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Tenth Grade (Grade 10) Two Dimensional Shapes Questions

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Grade 10 Circles

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Given the work in steps B - H to show that two circles are similar, could we use this to show that any two spheres are similar? If so, what needs to be changed or added?
  1. No, this is not possible.
  2. Yes, by starting with spheres, and projecting them onto the xy-plane, we can then follow the steps already established.
  3. Yes, but we would need to perform completely different transformations since we are now working in three dimensions.
  4. Yes, start with spheres instead of circles and then follow nearly identical steps.
Grade 10 Quadrilaterals
Which of the following is NOT true for all parallelograms?
  1. opposite sides are congruent
  2. opposite angles are congruent
  3. diagonals bisect each other
  4. consecutive angles are congruent
Grade 10 Two Dimensional Shapes
Which theorem states," Any simple closed curve divides a plane into two disjoint sets: an interior and an exterior, with the curve as the boundary"?
  1. Midpoint theorem
  2. Jordan Curve theorem
  3. Expansion theorem
  4. Ruler theorem
Grade 10 Circles

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Not only are all circles similar, but all spheres are similar as well. Are these two facts related? Why or why not?
  1. No, it is just chance.
  2. No, a circle is two dimensional and a sphere is three dimensional.
  3. Yes, the reason being that both for circles and spheres, their shape is always the same and their size depends on the radius.
  4. Yes, the reason being that both are not polygons.
Grade 10 Quadrilaterals
A rhombus is a type of isosceles trapezoid.
  1. True
  2. False
Grade 10 Quadrilaterals
In quadrilateral ABCD, if AB≅CD and AD≅BC, then diagonals AC and BD must                  .
  1. be parallel
  2. be perpendicular
  3. bisect each other
  4. be congruent
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing reason in step 12?
  1. If 2 parallel lines are cut by a transversal, alternate angles are supplementary
  2. If 2 parallel lines are cut by a transversal, consecutive exterior angles are supplementary
  3. If 2 parallel lines are cut by a transversal, alternate interior angles are congruent
  4. If 2 parallel lines are cut by a transversal, consecutive interior angles are supplementary
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 8?
  1. ∠AFB≅∠BFE
  2. ∠AFB≅∠EDC
  3. ∠BAF≅∠EDC
  4. ∠BAF≅∠ECD
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