Quadrilateral proofs: fill in the missing step or reason
Grade 10 Math Worksheet - Building Confidence
Circle the best answer.
Milo draws a leaning window frame DFGH, a parallelogram. Which reason fills the blank?
- Definition of midpoint
- Given
- Definition of parallelogram
- Parallelogram opposite sides theorem
Noah sketches a slanted door panel DFGH, a parallelogram. Which reason fills the blank?
- Given
- Parallelogram opposite sides theorem
- Reflexive property
- Definition of parallelogram
Pia cuts a parallelogram tile DFGH for a floor pattern. Which reason fills the blank?
- Parallelogram consecutive angles theorem
- Definition of rectangle
- Parallelogram opposite angles theorem
- Given
Ren builds a parallelogram frame DFGH with two sticks crossing at Q. Which reason fills the blank?
- Parallelogram diagonals theorem
- Definition of midpoint
- Rectangle diagonals theorem
- Given
Tala flies a rhombus-shaped kite DFGH whose sticks cross at Q. Which reason fills the blank?
- Given
- Rectangle diagonals theorem
- Parallelogram diagonals theorem
- Rhombus diagonals theorem
Ari lays a parallelogram rug DFGH on a floor. Which reason fills the blank?
- Parallelogram opposite angles theorem
- Parallelogram consecutive angles theorem
- Given
- Definition of rectangle
Bo sews a parallelogram quilt patch DFGH. Which reason fills the blank?
- Parallelogram opposite angles theorem
- Definition of rectangle
- Midsegment theorem
- Parallelogram consecutive angles theorem
Esme ties string across a parallelogram box lid DFGH, corner to corner. Which statement fills the blank?
- DQ ≅ FQ and QG ≅ QH
- DG ≅ FH
- DQ ≅ QG and FQ ≅ QH
- Q is the midpoint of DG
Jun traces the cover of a book, rectangle DFGH. Which statement fills the blank?
- DG ⊥ FH
- DF ≅ DH
- ∠HDF is a right angle
- m∠HDF = 90
Luz folds a parallelogram flap DFGH on an envelope. Which statement fills the blank?
- FG ∥ GH
- FG = HD
- FG ≅ GH
- FG ≅ HD