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Transcript
Click the mouse button or press the Space Bar to display the answers. Objective Identify and classify triangles Vocabulary Triangle A polygon that has three sides and three angles Vocabulary Acute triangle A triangle having three acute angles Vocabulary Right triangle A triangle having one right angle Vocabulary Obtuse triangle A triangle having one obtuse angle Vocabulary Congruent segments Sides of a triangle having the same length Vocabulary Scalene triangle A triangle having no congruent sides Vocabulary Isosceles triangle A triangle having at least two congruent sides Vocabulary Equilateral triangle A triangle having three congruent sides Example 1 Find Angle Measures of Triangles Example 2 Find a Missing Measure Example 3 Classify Triangles Example 4 Classify Triangles PLANES An airplane has wings that are shaped like triangles. Find the missing measure. x0 + 1120 + 470 = 1800 The sum of the measures is 1800 Add angles together Remember: sum = 1800 1/4 PLANES An airplane has wings that are shaped like triangles. Find the missing measure. Bring down x0 x0 + 1120 + 470 = 1800 Combine “like” terms x0 + 1590 = 1800 Bring down = 1800 Ask “what is being done to the variable?” The variable is being added by 1590 Do the inverse on both sides of the equal sign 1/4 PLANES An airplane has wings that are shaped like triangles. Find the missing measure. Bring down x0 + 1590 x0 + 1120 + 470 = 1800 x0 + 1590 = 1800 Subtract 1590 Bring down = 1800 x0 + 1590 - 1590 = 1800 - 1590 x0 + 00 = Subtract 1590 Bring down x0 Combine “like” terms Bring down = 1/4 PLANES An airplane has wings that are shaped like triangles. Find the missing measure. x0 + 1120 + 470 = 1800 x0 + 1590 = 1800 Combine “like” terms Use the Identify Property to add x0 + 00 x0 + 1590 - 1590 = 1800 - 1590 x0 + 00 = 210 Answer: x = 210 1/4 SEWING A piece of fabric is shaped like a triangle. Find the missing measure. x Answer: x = 49 1/4 ALGEBRA Find mA in ABC if mA mC 80. mB and x Draw the triangle Define mA as x mA mB 2/4 ALGEBRA Find mA in ABC if mA mC 80. mB and 2x Since mA is x and m mB then B can also be x x + x = 2x The sum of the measures is 1800 2/4 ALGEBRA Find mA in ABC if mA mC 80. mB and 2 x + 800 = 1800 Add 800 for the mC Put the = 1800 since this is the sum Solve for the unknown 2/4 ALGEBRA Find mA in ABC if mA mB and mC 80. Ask “what is being done to the variable term (2x)?” 2 x + 800 = 1800 2x + 800 - 800 = 1800 - 800 The variable term is being added by 800 Do the inverse on both sides of the equal sign Bring down 2x + 800 Subtract 800 Bring down = 1800 Subtract 800 2/4 ALGEBRA Find mA in ABC if mA mB and mC 80. Bring down 2x 0 0 2 x + 80 = 180 Combine “like” terms 0 0 0 2x + 80 - 80 = 1800 - 80 Bring down = 0 0 2x + 0 = 100 Combine “like” terms 2x = 1000 Use the Identify Property to add 2x + 00 Ask “what is being done to the variable?” The variable is being multiplied by 2 2/4 ALGEBRA Find mA in ABC if mA mB and mC 80. Do the inverse on both sides of the equal sign 2 x + 800 = 1800 0 Bring down 2x = 100 0 0 0 0 2x + 80 - 80 = 180 - 80 Using the fraction bar, divide 0 0 2x + 0 = 100 both sides by 2 0 2x = 100 Combine “like” terms 2x = 1000 2 2 Use the Identify Property to multiply 1 x 1 x = 500 x = 500 Answer: mA = 500 Since you defined mA as x and x = 500 then mA = 500 2/4 ALGEBRA Find mJ in JKL if mJ mK and mL 100. Draw the triangle then solve Answer: mJ = 40 2/4 Classify the triangle by its angles and its sides. Obtuse All triangles have 3 names First, middle and last (just like you) First: classify angle One angle greater than 900 meets the definition of obtuse angle 3/4 Classify the triangle by its angles and its sides. Answer: Obtuse Isosceles Triangle Next, classify by sides 2 sides congruent meets the definition of isosceles All triangles have the last name as “triangle” 3/4 Classify the triangle by its angles and its sides. Answer: Right Scalene Triangle 3/4 Classify the triangle by its angles and its sides. Acute All triangles have 3 names First, middle and last (just like you) First: classify angle All angles are less than 900 meets the definition of acute angle 4/4 Classify the triangle by its angles and its sides. Answer: Acute Scalene Triangle Next, classify by sides No sides have a congruent symbol so meets the definition of scalene All triangles have the last name as “triangle” 4/4 * Classify the triangle by its angles and its sides. Answer: Acute Equilateral Triangle 4/4 Assignment Lesson 10:4 Triangles 3 - 24 All