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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 5 Study Guide
For Questions 1-4, refer to the figure.
1. Name an angle bisector.
A ̅̅̅
𝐾𝐼
B ⃗⃗⃗⃗⃗
𝐺𝐿
C ⃡⃗⃗⃗⃗
𝐽𝑀
̅̅̅
D ̅𝐻𝐽
2. Name a median.
F ̅̅̅
𝐾𝐼
G ⃗⃗⃗⃗⃗
𝐺𝐿
H ⃡⃗⃗⃗⃗
𝐽𝑀
̅̅̅
J ̅𝐻𝐽
3. Name an altitude.
A ̅̅̅
𝐾𝐼
B ⃗⃗⃗⃗⃗
𝐺𝐿
C ⃡⃗⃗⃗⃗
𝐽𝑀
̅̅̅
D ̅𝐻𝐽
H ⃡⃗⃗⃗⃗
𝐽𝑀
̅̅̅
J ̅𝐻𝐽
4. Name a perpendicular bisector.
F ̅̅̅
𝐾𝐼
G ⃗⃗⃗⃗⃗
𝐺𝐿
For Questions 5-7, refer to the figure to determine
which is a true statement for the given information.
̅̅̅̅̅ is an angle bisector.
5. 𝑌𝑊
A ∠ YWZ is a right angle.
B ∠ XYW ≅ ∠ ZYW
C XW = WZ
D XY = ZY
̅̅̅̅̅ is an altitude.
6. 𝑌𝑊
F ∠ YWZ is a right angle.
G ∠ XYW ≅ ∠ ZYW
H XW = WZ
J XY = ZY
̅̅̅̅̅ is a median.
7. 𝑌𝑊
A ∠ YWZ is a right angle.
B ∠ XYW ≅ ∠ ZYW
C XW = WZ
D XY = ZY
8. Name the longest side of △ABC.
̅̅̅̅
̅̅̅̅
F 𝐴𝐵
H 𝐴𝐶
̅̅̅̅
G 𝐵𝐶
J cannot tell
9. Name the angle with greatest measure in △DEF.
A ∠D
C ∠F
B ∠E
D cannot tell
Chapter 5
51
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
14. Which angles are less than m∠5
15. Which angles are greater than m∠8
16. The incenter of a triangle is always located inside the triangle.
True
False
17. The centroid of a triangle is sometimes located outside the triangle.
True
False
18. The orthocenter of a triangle is always located inside the triangle.
True
False
19. The perpendicular bisectors of a triangle intersect at the circumcenter.
True
False
20. The incenter is equidistant from each side of the triangle.
True
False
21. The centroid of a triangle is located two thirds of the distance from each vertex to the midpoint of the
opposite side.
True
False
22. Concurrent lines never intersect.
True
False
23. The altitudes of a triangle intersect at the orthocenter.
True
False
24. The point of concurrency of the medians of a triangle is called the incenter.
True
False
25. The point of concurrency is the point at which three or more lines intersect.
True
False
26. The circumcenter of a triangle is equidistant from the vertices of the triangle.
True
False
27. To find the centroid of a triangle, first construct the angle bisector.
True
False
28. The perpendicular bisectors of a triangle are concurrent lines.
True
False
29. The circumcenter of a triangle is always located inside the triangle.
True
False
Chapter 5
52
Glencoe Geometry