10.1-10.2 Homework (Due ___________)
Name _______________________
P ______ Date ________________
10.1
For 1 – 3, show that each figure is the given type of quadrilateral.
.
1.
2.
3.
For 4 – 7, find the missing vertex in each parallelogram.
4.
5.
6.
For 7 – 8, explain whether the quadrilateral determined by the intersections of the given lines is a trapezoid, a
parallelogram, both, or neither.
7.
8.
10.2
For 1 – 3, show that each figure is the given type of quadrilateral.
1.
2.
3.
For 6 – 8, determine whether the quadrilateral with the given vertices is a parallelogram. If so, determine whether it is a
rhombus, a rectangle, or neither. Justify your conclusions. (Hint: Recall that a parallelogram with perpendicular
diagonals is a rhombus. You may also want to use some graph paper.)
10.4 Homework (Due ____________________)
Name _______________________
P ______ Date ________________
10.5 Homework (Due ____________________)
For 1 – 8, find the area and perimeter of each figure.
Name _______________________
P ______ Date ________________
9.
10.
NAME:_____________________
P______DATE:_______________
Chapter 10 Test Review
1.
Prove that ABCD is a parallelogram.
3. Prove that ABCD is a trapezoid.
2. Prove that parallelogram WXYZ is a rectangle.
4. Prove that ABCD is a rectangle.
5. Find the missing vertices of
the parallelogram.
6.
Find the missing vertex of the parallelogram
with 3 vertices at A(3,2) B(5,-3) C(1,-3).
7. Prove that ABCD is a parallelogram.
8. Analyze the systems of equations and classify the described quadrilateral.
Street
Equation
Rhombus Street
-x + 2y = 14
Rectangle Street
30 + y = -2x + 40
Square Street
Parallelogram Street
1
𝑥 − 𝑦 = 20
2
2y + 6 = -4x
For problems 9 and 10, prove or disprove the statement about the quadrilateral ABCD.
9. ABCD is a rhombus.
10. The diagonals of ABCD are
perpendicular.
11. Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square.
Give all the names that apply. Show all your work.
A(5, 5) B(5, -5) C(-5, -5) D(5, 5)
Use the graph below to answer questions 12 and 13.
12. Find the area and perimeter of parallelogram ABCD
13. Find the area and perimeter of triangle RST.
For problems of 14-17, find the perimeter and area of the quadrilateral.
14.
15.
16.
17.