Title: (Canvas-Quiz) 3-5_Triangle Segment Relationships & General Review
Course: HBUHSD Geometry Resource Course > Section: Unit 4: Similarity

Q: Points B, D, and F are midpoints of the sides of EC = 30 and DF = 17. Find AC.
The diagram is not to scale.
- 60
- 30
- 34
- 8.5
A: 34

Q: Find the value of x.
- 7
- 11.5
- 8
- 10
A: 8

Q: Find the value of x. The diagram is not to scale.
- 90
- 70
- 35
- 48
A: 70

Q: B is the midpoint of D is the midpoint of and AE = 21. Find BD. The diagram is not to scale.
- 42
- 21
- 11.5
- 10.5
A: 10.5

Q: Find the length of the midsegment. The diagram is not to scale.
- 24
- 0
- 42
- 84
A: 42

Q: Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
- 75 ft
- 150 ft
- 35.5 ft
- 37.5 ft
A: 75 ft

Q: Use the information in the diagram to determine the measure of the angle x formed by the line from the point on the ground to the top of the building and the side of the building. The diagram is not to scale.
- 52°
- 26°
- 104°
- 38°
A: 52°

Q: A triangular side of the Transamerica Pyramid Building in San Francisco, California, is 149 feet at its base. If the distance from a base corner of the building to its peak is 859 feet, how wide is the triangle halfway to the top?
- 298 ft
- 74.5 ft
- 149 ft
- 429.5 ft
A: 74.5 ft

Q: Which statement is not necessarily true?

Given: is the ^ bisector of
- DK = KE
- K is the midpoint of .
- DJ = DL
A: DK = KE

Q: The length of is shown. What other length can you determine for this diagram?
- DF = 12
- EF = 6
- DG = 6
- No other length can be determined.
A: EF = 6

Q: Which statement can you conclude is true from the given information?

Given: is the perpendicular bisector of
- AJ = BJ
- is a right angle.
- IJ = JK
- A is the midpoint of .
A: IJ = JK

Q: bisects Find the value of x. The diagram is not to scale.
- 285
- 32
- 19
A: 19

Q: Q is equidistant from the sides of Find The diagram is not to scale.
- 21
- 42
- 4
- 8
A: 42

Q: bisects Find FG. The diagram is not to scale.
- 15
- 14
- 19
- 28
A: 14

Q: Q is equidistant from the sides of Find the value of x. The diagram is not to scale.
- 2
- 12
- 14
- 24
A: 2

Q: Which diagram shows a point P an equal distance from points A, B, and C?
A: (a choice with no text)

Q: Find the circumcenter of the triangle.
- (–2, )
- (, –1)
- (, )
- (, )
A: (, )

Q: Find the circumcenter of with E(4, 4), F(4, 2), and G(8, 2).
- (6, 3)
- (4, 2)
- (4, 4)
- (3, 6)
A: (6, 3)

Q: Where is the circumcenter of any given triangle?
- the point of concurrency of the altitudes of the triangle
- the point of concurrency of the perpendicular bisectors of the sides of the triangle
- the point of concurrency of the bisectors of the angles of the triangle
- the point of concurrency of the medians of the triangle
A: the point of concurrency of the perpendicular bisectors of the sides of the triangle

Q: Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
- I only
- II only
- I or II only
- I, II, or II
A: II only

Q: Name the point of concurrency of the angle bisectors.
- A
- B
- C
- not shown
A: C

Q: Where can the bisectors of the angles of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
- I only
- III only
- I or III only
- I, II, or II
A: I only

Q: Find the length of , given that is a median of the triangle and AC = 26.
- 13
- 26
- 52
- not enough information
A: 13

Q: In DACE, G is the centroid and BE = 18. Find BG and GE.
- BG = , GE =
- BG = , GE =
A: (a choice with no text)

Q: In centroid D is on median . and Find AM.
- 13
- 12
A: 12

Q: Where can the lines containing the altitudes of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
- I only
- I or II only
- III only
- I, II, or II
A: III only

Q: Name a median for
A: (a choice with no text)

Q: What is the name of the segment inside the large triangle?
- altitude
- perpendicular bisector
- angle bisector
- median
A: altitude

Q: Where can the medians of a triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
- I only
- III only
- I or III only
- I, II, or II
A: I only

Q: For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes
- incenter
circumcenter
centroid
orthocenter
- circumcenter
incenter
centroid
orthocenter
- circumcenter
incenter
orthocenter
centroid
- incenter
circumcenter
orthocenter
centroid
A: circumcenter
incenter
centroid
orthocenter

Q: What is the orthocenter of the triangle with two altitudes given by the lines and ?
- none of these
A: (a choice with no text)

Q: has vertices Find the orthocenter of
A: (a choice with no text)

Q: What is the negation of this statement?
Miguel has three cats.
- Miguel does not like cats.
- The cat has three owners.
- Miguel does not have three cats.
- Miguel has no cats.
A: Miguel does not have three cats.

Q: Which two statements contradict each other?
I. Jon, Elizabeth, and Franco read 27 books among them for a class.
II. Franco read 6 books.
III. None of the three students read more than 7 books.
- I and II
- I and III
- II and III
- No two of the statements contradict each other.
A: I and III

Q: Which two statements contradict each other?
I. lies on plane PQR.
II. Point S lies on plane PQR.
III. does not lie on plane PQR.
- I and II
- I and III
- II and III
- No two of the statements contradict each other.
A: II and III

Q: Which labeled angle has the greatest measure? The diagram is not to scale.
- not enough information in the diagram
A: (a choice with no text)

Q: Name the smallest angle of The diagram is not to scale.
- Two angles are the same size and smaller than the third.
A: (a choice with no text)

Q: Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 156 ft from camera 2, which was 101 ft from camera 3. Cameras 1 and 3 were 130 ft apart. Which camera had to cover the greatest angle?
- camera 2
- camera 1
- camera 3
- cannot tell
A: camera 3

Q: Name the second largest of the four angles named in the figure (not drawn to scale) if the side included by and is 11 cm, the side included by and is 16 cm, and the side included by and is 14 cm.
A: (a choice with no text)

Q: and List the sides of in order from shortest to longest.
A: (a choice with no text)

Q: List the sides in order from shortest to longest. The diagram is not to scale.
A: (a choice with no text)

Q: Jay, Kay, and Ray found themselves far apart when they stopped for lunch while working in a field. Jay could see Kay, then turn through 73° and see Ray. Kay could see Ray, then turn through 53° and see Jay. Ray could see Jay, then turn through 54° and see Kay. Which two were farthest apart?
- Jay and Kay
- Ray and Jay
- Kay and Ray
- Kay and Ray were the same distance apart as Ray and Jay.
A: Kay and Ray

Q: Which three lengths CANNOT be the lengths of the sides of a triangle?
- 23 m, 17 m, 14 m
- 11 m, 11 m, 12 m
- 5 m, 7 m, 8 m
- 21 m, 6 m, 10 m
A: 21 m, 6 m, 10 m

Q: Which three lengths could be the lengths of the sides of a triangle?
- 12 cm, 5 cm, 17 cm
- 10 cm, 15 cm, 24 cm
- 9 cm, 22 cm, 11 cm
- 21 cm, 7 cm, 6 cm
A: 10 cm, 15 cm, 24 cm

Q: Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?
- at least 11 and less than 23
- at least 11 and at most 23
- greater than 11 and at most 23
- greater than 11 and less than 23
A: greater than 11 and less than 23

Q: Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?
- less than 25
- less than 10
- less than 15
- less than 5
A: less than 25

Q: Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x?
A: (a choice with no text)

Q: Which of the following must be true?
The diagram is not to scale.
A: (a choice with no text)

Q: If what is the relationship between
- not enough information
A: (a choice with no text)

Q: The folding chair can be set in different positions that change the angles formed by its parts. As angle 1 increases, how does the relationship change between the back of the chair and the front leg of the chair?
- As the measure of increases, the distance between the back of the chair and the front leg of the chair increases.
- As the measure of increases, the distance between the back of the chair and the front leg of the chair decreases.
- As the measure of increases, the distance between the back of the chair and the front leg of the chair remains constant.
A: As the measure of increases, the distance between the back of the chair and the front leg of the chair increases.

Q: What is the range of possible values for x?
The diagram is not to scale.
A: (a choice with no text)

Q: What is the range of possible values for x?
The diagram is not to scale.
A: (a choice with no text)

Q: What is the range of possible values for x?
A: (a choice with no text)

Q: What are the missing reasons in the two-column proof?
Given:
Prove:

Statements | Reasons
1. | 1. Given
2. | 2.  ?
3. | 3. Given
4. | 4.  ?
- 2. Symmetric Property
4. Hinge Theorem
- 2. Reflexive Property
4. Hinge Theorem
- 2. Reflexive Property
4. Converse of Hinge Theorem
- 2. Transitive Property
4. Converse of Hinge Theorem
A: 2. Reflexive Property
4. Hinge Theorem