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Geometry
Chapter 6 Test
Name__________________________________
1. What is the most precise name of the quadrilateral with the vertices 𝐴(0,6), 𝐵(3,3), 𝐶(0, −5) and
𝐷(−3,3)?
2. Find 𝑄𝑉 in the given parallelogram. Justify your answer.
3. Name the following figure. Find the value of the variable in the following figure.
4. Name the figure below. Then find the values of 𝑥 and 𝑦. Justify your answer.
5. Give the coordinates for points 𝐷 and 𝐸 without any new variables. Then find the coordinates of
the midpoint ̅̅̅̅
𝐷𝐸.
a.
b.
6. Name the following figure. Find the measures of ∠1 and ∠2.
7. Find the values of 𝑥 and 𝑦 for which the figure must be a parallelogram. Then find the length of
each side of the parallelogram.
8. Find the value of 𝑥. Then find the length of the sides in rhombus 𝐴𝐵𝐶𝐷.
9. Find the measures of the numbered angles in the given isosceles trapezoid.
10. Find the value of 𝑥. Then tell whether the figure must be a parallelogram. Explain your answer.
11. Complete the coordinates 𝐷 and 𝐶 for rectangle 𝐷𝐻𝐶𝑃.
Then use coordinate geometry to prove the following
statement: The diagonals of a rectangle are congruent
(Theorem 6.11).
Given: Rectangle 𝐷𝐻𝐶𝑃
̅̅̅̅ = 𝐻𝑃
̅̅̅̅
Prove: 𝐷𝐶
Proof:
12. What was the assignment on January 28, 2016?
13. Book Cover?