Triangle Properties True or False

Triangles Basics

• A triangle is a polygon with exactly three vertices.

Angles in Triangles

• The word "adjacent" refers to the segment across from an angle.
• It is not possible to have one angle in a triangle that is only 1°.
• It is not possible to have a triangle with more than one obtuse angle.

Finding Missing Angles

• To find a missing angle, use the fact that the sum of angles in a triangle is 180°.

Ratio of Angle Measurements

• If a triangle has a ratio of the angle measurements of 10:15:25, the measures of each angle can be found by dividing 180° by the sum of the ratio (10+15+25=50) and then multiplying each part of the ratio by the quotient.

Forming Triangles with Line Segments

• To form a triangle with three line segments, the sum of the lengths of any two segments must be greater than the length of the third segment.

Pythagorean Theorem

• The correct equation for solving for side "b" is: b² = a² - c² or b = √(a² - c²).
• The Pythagorean Theorem can be used to find the missing side length of a right triangle.

Solving for Unknown Sides

• To solve for an unknown side length, use the Pythagorean Theorem or other trigonometric methods.

Right Triangles

• A triangle with side lengths 12cm, 16cm, and 20cm is a right triangle because it satisfies the Pythagorean Theorem.
• To determine if a triangle is a right triangle, use the Pythagorean Theorem.

Triangle Properties

• A triangle is a polygon with exactly three vertices.
• The word "adjacent" refers to the segment across from an angle.

Angle Measurements

• It is not possible to have one angle in a triangle that is only 1°.
• It is not possible to have a triangle with more than one obtuse angle.

Triangle Angle Ratios

• If a triangle has a ratio of the angle measurements of 10:15:25, the measure of each angle is 36° : 54° : 90°.

Forming Triangles

• Three line segments with measurements of 10cm, 8cm, and 17cm cannot form a triangle (explain why or why not to receive full credit).

Pythagorean Theorem

• The correct equation for solving for side "b" is: __ / __ = __ / __.

Finding Side Lengths

• To find the missing side length, use the Pythagorean Theorem equation.
• Round to the nearest tenth of a decimal if necessary.

Solving for Unknowns

• Solve for x using the Pythagorean Theorem equation.

Right Triangles

• A triangle with side lengths 12cm, 16cm, and 20cm is a right triangle (explain why or why not to receive full credit).

Assess your understanding of triangle properties with this true or false quiz, covering definitions and characteristics.