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Download Geometry Semester Test Review CHAPTER 1 1.2 Points Lines and
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Geometry Semester Test Review CHAPTER 1 1.2 Points Lines and Planes Use the figure to answer the following questions 1) Name two intersecting lines 2) Name the intersection of planes QRBA and TSRQ 3) Name three noncollinear points 1.3 Measuring Segments 4) Find the value of m 1.4 Measuring Angles Classification of angles (right, acute, obtuse, straight) Use the diagram to answer the following questions 5) mMQR 61 and mMQP 25 , find mPQR 1.5 Exploring Angles Pairs Name a pair of each of the following 11) x= 1.7 Midpoint and Distance 12) Find the Distance between the points to the nearest tenth A(1,5), B(0, 4) 13) Find the Midpoint between the points to the nearest tenth A(3, 2), B(3, 2) 1.8 Perimeter, Circumference, and Area Find the perimeter of each figure 14) Perimeter = CHAPTER 2: 2.1 Patterns and Inductive Reasoning Find a pattern for the sequence. Describe the pattern, and show the next two terms 15) 1000, 100, 10, … Find a counterexample to show the conjecture is false 16) The product of any integer and 2 is greater than 2. 2.2 Conditional Statements Write each sentence as a conditional 17) All motorcyclists wear helmets 6) 7) 8) 9) Complementary angles Supplementary angles Vertical angles Linear pair Find the value of x 10) x= Write the converse, inverse, and contrapositive of the given conditional statement. Then determine the truth value 18) If you play the tuba, then you play an instrument. 2.3 Biconditionals and Definitions Determine whether each statement is a good definition 19) A newspaper has articles you read. 2.4 Deductive reasoning Use the Law of Detachment of Lay of Syllogism to make a conclusion 20) If you practice tennis every day, then you will become a better player. Collin practices tennis every day. 21) If you father buys gardening gloves, then he will work in his garden. If he works in his garden, then he will plant tomatoes 2.6 Proving Angles Congruent 3.3 Proving Lines Parallel Use the given information to decide which lines, if any are parallel. Justify. 29) 1 9 30) m3 m6 180 3.4 Parallel and Perpendicular Lines Know what Parallel and Perpendicular mean 22) Find the value of 7 23) Find mAEC 24) Find mAEB CHAPTER 3: Lines and Angles 3.1 Classify the angle pair formed by <1 and <2 25) Classification 26) Classification 3.2 Properties of Parallel Lines Find m1 and m2 . Justify your answer. 27) . 28) . 3.5 Parallel Lines and Triangles Find the values of the variables 31) x= y= 3.7 Equations of Lines in the Coordinate Plane 32) Find the slope passing through (6, 2),(1,3) 1 33) Write an equation of the line with slope 2 and y-intercept 12 3.8 Slopes of Parallel and Perpendicular Lines 34) Write an equation of the line parallel to y 8x 1 that contains (6, 2) 35) Write an equation of the line perpendicular 1 to y x 4 that contains (3, 3) 6 CHAPTER 4 Congruent Figures WXYZ PQRS Find each measure or length. 36) mP 37) QR 4.2/4.3 Triangle Congruence by SSS, SAS, ASA, AAS Which postulate or theorem, if any, could you use to prove the two triangles congruent? If there is not enough information to prove the triangle congruent, write not enough information 38) . 4.5 Find the Values of x and y 44) x= y= 45) x= y= 39) . 40) . 41) . 4.4 Using Corresponding Parts of Congruent Triangles How can you use congruent triangles to prove the statement true? 42) TV YW 4.6 Congruence in Right Triangles 46) Given: LN KM , KL ML Prove: KLN MLN 4.7 Congruence in Overlapping Triangles Name a pair of overlapping congruent triangles. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL 47) . CHAPTER 5 5.1 Midsegments of Triangles 48) Find the value of x 43) BE DE 5.2 Perpendicular and Angle Bisectors 49) Find y, ST, and TU 5.3 Bisectors in Triangles 50) Fid the coordinates of the circumcenter 5.4 Medians and Altitudes 51) Determine whether AB is a median, altitude, or neither. EXPLAIN 52) Determine whether AB is a median, altitude, or neither. EXPLAIN 5.6/5.7 Inequalities in Triangles 56) List all of the angles in order from smallest to greatest 57) List the sides of the triangle in order from shortest to longest 58) Can a triangle have sides with the given lengths? Explain! 2 in, 3 in, 6in 59) Find the range of possible lengths for the third side. 8 ft., 12 ft. 53) Name the centroid 54) Name the orthocenter 60) Write an inequality relating the side lengths. If there is not enough information to reach a conclusion, write no conclusion. CHAPTER 6 6.1 The Polygon Angle-Sum Theorems 61) Find the sum of the interior angle measures in a octagon 6.2 Properties of Parallelograms 62) Find the value of d in the parallelogram. 5.5 Indirect Proof 55) Which two statements contradict each other: 6.3 Proving a Quadrilateral is a Parallelogram 63) For what value of x must ABCD be a parallelogram? 6.4 Properties of Rhombuses, Rectangles, and Squares 64) Find the measures of the numbered angles 6.5 Conditions for Rhombuses, Rectangles, and Squares 65) For what value of x is quadrilateral AXYZ a rectangle? 6.6 Trapezoids and Kites 66) XY is the midsegment of trapezoid HILM. What is XY? 6.8 Applying Coordinate Geometry 67) Find the coordinate of X