Geometry chapter 5 review
 University
 Course
 Geometry – Chapter 5 Review
 A. 60
 B. 30
 C. 34
 D. 8.
 A. 7
 B. 11.
 C. 8
 D. 10
 A. 90
 B. 70
 C. 35
 D. 48
 A. 52 B. 26 C. 104 D. 38
 A. DF = 12
 B. EF = 6
 C. DG = 6
 B.
 C.
 D.
 A. 13
 B. 26
 C. 52
 A. BG 6, GE 12
 B. BG 12, GE 6
 C. BG = 412 , GE = 1312
 D. BG = 9 , GE = 9
 A. 3
 B. 4
 C. 2
 D. 1
 A. JK , LJ , LK
 B. LK , LJ , JK
 C. JK , LK , LJ
 D. LK , JK , LJ
 A. AB BC
 B. AC FH
 C. BC FH
 D. AC FH
 A. AD CD
 B. AD CD
 C. AD CD
 ID: A
 Geometry – Chapter 5 Review
 Answer Section
University
Campbell University
Course
Preview text
Name: ________________________ Class: ___________________ Date: __________ ID: A
Geometry – Chapter 5 Review
 Points B, D, and F are midpoints of the sides of ACE. EC = 30 and DF = 17. Find AC. The diagram is not to scale.
A. 60
B. 30
C. 34
D. 8.
 Find the value of x.
A. 7
B. 11.
C. 8
D. 10
 Find the value of x. The diagram is not to scale.
A. 90
B. 70
C. 35
D. 48
 Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
A. 75 ft B. 150 ft C. 35 ft D. 37 ft
Name: ________________________ ID: A
 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.
A. 52 B. 26 C. 104 D. 38
 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?
A. 298 ft B. 74 ft C. 149 ft D. 429 ft
 The length of DE is shown. What other length can you determine for this diagram?
A. DF = 12
B. EF = 6
C. DG = 6
D. No other length can be determined.
Name: ________________________ ID: A
 Which diagram shows a point P an equal distance from points A, B, and C? A.
B.
C.
D.
 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 A. I only B. II only C. I or II only D. I, II, or II
Name: ________________________ ID: A
 Name the point of concurrency of the angle bisectors.
A. A B. B C. C D. not shown
 Find the length of AB, given that DB is a median of the triangle and AC = 26.
A. 13
B. 26
C. 52
D. not enough information
 In ACE, G is the centroid and BE = 18. Find BG and GE.
A. BG 6, GE 12
B. BG 12, GE 6
C. BG = 412 , GE = 1312
D. BG = 9 , GE = 9
 In ABC, centroid D is on median AM. AD x 4 and DM 2 x 4. Find AM. A. 13 B. 4 C. 12 D. 6
Name: ________________________ ID: A
 Name the second largest of the four angles named in the figure (not drawn to scale) if the side included by 1 and 2 is 11 cm, the side included by 2 and 3 is 16 cm, and the side included by 3 and 1 is 14 cm.
A. 3
B. 4
C. 2
D. 1

mA 9 x 7, mB 7 x 9, and mC 28 2 x. List the sides of ABC in order from shortest to longest. A. AB; AC; BC B. BC ; AB; AC C. AC; AB; BC D. AB; BC ; AC

List the sides in order from shortest to longest. The diagram is not to scale.
A. JK , LJ , LK
B. LK , LJ , JK
C. JK , LK , LJ
D. LK , JK , LJ

Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D. 21 m, 6 m, 10 m

Which three lengths could be the lengths of the sides of a triangle? A. 12 cm, 5 cm, 17 cm B. 10 cm, 15 cm, 24 cm C. 9 cm, 22 cm, 11 cm D. 21 cm, 7 cm, 6 cm

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

Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x? A. 5 x 12 B. 7 x 5 C. 7 x 17 D. 7 x 12
Name: ________________________ ID: A
 Which of the following must be true? The diagram is not to scale.
A. AB BC
B. AC FH
C. BC FH
D. AC FH
 If mDBC 73 , what is the relationship between AD and CD?
A. AD CD
B. AD CD
C. AD CD
D. not enough information
 What is the range of possible values for x? The diagram is not to scale.
A. 0 x 54 B. 0 x 108 C. 0 x 27 D. 27 x 180
 What is the range of possible values for x? The diagram is not to scale.
A. 12 x 48 B. 0 x 10 C. 10 x 50 D. 10 x 43
ID: A
Geometry – Chapter 5 Review
Answer Section
 ANS: C PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 2 Finding Lengths KEY: midpoint  midsegment  Triangle Midsegment Theorem
 ANS: C PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 2 Finding Lengths KEY: midpoint  midsegment  Triangle Midsegment Theorem
 ANS: B PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 2 Finding Lengths KEY: midsegment  Triangle Midsegment Theorem
 ANS: A PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 3 Using a Midsegment of a Triangle KEY: midsegment  Triangle Midsegment Theorem  problem solving
 ANS: A PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 3 Using a Midsegment of a Triangle KEY: midsegment  Triangle Midsegment Theorem  problem solving
 ANS: B PTS: 1 DIF: L3 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 3 Using a Midsegment of a Triangle KEY: midsegment  Triangle Midsegment Theorem  word problem  problem solving
 ANS: B PTS: 1 DIF: L3 REF: 52 Perpendicular and Angle Bisectors OBJ: 52 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO CC G.CO CC G.SRT G.3 TOP: 52 Problem 1 Using the Perpendicular Bisector Theorem KEY: equidistant  perpendicular bisector  Perpendicular Bisector Theorem
 ANS: C PTS: 1 DIF: L3 REF: 52 Perpendicular and Angle Bisectors OBJ: 52 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO CC G.CO CC G.SRT G.3 TOP: 52 Problem 1 Using the Perpendicular Bisector Theorem KEY: equidistant  perpendicular bisector  Perpendicular Bisector Theorem  reasoning
 ANS: D PTS: 1 DIF: L3 REF: 52 Perpendicular and Angle Bisectors OBJ: 52 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO CC G.CO CC G.SRT G.3 TOP: 52 Problem 3 Using the Angle Bisector Theorem KEY: Angle Bisector Theorem  angle bisector
 ANS: B PTS: 1 DIF: L3 REF: 52 Perpendicular and Angle Bisectors OBJ: 52 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO CC G.CO CC G.SRT G.3 TOP: 52 Problem 3 Using the Angle Bisector Theorem KEY: Converse of the Angle Bisector Theorem  angle bisector
ID: A

ANS: A PTS: 1 DIF: L2 REF: 52 Perpendicular and Angle Bisectors OBJ: 52 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO CC G.CO CC G.SRT G.3 TOP: 52 Problem 3 Using the Angle Bisector Theorem KEY: angle bisector  Converse of the Angle Bisector Theorem

ANS: A PTS: 1 DIF: L2 REF: 53 Bisectors in Triangles OBJ: 53 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C G.3 TOP: 53 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle  circumscribe  point of concurrency

ANS: B PTS: 1 DIF: L4 REF: 53 Bisectors in Triangles OBJ: 53 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C G.3 TOP: 53 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle  perpendicular bisector  reasoning  right triangle

ANS: C PTS: 1 DIF: L3 REF: 53 Bisectors in Triangles OBJ: 53 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C G.3 TOP: 53 Problem 3 Identifying and Using the Incenter of a Triangle KEY: angle bisector  incenter of the triangle  point of concurrency

ANS: A PTS: 1 DIF: L2 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 1 Finding the Length of a Median KEY: median of a triangle

ANS: A PTS: 1 DIF: L3 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 1 Finding the Length of a Median KEY: centroid of a triangle  median of a triangle

ANS: C PTS: 1 DIF: L4 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 1 Finding the Length of a Median KEY: centroid of a triangle  median of a triangle

ANS: D PTS: 1 DIF: L3 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 2 Identifying Medians and Altitudes KEY: median of a triangle

ANS: A PTS: 1 DIF: L3 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 2 Identifying Medians and Altitudes KEY: median of a triangle  centroid of a triangle  reasoning

ANS: B PTS: 1 DIF: L3 REF: 54 Medians and Altitudes OBJ: 54 To identify properties of medians and altitudes of a triangle NAT: CC G.CO G.3 TOP: 54 Problem 3 Finding the Orthocenter KEY: angle bisector  circumcenter of the triangle  centroid of a triangle  orthocenter of the triangle  median  altitude of a triangle  perpendicular bisector

ANS: C PTS: 1 DIF: L2 REF: 56 Inequalities in One Triangle OBJ: 56 To use inequalities involving angles and sides of triangles NAT: CC G.CO G.3 TOP: 56 Problem 1 Applying the Corollary KEY: corollary to the Triangle Exterior Angle Theorem
ID: A
35. ANS:
BD AE, DF AC, BF CE
PTS: 1 DIF: L2 REF: 51 Midsegments of Triangles OBJ: 51 To use properties of midsegments to solve problems NAT: CC G.CO CC G.SRT G.3 TOP: 51 Problem 1 Identifying Parallel Segments KEY: midsegment  parallel lines  Triangle Midsegment Theorem
Geometry chapter 5 review