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[PA]4.1/4.2Skills Check Good Luck to: _______________________Period:_____ Follow the directions carefully. Show all work and circle your answers. Level 1 1. Identify each triangle by its angles and sides: a. b. Objective: Students will be able to identify and classify triangles by angles and sides. CRS: PPF 20-23 Exhibit knowledge of basic angle properties and special sums of angle measures. 2. Sketch an example of the type of triangle described. a. acute isosceles b. obtuse scalene 3. Identify all the isosceles triangles in the figure . Level 2 Objective: Students will be able to classify triangles on a coordinate plane. CRS: PPF 24-27 Use several angle properties to find an unknown angle measure. GR 28-32 Use the distance formula 1. a. Find the measure of each side of ∆𝐴𝐵𝐶 with vertices A(-3, -1), B(-2, 2), C(3, 1) b. Classify the triangle by its sides. Level 3 Objective: 1. In ∆𝐴𝐵𝐶 is 𝐢𝐬𝐨𝐬𝐜𝐞𝐥𝐞𝐬, ∠𝐵 is the 𝐯𝐞𝐫𝐭𝐞𝐱 𝐚𝐧𝐠𝐥𝐞, 𝐴𝐵 = 6𝑥 + 4, 𝐵𝐶 = 8𝑥 − 1, and 𝐴𝐶 = 10𝑥 − 10. Students will be able to find missing side measures algebraically using triangle classifications. a. Draw a clearly labeled diagram b. Find x c. Find the measures of each side of the triangle. CRS: PPF 24-27 Use several angle properties to find an unknown angle measure. 2. What is the value of x and the measure of each side if ∆ABC is equilateral? Level 4 1. Find the measure of each numbered angle. Objective: a. Students will be able to apply the Angle Sum Theorem and Exterior Angle Theorem to find the missing angle measures of triangles both arithmetically and algebraically. CRS: PPF 24-27 Use several angle properties to find an unknown angle measure b. m1 = _____ m1 = _____ m2 = _____ m2 = _____ m3 = _____ 2. Find the value of x. m3 = _____ 3. Find the value of x.