# Little Slip 1: If , tell whether each equation must be true. Explain. 1. 2

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Little Slip 1: If , tell whether each equation must be true. Explain. 1. 2

Little Slip 1: If , tell whether each equation must be true. Explain. 1. 2. 3. 4. Little Slip 2: Solve each of the given problems. 1. An artist is creating a stained glass window and 2. The triangles are similar. Find the similarity wants it to be a golden rectangle. To the nearest inch, ratio of the first to the second. what should be the length if the width is 24 in? 3. The polygons are similar. Find the value of x. 4. The polygons are similar. Find the value of x and y. Little Slip 3: Solve each problem given. 1. Are the triangles similar? If so, write the similarity statement and state the postulate or theorem for justification. If not, why not? 2. Are the triangles similar? If so, write the similarity statement and state the postulate or theorem for justification. If not, why not? 3. Two right triangles have an acute angle with the same measure. Name the theorem or postulate that is the most direct way to prove the triangles similar. 4. A crate is 1.5 ft. high and casts a 2-ft. shadow. At the same time, an apple tree casts and 18-ft. shadow. How tall is the tree? Little Slip 4: Find the geometric mean of each pair of numbers. When an answer is not a whole number, leave it in simplest radical form. 1. 4 and 25 2. 3 and 300 3. 5 and 12 4. and 28 Little Slip 5: Find the values of the variables. When an answer is not a whole number, leave it in simplest radical form. 1. 2. 3. Little Slip 6: Find the value of x. 1. 2. 3. 4. Answers: Little Slip 1: If , tell whether each equation must be true. Explain. 1. True; Cross Product Property 2. 3. False; the cross product equation is NOT equivalent to this equation. 4. True; the cross product equation is equivalent to the original proportion. True; the cross product equation is equivalent to the original proportion. Little Slip 2: Solve each of the given problems. 1. An artist is creating a stained glass window and 2. The triangles are similar. Find the similarity wants it to be a golden rectangle. To the nearest inch, ratio of the first to the second. 2 to 3 what should be the length if the width is 24 in? 39 in. or 15 in. 3. The polygons are similar. Find the value of x. x=9 4. The polygons are similar. Find the value of x and y. x= 12; y=15 Little Slip 3: Solve each problem given. 1. Are the triangles similar? If so, write the similarity statement and state the postulate or theorem for justification. If not, why not? ; SAS~ Theorem 2. Are the triangles similar? If so, write the similarity statement and state the postulate or theorem for justification. If not, why not? Not ~; corresponding sides are not proportional. 3. Two right triangles have an acute angle with the same measure. Name the theorem or postulate that is the most direct way to prove the triangles similar. AA~ Postulate 4. A crate is 1.5 ft. high and casts a 2-ft. shadow. At the same time, an apple tree casts and 18-ft. shadow. How tall is the tree? 13.5 ft. Little Slip 4: Find the geometric mean of each pair of numbers. When an answer is not a whole number, leave it in simplest radical form. 1. 4 and 25 10 3. 5 and 12 √ 2. 3 and 300 4. and 28 30 √ Little Slip 5: Find the values of the variables. When an answer is not a whole number, leave it in simplest radical form. 1. x=15; y=12; z=20 3. √ 2. √ √ Little Slip 6: Find the value of x. 1. 7.5 2. 5.5 3. 11.25 4. 12 √ √