section 1.1 PROBLEM SET A 1. a. If the diagonals of a square are drawn in, how many triangles of all sizes are formed? b. Describe how Pólya's four steps were used to solve part a. lo noualos

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
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18
Chapter 1 Introduction to Problem Solving
section 1.1
PROBLEM SET A
1. a. If the diagonals of a square are drawn in, how many
triangles of all sizes are formed?
b. Describe how Pólya's four steps were used to solve
part a.
to nouul
polos odr
2. Scott and Greg were asked to add two whole numbers.
Instead, Scott subtracted the two numbers and got 10, and
Greg multiplied them and got 651. What was the correct
sum?
3. The distance around a standard tennis court is 228 feet. If
the length of the court is 6 feet more than twice the width,
find the dimensions of the tennis court.
4. A multiple of 11 I be,
not odd, but even, you see.
My digits, a pair,
when multiplied there,
make a cube and a square
out of me. Who am I?
5. Show how 9 can be expressed as the sum of two consecutiv
numbers. Then decide whether every odd number can be
expressed as the sum of two consecutive counting numbers
Explain your reasoning.
6. Using the symbols +, -, x, and ÷, fill in the following three
blanks to make a true equation. (A symbol may
be used more than once.)
Transcribed Image Text:18 Chapter 1 Introduction to Problem Solving section 1.1 PROBLEM SET A 1. a. If the diagonals of a square are drawn in, how many triangles of all sizes are formed? b. Describe how Pólya's four steps were used to solve part a. to nouul polos odr 2. Scott and Greg were asked to add two whole numbers. Instead, Scott subtracted the two numbers and got 10, and Greg multiplied them and got 651. What was the correct sum? 3. The distance around a standard tennis court is 228 feet. If the length of the court is 6 feet more than twice the width, find the dimensions of the tennis court. 4. A multiple of 11 I be, not odd, but even, you see. My digits, a pair, when multiplied there, make a cube and a square out of me. Who am I? 5. Show how 9 can be expressed as the sum of two consecutiv numbers. Then decide whether every odd number can be expressed as the sum of two consecutive counting numbers Explain your reasoning. 6. Using the symbols +, -, x, and ÷, fill in the following three blanks to make a true equation. (A symbol may be used more than once.)
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