Question

the following are rules for repeating patterns. for which rule will the eighth shape be a diamond? (1 point) diamond, square, triangle circle, triangle, diamond triangle, diamond diamond, circle

Explanation:

Step1: Analyze each option's pattern cycle

• Option 1: "diamond, circle" has a cycle length of 2. \(8\div2 = 4\), remainder \(0\). The 8th shape would be the last in the cycle (circle).
• Option 2: "triangle, diamond" has a cycle length of 2. \(8\div2=4\), remainder \(0\). The 8th shape would be the last in the cycle (diamond).
• Option 3: "circle, triangle, diamond" has a cycle length of 3. \(8\div3 = 2\cdots\cdots2\). The 8th shape would be the 2nd in the cycle (triangle).
• Option 4: "diamond, square, triangle" has a cycle length of 3. \(8\div3=2\cdots\cdots2\). The 8th shape would be the 2nd in the cycle (square).

Answer:

B. triangle, diamond