For Exercises 113, use your new conjectures. All measurements are in centimeters.
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Table of Contents
0
Geometric Art
0.1
Geometry in Nature and in Art
0.2
Line Designs
0.3
Circle Designs
0.4
Op Art
0.5
Knot Designs
0.6
Islamic Tile Designs
1
Introducing Geometry
1.1
Building Blocks of Geometry
1.2
Poolroom Math
1.3
Whats a Widget?
1.4
Polygons
1.5
Triangles
1.6
Special Quadrilaterals
1.7
Circles
1.8
Space Geometry
1.9
A Picture Is Worth a Thousand Words
2
Reasoning in Geometry
2.1
Inductive Reasoning
2.2
Finding the nth Term
2.3
Mathematical Modeling
2.4
Deductive Reasoning
2.5
Angle Relationships
2.6
Special Angles on Parallel Lines
3
3 Using Tools of Geometry
3.1
Duplicating Segments and Angles
3.2
Constructing Perpendicular Bisectors
3.3
Constructing Perpendiculars to a Line
3.4
Constructing Angle Bisectors
3.5
Constructing Parallel Lines
3.6
Construction Problems
3.7
Constructing Points of Concurrency
3.8
The Centroid
4
Discovering and Proving Triangle Properties
4.1
Triangle Sum Conjecture
4.2
Properties of Isosceles Triangles
4.3
Triangle Inequalities
4.4
Are There Congruence Shortcuts?
4.5
Are There Other Congruence Shortcuts?
4.6
Corresponding Parts of Congruent Triangles
4.7
Flowchart Thinking
4.8
Proving Special Triangle Conjectures
5
Discovering and Proving Polygon Properties
5.1
Polygon Sum Conjecture
5.2
Exterior Angles of a Polygon
5.3
Kite and Trapezoid Properties
5.4
Properties of Midsegments
5.5
Properties of Parallelograms
5.6
Properties of Special Parallelograms
5.7
Proving Quadrilateral Properties
6
Discovering and Proving Circle Properties
6.1
Tangent Properties
6.2
Chord Properties
6.3
Arcs and Angles
6.4
Proving Circle Conjectures
6.5
The Circumference/ Diameter Ratio
6.6
Around the World
6.7
Arc Length
7.1
Transformations and Symmetry
7.2
Properties of Isometries
7.3
Compositions of Transformations
7.4
Tessellations with Regular Polygons
7.5
Tessellations with Nonregular Polygons
7.6
Tessellations Using Only Translations
7.7
Tessellations That Use Rotations
7.8
Tessellations That Use Glide Reflections
8
Area
8.1
Areas of Rectangles and Parallelograms
8.2
Areas of Triangles, Trapezoids, and Kites
8.3
Area Problems
8.4
Areas of Regular Polygons
8.5
Areas of Circles
8.6
Any Way You Slice It
8.7
Surface Area
9
Circles and the Pythagorean Theorem
9.1
The Theorem of Pythagoras
9.2
The Converse of the Pythagorean Theorem
9.3
Radical Expressions
9.4
Story Problems
9.5
Distance in Coordinate Geometry
9.6
Circles and the Pythagorean Theorem
10
Volume
10.1
The Geometry of Solids
10.2
Volume of Prisms and Cylinders
10.3
Volume of Pyramids and Cones
10.4
Volume Problems
10.5
Displacement and Density
10.6
Volume of a Sphere
10.7
Surface Area of a Sphere
11
Similarity
11.1
Proportion and Reasoning
11.2
Similar Triangles
11.3
Indirect Measurement with Similar Triangles
11.4
Corresponding Parts of Similar Triangles
11.5
Proportions with Area
11.6
Proportions with Volume
11.7
Proportional Segments Between Parallel Lines
12
Transforming Functions
12.1
Trigonometric Ratios
12.2
Problem Solving with Right Triangles
12.3
The Law of Sines
12.4
The Law of Cosines
12.5
Problem Solving with Trigonometry
13
Geometry as a Mathematical System
13.1
The Premises of Geometry
13.2
Planning a Geometry Proof
13.3
Triangle Proofs
13.4
Quadrilateral Proofs
13.5
Indirect Proof
13.6
Circle Proofs
13.7
Similarity Proofs
13.8
Coordinate Proof
Textbook Solutions for Discovering Geometry: An Investigative Approach
Chapter 11.4 Problem 1
Question
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Solution
The first step in solving 11.4 problem number 1 trying to solve the problem we have to refer to the textbook question: For Exercises 113, use your new conjectures. All measurements are in centimeters.
From the textbook chapter Corresponding Parts of Similar Triangles you will find a few key concepts needed to solve this.
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full solution
full solution
Title
Discovering Geometry: An Investigative Approach 4
Author
Michael Serra
ISBN
9781559538824
Get solution: For Exercises 113, use your new conjectures. All measurements are in
Chapter 11.4 textbook questions
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Chapter 11: Problem 1 Discovering Geometry: An Investigative Approach 4
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Chapter 11: Problem 2 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 3 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 4 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 5 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 6 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 7 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 8 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 9 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 10 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 11 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
Read more -
Chapter 11: Problem 12 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
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Chapter 11: Problem 13 Discovering Geometry: An Investigative Approach 4
For Exercises 113, use your new conjectures. All measurements are in centimeters.
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Chapter 11: Problem 14 Discovering Geometry: An Investigative Approach 4
Triangle PQR is a dilated image of ABC. Find the coordinates of B and R . Find the ratio
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Chapter 11: Problem 15 Discovering Geometry: An Investigative Approach 4
Aunt Florence has willed to her two nephews a plot of land in the shape of an isosceles right triangle. The land is to be divided into two unequal parts by bisecting one of the two congruent angles. What is the ratio of the greater area to the lesser area?
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Chapter 11: Problem 16 Discovering Geometry: An Investigative Approach 4
Developing Proof Prove that corresponding angle bisectors of similar triangles are proportional to corresponding sides.
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Chapter 11: Problem 17 Discovering Geometry: An Investigative Approach 4
Use algebra to show that if then
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Chapter 11: Problem 18 Discovering Geometry: An Investigative Approach 4
A rectangle is divided into four rectangles, each similar to the original rectangle. What is the ratio of short side to long side in the rectangles?
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Chapter 11: Problem 19 Discovering Geometry: An Investigative Approach 4
Developing Proof In Chapter 5, you discovered that when you construct the three midsegments in a triangle, they divide the triangle into four congruent triangles. Are the four triangles similar to the original? Explain why.
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Chapter 11: Problem 20 Discovering Geometry: An Investigative Approach 4
A rectangle has sides a and b. For what values of a and b is another rectangle with sides 2a and a. Congruent to the original? b. Equal in perimeter to the original? c. Equal in area to the original? d. Similar but not congruent to the original?
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Chapter 11: Problem 21 Discovering Geometry: An Investigative Approach 4
Assume = Find AB and BC.
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