Franklin Township Public Schools



Name:_________________________________________________________ Period:___________ Date:___________________________Marking Period I Exam Study Guide 2015-2016-1143005715Due Dates (may complete sooner):MP1 Exam Friday 11-13 Tuesday 11-10Wednesday 11-11Thursday 11-12 #1-8#9-16#17-260Due Dates (may complete sooner):MP1 Exam Friday 11-13 Tuesday 11-10Wednesday 11-11Thursday 11-12 #1-8#9-16#17-26_____________________________________________________________________________________Transformations_____________________________________________________________________________________194310015240000Translations:182880069850Translation Rules (x,y) ( x +or - # , y +or - #) 0Translation Rules (x,y) ( x +or - # , y +or - #) 914400105410001.) Translate the figure 8 units right and 6 units up on the graph and label appropriately. THEN Circle the appropriate answer.-1320802984500Size… stayed the same changedShape… stayed the same changedOrientation… stayed the same changedX-coordinate… stayed the same changedY-coordinate… stayed the same changedRelationship is….. similar congruent -1143002921000 2.) a. Identify the specific transformation. b. Identify the relationship. (Are these figures similar or congruent?) 3.) Explain the following rule: (Describe how many units a figure will move horizontally and vertically) (x,y) ( x + 5 , y – 8 )4.) Use the following rule: (x, y) (x – 3, y + 6)Identify the specific transformation:Explain the rule above:If the above rule was applied to point A(2, 4), then give coordinates for A’. A’( . )122495229114200_____________________________________________________________________________________102870016446500Reflections:45720046990Reflection RulesOver x-axis: (x,y) (x, -y)…. x stays the same, y becomes oppositeOver y-axis: (x,y) (x, -y)…. x becomes the opposite, y stays the same Reflection RulesOver x-axis: (x,y) (x, -y)…. x stays the same, y becomes oppositeOver y-axis: (x,y) (x, -y)…. x becomes the opposite, y stays the same 5.) Reflect the figure over the x-axis on the graph and label appropriately. -2286005334000THEN Circle the appropriate answer.Size… stayed the same changedShape… stayed the same changedOrientation… stayed the same changedX-coordinate… stayed the same changedY-coordinate… stayed the same changedRelationship is….. similar congruent 0-114300006.) a. Identify the specific transformation. b. Identify the relationship. (Are these figures similar or congruent?)7.) For a reflection over the x-axis, write the rule and explain it in words.8.) Pre-image vertices: A ( -1, 3) B (2, -2) C (4 , 5) Image vertices: A’ ( -1, -3) B’ (2, 2) C’(4, -5)Identify the specific transformation.What is the relationship between these two figures? (similar or congruent?) _____________________________________________________________________________________10287005016500Rotations:125730016764000228600109855Rotation Rules90°c: Rule: (x , y) (y, -x)… x becomes opposite; x and y switch180°c/cc: Rule: (x , y) (-x,-y) … x becomes opposite; y becomes opposite90°cc or 270°c: Rule: (x , y) (-y, x) … y becomes opposite; x and y switch00Rotation Rules90°c: Rule: (x , y) (y, -x)… x becomes opposite; x and y switch180°c/cc: Rule: (x , y) (-x,-y) … x becomes opposite; y becomes opposite90°cc or 270°c: Rule: (x , y) (-y, x) … y becomes opposite; x and y switch9.) Rotate the figure 90 degrees clockwise on the graph and label appropriately-1143001778000Size… stayed the same changedShape… stayed the same changedOrientation… stayed the same changedX-coordinate… stayed the same changedY-coordinate… stayed the same changedRelationship is….. similar congruent -22860000010) a. Identify the specific transformation. b. Identify the relationship. (Are these figures similar or congruent?)116395521463000_____________________________________________________________________________________Dilations:6858003111500800100102235001216025-8699500 Scale Factor:In order to calculate scale factor, create a ratio of corresponding sides of the image to the pre-image.Ratio to calculate scale factor: IMAGE__ IPI PRE-IMAGE11.) Dilate the figure by a scale factor of 2.5 with the origin as the center of dilation. A (2, 4), B(4, 1), and C(2, 1). Write the new vertices of the image._______ ( , ), _______ ( , ), _______ ( , ).-1143009842500 12.) a.) Identify the specific transformation. b. Identify the relationship. (Are these figures similar or congruent?) 13.) Match the dilation to its appropriate scale factor IPI.46863003067050012 2 13 3Scale Factors to Match (one will be used two times)___________________________________________________________________________________Combining Transformations:14.) Specifically, how can rectangle ABC be transformed to become triangle A”B”C”? (hint: 2 transformations occurred; be specific!)15.) Read the statements about the images. Circle all of the true statements. Cross out all of the false statements.297180016510Congruent ReflectionNot Congruent DilationSame Size Rotation Same Shape Different Orientation Same Orientation00Congruent ReflectionNot Congruent DilationSame Size Rotation Same Shape Different Orientation Same Orientation 16.) Draw this image so that orientation is preserved. 22860099695___________________________________________________________________________________Angle-Angle Similarity Postulate of Triangles:38862005080Steps: If you can see 2 angles have the same measure, they are similar!If you can’t tell at first,Remember a triangle’s angles add up to 180, find the missing angleAfter you know all angles of one triangle compare them to the otherIf 2 angles have the same measure, they are similar!If 2 angles do not have the same measure they are not similar!0Steps: If you can see 2 angles have the same measure, they are similar!If you can’t tell at first,Remember a triangle’s angles add up to 180, find the missing angleAfter you know all angles of one triangle compare them to the otherIf 2 angles have the same measure, they are similar!If 2 angles do not have the same measure they are not similar!If Similar…………. Similar. Triangles have two pairs of congruent angles.If not Similar…………..Not Similar. Triangles don’t have two pairs of congruent angles.#17-20 explain why or why not the following pairs of triangles are similar or not similar.17.) 18.) 19.) 20.) ___________________________________________________________________________________Square Roots and Cube Roots320040095250Cube Root Calculator Steps:1. Type a 3 2. Press 2nd 3. Press ?button (x is above this button)4. Type the number5. Press = 00Cube Root Calculator Steps:1. Type a 3 2. Press 2nd 3. Press ?button (x is above this button)4. Type the number5. Press = 114300095250Square Root Calculator Steps:1. Type a 2 2. Press 2nd 3. Press ?button (x is above this button)4. Type the number5. Press = 00Square Root Calculator Steps:1. Type a 2 2. Press 2nd 3. Press ?button (x is above this button)4. Type the number5. Press = Perfect Squares and Perfect Cubes: have whole number roots21.) Circle the Perfect Squares and Box the Non-Perfect Squares9 2 144 81 43 1 175 39 8 25 22.) Circle the Perfect Cubes and Box the Non-Perfect Cubes38 3125 369 3263 354 31 364 373 3216 315 Example 1: x2 = 121<-- Solve for x by taking the square root of both sides <-- Remember a square root has 2 roots; ±Example 2: x3 = 739<-- Solve for x by taking the cube root of both sides<-- Remember a square root has 1 rootYou Try:23. x2 = 3624. x3 = 6425. 85 = x3 26. 125 = x3 ................
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