Define and Construct Triangles

Examples, solutions, and videos to help Grade 4 students learn how to define and construct triangles from given criteria and explore symmetry in triangles.

Common Core Standards: 4.MD.7

New York State Common Core Math Grade 4, Module 4, Lesson 14

Worksheets for Grade 4

NYS Math Module 4 Grade 4 Lesson 14 Fluency Practice

Classify the Triangle

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Lesson 14 Concept Development
Problem 1: Construct an obtuse isosceles triangle.

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Problem 2: Construct a right scalene triangle.

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NYS Math Grade 4, Module 4, Lesson 14 Problem Set

1. Draw triangles that fit the following classifications. Use a ruler and protractor. Label the side lengths and angles.
   a. right and isosceles
   b. obtuse and scalene
   c. acute and scalene
   d. acute and isosceles
   
2. Draw all possible lines of symmetry in the triangles above. Explain why some of the triangles do not have lines of symmetry.

Are the following statements true or false? Explain using pictures or words.
3. If ABC is an isosceles triangle, BC must be 2 cm. True or False?
4. A triangle cannot have one obtuse angle and one right angle. True or False?
5. EFG can be described as a right triangle and an isosceles triangle. True or False?
6. An equilateral triangle is isosceles. True or False?

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NYS Math Module 4 Grade 4 Lesson 14 Homework

1. Draw triangles that fit the following classifications. Use a ruler and protractor. Label the side lengths and angles.
   a. right and isosceles
   b. right and scalene
   c. obtuse and isosceles
   d. acute and scalene
2. Draw all possible lines of symmetry in the triangles above. Explain why some of the triangles do not have lines of symmetry.
   Are the following statements true or false? Explain using pictures or words.
3. If ABC is an isosceles triangle, AB must be 2 cm. True or False?
4. A triangle cannot have both an acute angle and a right angle. True or False?
5. XYZ can be described as both equilateral and acute. True or False?
6. A right triangle is always scalene. True or False?

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