is the sum of the measures of the exterior angles of any polygon?**Which convex polygon’s interior angles has the same**• sum as the exterior angles? How do you know? **5. Find the measure of an exterior angle of a regular octagon. Show or explain your work.**Matt says that every quadrilateral with congruent**• diagonals is a square. Name a figure that can • be used to disprove Matt’s statement. • Which quadrilaterals could be classified as • parallelograms? (trapezoid, rhombus, square, • kite, rectangle)**Part 4 – Coordinate Geometry**1) a) If triangle TRY is REFLECTED, what are the coordinates of Y? b) If triangle TRY is TRANSLATED, what are the coordinates of Y?**2) A circle is drawn on a grid. The endpoints of a diameter**of the circle are (-2,17) and (8, 11). What are the coordinates of the center of the circle?****3) Given the diagram:**a) Write an equation of a line that is PARALLEL to the line below and through the point k. b) Write an equation of a line that is PERPENDICULAR to the line below and through k.**Part 5 – Similarity**• In the figure on the right, • ABCD is similar to DGFE. • Find the length of CD.**2. Two circles have radii in the ratio 3:2.**The larger circle has radii 12, what is the circumference of the smaller circle?****3. In the figures below, ABCDE is**similar to HIJKL, what is the length of HI? What is the perimeter of HIJKL?**Part 6 – Miscellaneous**• In the figure shown, <MQN is congruent to <POQ • and segment NQ is congruent to segment OQ. Explain why ΔMNQ is congruent to ΔPOQ. Use geometric theorems or postulates in your explanation.**A signed Jermaine Dye 2005 World Series baseball**• is in a cubic display box. The ball has radius 3 inches • and is snug in the box. What is the volume of space in • the box that is not being occupied by Dye’s ball?