Geometry
Geometry Name _______________
Practice Test
Unit 2 Period _____
1. Find the measure of each angle in the diagram. What geometric relationship did you use to find angles c, g, and k.
Explanation for (c:
Explanation for (g:
Explanation for (k:
2. Draw in two different heights for each figure.
a) parallelogram b) triangle
|Answers |
|50° (x2) |
|55° (x4) |
|75° (x2) |
|104 |
|125° (x2) |
|130 |
|150 |
[pic] [pic]
3. Find the area for each of the following.
|a) parallelogram |b) trapezoid |
|[pic] |[pic] |
4. Solve for x:
a) [pic] b) [pic]
5. Can a triangle have sides of length 8 feet, 15 feet, and 6 feet? Explain your reasoning.
|6. Two sides of a triangle have lengths of 10 feet and 4 feet. Give a range of|7. What name is given to the principle illustrated in |
|possible lengths for the third side. |problems 5 and 6? |
|8. Plot the points A(2, 2), B(5, 2), and C(4, 5). |[pic] |
|a) Reflect ΔABC across the x-axis and draw ΔA'B'C'. | |
|b) Rotate ΔABC 90° around the origin counterclockwise and make | |
|ΔA"B"C". | |
|c) Translate ΔABC so that the new coordinates of C are (−3, 0). | |
9. Show the dissections or subproblems that would give the area of the shaded region, then find its area.
|Answers |
|2 |
|3 |
|72 |
|(-6, -9 ) |
|(20, 34) |
[pic]
10. Where do the following two lines cross? Justify your response.
a) y = 3x+9 b) y = 2x − 6
y = x-3 3y − 5x = 2
|11. If the m∠1 = 120, then find the measures of the other angles and give the reasons |[pic] |
|justifying your answers. | |
| |Reason |
|m∠1=120 |Given information |
|m∠2= | |
|m∠3= | |
|m∠4= | |
|m∠5= | |
|m∠6= | |
|m∠7= | |
|m∠8= | |
12. Graph y = − x + 8 and y = x − 4 using the axes below. Then find the area of the figure enclosed by the two lines and the y-axis.
|Answers |
|36 |
|60° (x4) |
|120° (x3) |
[pic]
-----------------------
|Angle |Measure |
|a | |
|b | |
|c | |
|d | |
|e | |
|f | |
|g | |
|h | |
|i | |
|j | |
|k | |
e
b
c
d
a
f
g
h
i
j
k
50°
125°
................
................
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