To solve this worksheet, we need to match the descriptions in the questions with the definitions provided in the "Types of Triangles" chart at the top of the page.
Step-by-step Solution:
1.
Question 1: "A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has no equal sides. All of its sides are different lengths."
* Looking at the "By Side" column in the chart, we see three types.
* The third one down is the "Scalene Triangle".
* The definition says: "has no equal sides".
* This matches the question perfectly.
*
Answer: Scalene
2.
Question 2: "A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has one 90 degree angle. This angle is called a right angle."
* Looking at the "By Angle" column in the chart.
* The second one down is the "Right triangle".
* The definition says: "has one angle = 90°".
* This matches the question.
*
Answer: Right
3.
Question 3: "An \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has three angles less than 90 degrees. All of its angles are acute."
* Looking at the "By Angle" column again.
* The first one is the "Acute triangle".
* The definition says: "has three angles < 90°".
* This matches the question.
*
Answer: Acute
4.
Question 4: "An \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has two equal sides. Two of its sides are congruent; the third side is a different length."
* Looking back at the "By Side" column.
* The second one down is the "Isosceles Triangle".
* The definition says: "has two equal sides".
* This matches the question.
*
Answer: Isosceles
5.
Question 5: "An \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has one angle greater than 90 degrees. This is called an obtuse angle."
* Looking at the "By Angle" column.
* The third one down is the "Obtuse triangle".
* The definition says: "has one angle > 90°".
* This matches the question.
*
Answer: Obtuse
6.
Question 6: "An \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ triangle has three equal sides. All of its sides are congruent. This means they are the same length."
* Looking at the "By Side" column.
* The first one is the "Equilateral Triangle".
* The definition says: "has three equal sides".
* This matches the question.
*
Answer: Equilateral
Final Answer:
1) Scalene
2) Right
3) Acute
4) Isosceles
5) Obtuse
6) Equilateral
Parent Tip: Review the logic above to help your child master the concept of type of triangle worksheet.
