Honors Geometry Final Review Topics 2012
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1 Honors Geometry Final Review Topics 2012 Triangle ongruence: Two olumn Proofs Quiz: Triangle ongruence 2/13/2012 Triangle Inequalities Quiz: Triangle Inequalities 2/27/2012 enters in a Triangle: ircumcenter, Incenter, entroid, Orthocenter Problem Set: enters in a Triangle Quiz: enters in a Triangle 3/12/2012 Special Right Triangles: or Quiz: Special Right Triangles Part I: hart 3/28/2012 Quiz Special Right Triangles Part II: M 3/29/2012 Properties of Quadrilaterals: Parallelogram, Rhombus, Rectangle, Square, Kite, Trapezoid Problem Set: Properties of Parallelograms Quiz: Properties of Parallelograms 4/19/2012 Similarity Quiz: 5/4/2012 ll about ircles Quiz: ngle Puzzle 5/15/2012 Quiz: Segments 5/22/2012 rea Quiz: 6/4/2012
2 Triangle ongruence: E 1. Given: 3 4 EF E Prove: FE E F STTEMENTS RESONS
3 Given: R Q 5 6 RS QT Prove: 1 3 R 4 S T Q STTEMENTS RESONS
4 Triangle Inequalities 1. Two sides of a triangle have lengths 15 cm and 19 cm. Which measurement could be the length of the third side?. 36 cm. 4 cm B. 6 cm. 40 cm 2. Which statement is false? R. m RTV > m 1 B. m 2 > m 5. m 4 > m 6. If m 1 < m 3, then m 6 > m 1 3. Which statement must be true?. m 6 < m 1 B. m 8 < m 4. If m 5 = 90, then <. If m 9 > m 6, then < E 4. Which cannot be the lengths of the sides of a triangle?. 12, 9, 5 B. 11, 18, 2. 2, 3, 4. 3, 7, ompare YW to YX. B T V Y E U. YW = YX B. YW < YX. YW > YX. cannot tell X W Z
5 W enters in a Triangle 1. Name a median. P Q U R V S T. SV B. QT. RU. RW 2. Name a perpendicular bisector.. SV B. QT. RU. RW 3. Name an angle bisector.. SV B. QT. RU. RW 4. Name an altitude.. SV B. QT. RU. RW 5. If point N is the centroid of HIJ, IM = 21, KN = 5, and HL = 18, find JN. I K N L H M J 6. Given B with vertices ( 2, 6), B( 4, 2), and ( 8, 6), find an equation for the perpendicular bisector of.. y = 2 9 x y = 0 B. y = 1 2 x 5 2. y = 1 2 x
6 7. Given XYZ with vertices X ( 9, 2), Y ( 7,10), and Z ( 0, 7), find the equations of the three medians and the coordinates of the centroid of XYZ. 10 Y X Z Special Right Triangles 1. Find the length of a leg of a right isosceles triangle given the hypotenuse has a length of B Find x and y. y x B 3. Find x and y. 48 x E 30 y 45 F
7 4. Find x and y y x B E 5. Special Right Triangle hart Given: BE is a square F B Let F = x F omplete the chart: B x B P FE B F formula
8 Properties of Quadrilaterals: Parallelograms, Rhombi, Rectangles, Squares, Kites, Trapezoids. Properties of Parallelograms: Properties of Rhombi: Properties of Rectangles: Properties of Squares: Properties of Kites: Properties of Isosceles Trapezoids:
9 1. Find x and y so that B will be a parallelogram.. x = 20, y = 22 B. x = 6, y = 42. x = 6, y = 22. x = 20, y = x 24 y-10 B 2. B is a parallelogram with diagonals intersecting at E. If E = 4 x 8 and E = 36, find x.. 7 B B is a parallelogram with ( 5, 4), B( 1, 2), and ( 8, 2). Find the coordinates of.. ( 5,4) B. ( 8,2). ( 14,4). ( 4,1) 4. B is a rectangle with diagonals and B. If = 2 x + 10 and B = 56, find x.. 23 B Find m MNP in isosceles trapezoid MNOP.. 52 B The length of one base of a trapezoid is 19 meters and the length of the midsegment is 23 meters. other base.. 15 m B. 21 m. 27 m. 42 m 7. The bases of a trapezoid are 12 and 26. Find the length of the midsegment.. 12 B
10 Similarity 1. Rectangle B has a width of 10 feet and a length of 18 feet. Rectangle QRST, which is similar to rectangle B, has a length of 45 feet. Find the perimeter of rectangle QRST.. 56 feet B. 140 feet feet. 98 feet 2. Each pair of polygons is similar, find the value of x and y.. x = 7, y = 2 B. x = 3, y = 2. x = 7, y = 4. x = 5.2, y = 2.24 x-2 T G K B 20 P 10.5 W M O 4y+1 3. Find the measure of GF. G F 3x-2 I 144 H 4. Find the value of QT. Q P R x+2 6 S T 5. JH is a midsegment of KLM. Find the value of JH. L J 3x H K 5x+3 M
11 ll about ircles ngle Puzzle Given: O is the center m FB = 80 FH is tangent at m EB = 85 FG is tangent at B m B = 65 GM is tangent at m E = 40 mb = 100 m EB = 95 B F K O Q N P M E H 1. m B = 2. m EB = 3. m E = 4. m E = 5. m E = 6. m = 7. m EB = 8. m B = 9. m BF = 10. m B = 11. m KE = 12. m EB = 13. m E = 14. m EH = 15. m EKB = 16. m BG = 17. m GB = 18. m ME = 19. m NE = 20. m E = 21. m E = 22. m O = 23. m O = 24. m OE =
12 Segments Quiz 1. Two secants are drawn to a circle from an outside point. The length of one secant is 20 and the length of its external segment is 5. If the length of the other secant is 25, find the length of its external segment. 2. tangent and a secant are drawn to a circle from the same external point. If the length of the tangent segment is 10 and the length of the external segment of the secant is 4, find the length of the internal segment of the secant. 3. In circle O, chord is bisected at S by chord EF. If ES = 16 and SF = 4, find the length of chord. S F E O rea **See Quiz! **Memorize area formulas! **Know shaded area!
13 .
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