# Geometry chapter 5 review

Geometry Chapter 5 Part 1 Test Review
Geometry Chapter 5 Part 1 Test Review

Geometry chapter 5 review

## University

Campbell University

## Course

### Preview text

Name: ________________________ Class: ___________________ Date: __________ ID: A

## Geometry – Chapter 5 Review

1. 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.

### D. 8.

1. Find the value of x.

### D. 10

1. Find the value of x. The diagram is not to scale.

### D. 48

1. 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

1. 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

1. 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

1. The length of DE is shown. What other length can you determine for this diagram?

### C. DG = 6

D. No other length can be determined.

Name: ________________________ ID: A

1. Which diagram shows a point P an equal distance from points A, B, and C? A.

### D.

1. 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

1. Name the point of concurrency of the angle bisectors.

A. A B. B C. C D. not shown

1. Find the length of AB, given that DB is a median of the triangle and AC = 26.

### C. 52

D. not enough information

1. In ACE, G is the centroid and BE = 18. Find BG and GE.

### D. BG = 9 , GE = 9

1. 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

1. 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.

### D. 1

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

2. List the sides in order from shortest to longest. The diagram is not to scale.

### D. LK , JK , LJ

1. 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

2. 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

3. 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

4. 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

1. Which of the following must be true? The diagram is not to scale.

### D. AC FH

1. If mDBC 73 , what is the relationship between AD and CD?

D. not enough information

1. 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

1. 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

## Geometry – Chapter 5 Review

1. ANS: C PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment Theorem
2. ANS: C PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 2 Finding Lengths KEY: midpoint | midsegment | Triangle Midsegment Theorem
3. ANS: B PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 2 Finding Lengths KEY: midsegment | Triangle Midsegment Theorem
4. ANS: A PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 3 Using a Midsegment of a Triangle KEY: midsegment | Triangle Midsegment Theorem | problem solving
5. ANS: A PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 3 Using a Midsegment of a Triangle KEY: midsegment | Triangle Midsegment Theorem | problem solving
6. ANS: B PTS: 1 DIF: L3 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 3 Using a Midsegment of a Triangle KEY: midsegment | Triangle Midsegment Theorem | word problem | problem solving
7. ANS: B PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO| CC G.CO| CC G.SRT| G.3 TOP: 5-2 Problem 1 Using the Perpendicular Bisector Theorem KEY: equidistant | perpendicular bisector | Perpendicular Bisector Theorem
8. ANS: C PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO| CC G.CO| CC G.SRT| G.3 TOP: 5-2 Problem 1 Using the Perpendicular Bisector Theorem KEY: equidistant | perpendicular bisector | Perpendicular Bisector Theorem | reasoning
9. ANS: D PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO| CC G.CO| CC G.SRT| G.3 TOP: 5-2 Problem 3 Using the Angle Bisector Theorem KEY: Angle Bisector Theorem | angle bisector
10. ANS: B PTS: 1 DIF: L3 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO| CC G.CO| CC G.SRT| G.3 TOP: 5-2 Problem 3 Using the Angle Bisector Theorem KEY: Converse of the Angle Bisector Theorem | angle bisector

### ID: A

1. ANS: A PTS: 1 DIF: L2 REF: 5-2 Perpendicular and Angle Bisectors OBJ: 5-2 To use properties of perpendicular bisectors and angle bisectors NAT: CC G.CO| CC G.CO| CC G.SRT| G.3 TOP: 5-2 Problem 3 Using the Angle Bisector Theorem KEY: angle bisector | Converse of the Angle Bisector Theorem

2. ANS: A PTS: 1 DIF: L2 REF: 5-3 Bisectors in Triangles OBJ: 5-3 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C| G.3 TOP: 5-3 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle | circumscribe | point of concurrency

3. ANS: B PTS: 1 DIF: L4 REF: 5-3 Bisectors in Triangles OBJ: 5-3 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C| G.3 TOP: 5-3 Problem 1 Finding the Circumcenter of a Triangle KEY: circumcenter of the triangle | perpendicular bisector | reasoning | right triangle

4. ANS: C PTS: 1 DIF: L3 REF: 5-3 Bisectors in Triangles OBJ: 5-3 To identify properties of perpendicular bisectors and angle bisectors NAT: CC G.C| G.3 TOP: 5-3 Problem 3 Identifying and Using the Incenter of a Triangle KEY: angle bisector | incenter of the triangle | point of concurrency

5. ANS: A PTS: 1 DIF: L2 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 Problem 1 Finding the Length of a Median KEY: median of a triangle

6. ANS: A PTS: 1 DIF: L3 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 Problem 1 Finding the Length of a Median KEY: centroid of a triangle | median of a triangle

7. ANS: C PTS: 1 DIF: L4 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 Problem 1 Finding the Length of a Median KEY: centroid of a triangle | median of a triangle

8. ANS: D PTS: 1 DIF: L3 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 Problem 2 Identifying Medians and Altitudes KEY: median of a triangle

9. ANS: A PTS: 1 DIF: L3 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 Problem 2 Identifying Medians and Altitudes KEY: median of a triangle | centroid of a triangle | reasoning

10. ANS: B PTS: 1 DIF: L3 REF: 5-4 Medians and Altitudes OBJ: 5-4 To identify properties of medians and altitudes of a triangle NAT: CC G.CO| G.3 TOP: 5-4 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

11. ANS: C PTS: 1 DIF: L2 REF: 5-6 Inequalities in One Triangle OBJ: 5-6 To use inequalities involving angles and sides of triangles NAT: CC G.CO| G.3 TOP: 5-6 Problem 1 Applying the Corollary KEY: corollary to the Triangle Exterior Angle Theorem

### BD AE, DF AC, BF CE

PTS: 1 DIF: L2 REF: 5-1 Midsegments of Triangles OBJ: 5-1 To use properties of midsegments to solve problems NAT: CC G.CO| CC G.SRT| G.3 TOP: 5-1 Problem 1 Identifying Parallel Segments KEY: midsegment | parallel lines | Triangle Midsegment Theorem

Geometry chapter 5 review

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