WorksheetsTopic 4: Review Part A - Parallelograms
Total questions: 10
Worksheet time: 7mins
Two pairs of parallel line form a parallelogram. Becki proved that angles 2 and 6 are congruent. She is first used corresponding angles created by a transversal and then alternate interior angles. Which pairs of angles could she use?
A. 1 and 2 then 5 and 6
B. 4 and 2 then 4 and 6
C. 7 and 2 then 7 and 6
D. 8 and 2 then 8 and 6
To prove that diagonals of a parallelogram bisect each other, Xavier first wants to establish that triangles APD and CPB are congruent. Which criterion and elements can he use?
A. SAS: sides AP & PD and CP & PB with the angles in between
B. SAS: sides AD & AP and CB & CP with the angles in between
C. ASA: sides DP and PB with adjacent angles
D. ASA: sides AD and BC with adjacent angles
Ms. Davis gave her students all the steps of the proof below. One step is not needed. Which step is not necessary to complete this proof?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Clarissa is writing a proof to show that the diagonals of a parallelogram bisect each other. She is using the figure. Which of the following statements should be used in Clarissa’s proof? Select all that apply.
AB∥CD
AB≅CD
AE+ED=BE+EC
∠DEC≅∠BEA
∆ABE≅∆CDE
In the diagram below of parallelogram 𝑆𝑇𝑈𝑉, 𝑆𝑉 = 𝑥 + 3, 𝑉𝑈 = 2𝑥 − 1, and 𝑇𝑈 = 4𝑥 − 3. What is the length of ̅𝑆̅̅𝑉̅?
(a)
𝐸𝐹𝐺𝐻 is a rhombus. Find 𝐷𝐻.
(a)
Quadrilateral 𝐴𝐵𝐷𝐶 is a parallelogram. Find the value of 𝑥.
(a)
Which statement about parallelograms is always true?
1) The diagonals are congruent.
2) The diagonals bisect each other.
3) The diagonals are perpendicular.
4) The diagonals bisect their respective angles.
Which statement is true about every parallelogram?
1) All four sides are congruent.
2) The interior angles are all congruent.
3) Two pairs of opposite sides are congruent.
4) The diagonals are perpendicular to each other.
In parallelogram QRST, diagonal QS is drawn. Which statement must always be true?
1) Δ QRS is an isosceles triangle.
2) Δ STQ is an acute triangle.
3) ΔSTQ≅ΔQRS
4) QS ≅ QT
