SEMESTER ONE: FINAL TEST REVIEW
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1 SEMESTER ONE: FINAL TEST REVIEW
2 Unit 1 Transformations For each Transformation, describe how each point should move. 1. T:(x, y) (x + a, y + b): Every point moves a units (left if a is negative/right if a is positive) and b units (down if b is negative and up if b is positive. 2. R m : Every point maps to its image, forming a line that is perpendicular to the line m (you would put the specific line for your problem in place of m ), with both image and pre-image being equidistant (same distance) from the line m.
3 Unit 1: Transformations For each Transformation, describe how each point should move. 3. R O,90 : Every point moves 90 counterclockwise about the origin. 4. H O : Every point moves 180 about the origin (in either direction).
4 Unit 1: Transformations For each Transformation, describe how each point should move. 5. D O,k : Every point moves to a point k times the distance from the center O.
5 Unit 1: Transformations Translation ( 2,3) -74 Reflection (4, 7) 5 3 Rotation (3, 5) Dilation ( 4, 8) Dilation ( 3, 4)
6 Unit 2: Geometric Vocabulary Recall some of the key terms from this section: Point Line Plane Collinear Coplanar Intersect Contains Opposite Adjacent Segment Addition Angle Addition Midpoint Angle Bisector Supplementary Complementary Vertical Congruent
7 Unit 2: Geometric Vocabulary Use these terms to fill in blanks: B E F H A 1. FA + AH = FH by Segment Addition Postulate. G 2. < BAF < HAG because they are Vertical angles. 3. < FAB and < BAE are Complementary angles because they add up to. 90
8 Unit 2: Geometric Vocabulary Be ready to solve equations using segment and angle addition: 3.) m < FOE = 3x 1, m < EOD = 72, and m < FOD = 6x x = 6x x + 71 = 6x x = 60 x = 20 4.) EB = 6x 8, OB = 12, and OE = 4x 2 4x = 6x 8 4x + 10 = 6x 8 2x = 18 x = 9
9 Unit 3: Proofs Be ready for another round of proofs: NP = NP MN NP PN PQ MN + NP = NP + PQ MN = PQ Given Segment Addition Postulate Substitution Subtraction
10 Unit 4: Parallel Lines Use the properties of parallel lines to find angle measures. Remember the big three that we focused on in this unit: Corresponding Angles are Congruent Corr. < s are Alternate Interior Angles (Alt. Int.) are Congruent Alt. Int. < s are Same-Side Interior Angles (S-S Int.) are Supplementary S S Int. < s are supp.
11 Unit 4: Parallel Lines Use those properties to make equations and find angle measures using a diagram (you may also be asked to explain your answers): Corr. 115 c d Alt. Int. S-S Int a b c d supp.
12 Unit 4: Parallel Lines Use those properties to make equations and find angle measures using a diagram (you may also be asked to explain your answers): Ex: m < 8 = 4x + 12 and m < 2 = 6x 4 4x + 12 = 6x 4 16 = 2x 8 = x
13 Unit 4: Parallel Lines You can also use those properties to identify the existence of parallel lines in a diagram 1. < 2 < 9 AB ll FC 2. m < 2 = m < 5 None 3. < 6 < 7 EF ll CD
14 Unit 4: Parallel Lines You can also use those properties to identify the existence of parallel lines in a diagram Yes; AB // EF Because when lines ACBAT and Corr. < s are, then lines are //.
15 Unit 5: Triangles Remember the 5 Postulates/Theorems we use for Proving That Triangles are congruent: Side-Side-Side SSS Side-Angle-Side SAS Angle-Side-Angle ASA Angle-Angle-Side AAS Hypotenuse-Leg HL Oh, and Let s not forget about CPCTC
16 Unit 5: Triangles Use these postulates/theorems to label diagrams and name the appropriate congruent statements: S A S FI HI < EIF < GIH EI GI GHI
17 Unit 5: Triangles Use these postulates/theorems to label diagrams and name the missing parts to satisfy them: AAS Theorem
18 Unit 5: Triangles Use these postulates/theorems to label diagrams and name the missing parts to satisfy them: SSS Postulate
19 Unit 5: Triangles Use these postulates/theorems to label diagrams and name the appropriate congruent statements: SSS CDA
20 Unit 5: Triangles Use these postulates/theorems to label diagrams and name the appropriate congruent statements: AAS EDC
21 Unit 6: Quadrilaterals Remember the properties of the Quadrilaterals, and how to use them to make equations.
22 Unit 6: Quadrilaterals Remember the properties of the Quadrilaterals, and how to select the most best one from a given property. A A B D C A C B A E
23 Unit 6: Quadrilaterals And remember the Trapezoid It is NOT a Parallelogram! It has its own Properties. Ex: Find the value of x in the figure. x + 10 = 1 ( ) (Why?) 2 x + 10 = 1 2 (44) x + 10 = 22 x = 12
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