Book cover for Discovering Geometry an Investigative Approach

Discovering Geometry an Investigative Approach

Michael Serra

ISBN #9781559538824

4th Edition

2,157 Questions

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48,436 Students Helped

Homework Questions

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Summary

Discovering Geometry: An Investigative Approach is an engaging educational journey that blends the precision of mathematics with the creativity of art. The book introduces readers to the world of geometric forms found in nature and cultural artifacts, emphasizing symmetry and classical construction techniques as tools for interpreting our environment. It also explores innovative, technology-driven discovery learning, seamlessly bridging theoretical reasoning with practical applications in real-world scenarios. Throughout, key characters—students and the educators guiding them—embody the spirit of inquiry and interdisciplinary exploration, illustrating how geometry is more than a subject, but a means of understanding diverse facets of life.

Chapters & Topics Covered

Chapter 0

Geometric Art

Chapter 1

Introducing Geometry

Chapter 2

Reasoning in Geometry

Chapter 3

Using Tools of Geometry

Chapter 4

Discovering and Proving Triangle Properties

Chapter 5

Discovering and Proving Polygon Properties

Chapter 6

Discovering and Proving Circle Properties

Chapter 7

Transformations and Tessellations

Chapter 8

Area

Chapter 9

The Pythagorean Theorem

Chapter 10

Volume

Chapter 11

Similarity

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Chapter 12

Trigonometry

Chapter 13

Geometry as a Mathematical System

Popular Video Solutions

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Problem 1

For Exercises $1-6,$ use your new conjectures to find the missing measures. $m \angle H=\underline{?}$ (IMAGE CAN'T COPY)

Suman Saurav Thakur

Suman Saurav Thakur   Numerade Educator

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Problem 2

In the photos below identify the physical models that represent a point, segment, plane, collinear points, and coplanar points. (IMAGE CAN'T COPY)

Prashansha Kaushik

Prashansha Kaushik   Numerade Educator

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Problem 3

If you cut a 1 -inch square out of each corner of an 8.5-by-11-inch piece of paper and fold it into a box without a lid, what is the volume of the container?

Jay Patel

Jay Patel   Numerade Educator

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Problem 4

In Exercises $1-11$, find each missing length. All measurements are in centimeters. Use the symbol $=$ for approximate answers and round to the nearest tenth of a centimeter. (IMAGE CAN'T COPY)

Raushan Kumar

Raushan Kumar   Numerade Educator

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Problem 5

Name the single translation vector that can replace the composition of these three translation vectors: $\langle 2,3\rangle,$ then $\langle- 5,7\rangle,$ then $\langle 13,0\rangle$

Selena Armstrong

Selena Armstrong   Numerade Educator

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Problem 6

Look at the rectangle at right. Find the ratio of the shaded area to the area of the whole figure. Find the ratio of the shaded area to the unshaded area. (IMAGE CAN'T COPY)

Jay Patel

Jay Patel   Numerade Educator

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