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?