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Mixed geometry problems — Homework

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Mixed geometry problems — Homework

Solve each multi-step problem, showing every stage clearly.

  1. 1.A right triangle has legs 5 and 12 (hypotenuse 13). Dilate it by scale factor 4. Find the new hypotenuse two ways and confirm they match.
  2. 2.Two parallel lines are cut by a transversal, making one angle 130 degrees. Find its co-interior angle.
  3. 3.Point (5, -2) is reflected over the y-axis, then rotated 180 degrees about the origin. Find the final coordinates.
  4. 4.A cone has radius 4 and height 9. A cylinder has the same radius and height. Find both volumes in exact form.
  5. 5.A rectangular field 60 yards by 80 yards has a diagonal path across it. Find the diagonal length, then explain how this connects to the geometry you learned a few weeks ago.
🌲 Homeschool of the FutureEighth Grade · Math · week 34 homework