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Tenth Grade (Grade 10) Points, Lines, and Planes Questions

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Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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What is the reason we can conclude, including the information from parts A - C, that m∠1=m∠5, (and therefore, that ∠1≅∠5 by the definition of congruent angles).
  1. Substitution Property of Equality.
  2. Congruent Supplements Theorem.
  3. Rigid transformations preserve angle measure.
  4. Given by the diagram.
Grade 10 Points, Lines, and Planes
A straight angle = 180 degrees.
  1. True
  2. False
Grade 10 Points, Lines, and Planes
Points that lie on the same plane are called coplanar.
  1. True
  2. False
Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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What is the missing reason in step 9?
  1. SSS
  2. ASA
  3. HL
  4. SAS
Grade 10 Points, Lines, and Planes CCSS: HSG-CO.A.1
A continuous set of points.
  1. Curve
  2. Ray
  3. Segment
  4. Half-line
  5. All of the above
Grade 10 Points, Lines, and Planes
→QR intersects ¯AB at Q and bisects ¯AB. Which conjecture is valid?
  1. ¯AB=¯RQ
  2. R is on the segment with A and B
  3. m∠RQA=m∠RQB
  4. ¯AQ=¯QB
Grade 10 Points, Lines, and Planes
Three points are                 coplanar.
  1. Sometimes
  2. Always
  3. Never
Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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If one were to perform a translation by vector →AB, what would this vector look like, in terms of separate horizontal and vertical translations? (Assume that m∠4<m∠3 for this purpose.)
  1. Translate down by the distance between lines k and m and translate left by the horizontal distance between A and B.
  2. Translate up by the distance between lines k and m and translate left by the horizontal distance between A and B.
  3. Translate up by the distance between lines k and m and translate right by the horizontal distance between A and B.
  4. Translate down by the distance between lines k and m and translate right by the horizontal distance between A and B.
Grade 10 Points, Lines, and Planes
Non-coplanar points are those that do not lie on the same line.
  1. True
  2. False
Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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If the upper half plane (everything above line h, not pictured) is translated by the vector →AB, which of the following is true? There may be more than one correct answer.
  1. A maps to B.
  2. k maps to m.
  3. m maps to a new line, but parallel to itself.
  4. t maps to t.
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