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Tenth Grade (Grade 10) Quadrilaterals Questions

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Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

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What is the missing reason in step 8?
  1. Parallel Postulate
  2. Supplementary angles
  3. Same side interior angles are supplementary
  4. Linear Pairs are supplementary
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing statement in step 4?
  1. m∠AFB+m∠BFE=m∠AFE
  2. 90°+90°=180°
  3. m∠AFB+90°=180°
  4. 90°+m∠BFE=180°
Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

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What is the missing reason in step 20?
  1. Parallelogram with four right angles is a rectangle
  2. Image given is a rectangle
  3. Quadrilateral with opposite sides parallel and congruent is a rectangle
  4. QED
Grade 10 Quadrilaterals
Given parallelogram ABCD, m∠A=30, find the sum of the next two consecutive angles.
  1. 60
  2. 90
  3. 120
  4. 180
  5. 240
  6. 360
  7. The sum of the consecutive angles is congruent to the difference of the opposite angles.
  8. Cannot be determined from given information.
Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

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What is the missing reason in step 15?
  1. Given
  2. Opposite sides of a parallelogram are parallel
  3. From the diagram
  4. Opposite sides of a rectangle are parallel
Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

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What is the missing statement in step 5?
  1. ΔABC≅ΔDCB
  2. ΔABD≅ΔDCA
  3. ΔADC≅ΔACB
  4. ΔABD≅ΔDCB
Grade 10 Quadrilaterals CCSS: HSG-SRT.B.5

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What is the missing reason in step 3?
  1. The sum of the angles on a straight line is 180°
  2. ∠ABF and ∠BFE are complimentary
  3. Right angles are congruent
  4. ∠AFB≅∠BFE
Grade 10 Quadrilaterals
Concrete workers are busy preparing to pour a rectangular patio in Mr. Christian's backyard. The workers have laid out, using boards, what appears to be a rectangle to frame where the cement will go. What could the workers do to ensure the patio is really rectangular before pouring the cement?
  1. Determine if the opposite sides are congruent.
  2. Determine if the diagonals are congruent.
  3. Determine if the opposite angles are congruent.
  4. Determine if the diagonals are perpendicular.
Grade 10 Quadrilaterals CCSS: HSG-CO.C.11

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What is the missing statement in step 14?
  1. ∠BAD and ∠CDA are right angles
  2. ¯BA⊥¯AD
  3. ¯CD⊥¯AD
  4. m∠BAD=m∠CDA
Grade 10 Quadrilaterals

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If AD = 14 and BC = 9, find the length of median PQ. Show your work.
Grade 10 Quadrilaterals
Which of the following is NOT true for square ABCD whose diagonals intersect at E?
  1. m∠ABC=90°
  2. m∠ABE=45°
  3. m∠AED=45°
  4. m∠CED=90°
  5. m∠BCE=45°
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