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Name___________________________________ 4-1 Check In quiz Geometry Period______ Date__________ You watched a video last night classifying triangles and determining angle measure given ratios. Answer the following questions: Triangle might not be drawn to scale In triangle ABC, the angles are in the ratio 1:3:5, respectively. Solve for each angle. Fill into diagram State the names of each angle, list them smallest to biggest Classify the triangle in terms of its angles. STOP AND WAIT! State the medium length side of the triangle above. How did you get that? Name___________________________________ 4-1 Notes Geometry Period______ Date__________ Today’s Learning Goal: What is the Side-Angle Relationship in triangles? Angle-Side Relationships in Triangle Consider ∆ABC as shown below with given side lengths and angle measures: Turn and Talk: With your elbow partner, answer the three questions below 1) List the angles (by name) in order from smallest to biggest: 2) List the sides (by name) of the triangle in order from smallest to biggest: 3) Write a conjecture that describes a relationship between the measure of angles and the measure of sides: BE PREPARED TO SHARE OUT! Together! Angle - Side Relationship The ______________ side is across from the ______________ angle. The ______________ side is across from the ______________ angle. The ______________ side is across from the ______________ angle. Let’s Try It! Example 1) InΔ ABC, 𝑚∡A = 30° and 𝑚∡B = 50°. What is the name the longest side of the triangle? Example 2) Angle – Side Relationship Partner Playtime Choose who will be partner peanut butter and who will be partner jelly. Work on your column’s questions. Each problem is different, but your multiple choice answers should match. If there is a discrepancy between answers, figure out who is right and help your partner correct their mistake. Work on the last 2 problems together 1 2 Partner Peanut Butter In scalene triangle ABC, and . What is the order of the sides in length, from longest to shortest? 1) 2) 3) 4) In 1) 2) 3) 4) , , , , , , , , ,m∠𝐶 < m∠𝐴 < m∠𝐵. Which inequality is true? In 1) 2) 3) 4) In 1) 2) 3) 4) , sides of are , , , , Partner Jelly and = 70. The lengths of the in order from smallest to largest , , , , , false? . Which statement is 3 For which measures of the sides of the largest angle of the triangle? is angle B 1) 2) 3) 4) For which measures of the sides of smallest angle of the triangle? 1) 2) 3) 4) AC = 12, AB = 10, BC =14 AC = 8, AB = 9, BC = 6 AC = 8, AB = 9, BC = 10 AC = 4, AB = 3, BC = 8 Peanut Butter Jelly Time! Try these as a team now 4) The degree measures of the angles of are represented by x, 3x, and . Find the value of x. Classify this triangle by its angles. 5) As shown in the diagram of If , below, B is a point on , and and is drawn. , what is the longest side of ?JUSTIFY your answer. is angle B the 6) In 1) 2) 3) 4) 7) , , , and B is a point on side , such that . Which line segment is shortest? Name___________________________________ 4-1 Homework Geometry Period______ Date__________ 1. In , , and . Which expression correctly relates the lengths of the sides of this triangle? 1) 2) 3) 4) 2) Determine and state the largest angle of ∆𝑅𝑆𝑇, and justify how you obtained your answer. 3) In triangle RST, which is a possible side length for ST? (Select any that apply) 4) the accompanying diagram, What does is a straight line, and angle E in triangle BEC is a right angle. equal? 1) 135° 3) 180° 2) 160° 4) 270° 5) In the diagram below of with side extended through D, is the longest side? Justify your answer. 6) In , and is an obtuse angle. Which statement is true? 1) and is the longest side. 2) and is the longest side. 3) and is the shortest side. 4) and is the shortest side. and . Which side of