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Honors Geometry Midterm Review Packet
Date of Midterm __________________________
Define each of the following words:
1. Parallel lines-
2. Perpendicular lines-
3. Skew lines-
4. Parallel Planes-
Classify the relationship between each pair of angles as alternate interior, alternate exterior, orresponding,
or consecutive interior angles.
5. 4 and 5
6. 5 and 11
7. 4 and 6
8. 7 and 9
9. 2 and 8
10. 3 and 6
11. 1 and 9
12. 3 and 9
13. 6 and 12
14. 7 and 11
15. MULTIPLE CHOICE: Which relationship between lines 𝑙 and 𝑚 can be determined by the figure below?
A. 𝑙 ≅ 𝑚
B. 𝑙 ⊥ 𝑚
C. 𝑙 ∥ 𝑚
D. 𝑙 = 𝑚
16. Find x and the length of each side if △FGH is an equilateral triangle.
Justify each statement with a property of equality, a property of congruence, or a postulate.
17. QA = QA
̅̅̅̅ and 𝐵𝐶
̅̅̅̅ ≅ ̅̅̅̅
18. If ̅̅̅̅
𝐴𝐵 ≅ 𝐵𝐶
𝐶𝐸 then ̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐶𝐸 .
19. If Q is between P and R, then PR = PQ + QR.
20. If AB + BC = EF + FG and AB + BC = AC, then EF + FG = AC.
Show that polygons are congruent by identifying all congruent corresponding parts. Then write a
congruence statement.
21.
22.
ALGEBRA Find the value of each variable.
23.
24.
25. Graph both triangles on the same coordinate plane. Determine whether △ABC ≅ △KLM. Explain.
A(–3, 3), B(–1, 3), C(–3, 1), K(1, 4), L(3, 4), M(1, 6)
26. Find x so that ℓ ∥ 𝑚. Show your work.
27. Write an equation in slope-intercept form for a line perpendicular to the line y = 4x + 3 and
through the point (-2, -6).
28. Find the slope of the line that is parallel to the graph of 4x + 2y = 14.
29. If m∠1 = m∠2, determine which lines, if any, are parallel. State the postulate or theorem that justifies
your answer.
30. Find x so that 𝑙 ∥ 𝑚. Identify the postulate or theorem you used.
31. Find the surface area of each solid. Round to the nearest tenth.
32. Find the volume of each solid. Round to the nearest tenth.
Open- Ended Review
33. Prove the following using a two-column proof or a flow proof.
34. Prove the following using a two-column proof or a flow proof.
35 & 36
37.