# Unit #1: Algebra In Geometry - Humbleisd

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Name KEY – TEACHER’SFall Semester SummaryUnit #1: Algebra in Geometry1. Point H is the midpoint of line segment TE. The coordinates of H are (-1, 1) and the coordinates of theone endpoint is (-7,-4). Find the coordinates of the other endpoint.(5,6)2. If the midpoint is (7, 5) and one endpoint is (5, -6), what is the other endpoint?1 11 A. 6, B. 1, C. (19, 4 )D. ( 9,16 )2 2 3. Find the length of GO if G ( 1,1) and O ( 3, 4 ) .5.394. Find the length of BE if B ( 3,3) and E ( 15,17 )18.445. Find the midpoint of MS if M ( 4,10 ) and S (12,8 )(4,9)6. Find the midpoint of AC if A ( 2,3) and C ( 5, 3) .(1.5,0)7. What are the ordered pairs of the points on the graph?F (-3, 5)I (0, 0)S (-6, -2.5)H (5, -5)8. y 1x 329. y 3210. y x 13

11. Sketch a line for each of the following slopes:a. Negativeb. PositiveC. UndefinedD. ZeroUnit #2: Notations and SegmentsL1. Find LM.-3M-11375119LM 8CB2. Find the length of BC ?A) 8–9–8–7–6–5–4B) 9–3–2–101C) 10D) 203. Name the Plane in all ways possible.DADC, ABC, DBC, and PBCAP4. Which of the following incorrectly names the given plane?A) WACB) ACRC) PD) TACRWCATP5. Given the line segment, solve for y.3y – 42y 5Ay 3B7y – 56. E is the midpoint of DF , DE 2x 4, and EF 3x–1. Find DE, EF and DF.DE 14, EF 14, DF 287. E bisects DF , DE 2y, and EF 8y – 3. Find DE, EF, and DF.DE 1, EF 1, DF 28. O is between D and G. If DO 17.8 and DG 25.9, what is OG?8.19. B is between A and C. AB 32 and CB 23 Find AC.55C

Unit #3: AnglesAm ABD 28 , m DBC (5x 2) m ABC (9x – 10) Find m DBC.1.Dm DBC 52 CB2.P is in the interior of IJK m IJP 17 and m PJK (4x – 4) and m IJK (6x – 5) Findm PJK .ILPm PJK 32 J3.Write an equation showing each of the following definitions:a. Supplementary anglesb. Complementary anglesm 1 m 2 180 4.5.m 1 m 2 90 Which of the following equations correctly shows the definition of complementary angles?A) m 1 m 2 90B) m 1 m 2 m 3C) 1 2 90D) m 1 m 2 180Find m 1 and m 212m 1 122 & m 2 58 122 146.If m 1 (2x 45) and m 3 (5x – 45) , find m 1 .23m 1 105 7.If m 1 (10 x 6) and m 2 (10 x 6) , find m 1m 1 90 14238.What is the supplement of a 56 angle?124 9.34 KWhat is the compliment of a 56 angle?

10. Find m ABC if BD is an angle bisector.A(4a 13) m ABC 146 D(7a – 32) BC 11. Find m ABD if BD is an angle bisector and m ABC 176 ADm ABD 88 BUnit #4: LogicCUse the conditional statement below to answer questions 1 – 5.If today is Sally’s birthday, then she will eat cake.1. Identify thehypothesis:Today is Sally’s birthday2. Identify theconclusion:She will eat cake3. Write the inverse:If today is not Sally’s birthday, then she will not eat cake.4. Write the converse:If she will eat cake, then it is Sally’s birthday.5. Write thecontrapositive:If she will not eat cake, then it is not Sally’s birthday.

Use the conditional statement below to answer questions 6 - 10.If an animal is a dog, then it has a wet nose.6. Identify thehypothesis:An animal is a dog7. Identify theconclusion:It has a wet nose8. Write the inverse:If an animal is not a dog, then it does not have a wet nose.9. Write the converse:If an animal has a wet nose, then it is a dog.10. Write thecontrapositive:If it does not have a wet nose, then it is not a dog.11. 40 inches12.Grows about 25 in per yearMatch each conditional statement with the algebraic property that would be used to prove the conclusion. NOTE:All answer choices will be used, none will be repeated.A. ReflexiveB. SymmetryC. DistributiveE what is DE?DE 7.8

13. Tell whether a triangle can have sides with lengths 3.2, 4.7, and 7.2. EXPLAINYes, because 7.9 7.214. Ray wants to place a chair so it is 15 ft. from his television set. Can the other two distances shown be 6 ftand 3 ft? EXPLAIN.No, because 9 is not bigger than 1515.CFind ED13DEC16. Find AB88A44EBDAB26Unit #8: Right Triangles and Radicals1. A 15 foot ladder is 5 feet from the base of a building. At what height does it touch the building?x 10 2 14.142. An 10 ft. ladder is leaning up against a building. The top of the ladder hits the building at 7 ft. above theground. How far away from the building is the bottom of the ladder?x 51 7.14For 3-4, find the missing side of the right triangle. Put answer in SIMPLEST RADICAL FORM.T3. 6A4. 3 7xR28M8k12 ft.9 ft.IASimplify5. 144-126.183 27. 5 4515 5Multiply8. ( 3 )( 15 )3 59. -2 3 25 10 310.( 7)27

Divide and Rationalize11.753532412.213.5125 36Find the missing side of the special right triangles. All answers should be in simplified radical form.(8 ptseach)14.815.316.60 4 582 53 368 230 45 17.2 1518.19.4 345 63 3105 24 660 34 345 5 220. A kite string is 220 feet long from the kite to the ground. The string makes a 45 angle with the ground.About how high off the ground is the kite?x 110 2 155.56

Unit #3: Angles 1. m ABD 28 , m DBC (5x 2) m ABC (9x – 10) Find m DBC. m DBC 52 2. P is in the interior of IJK m IJP 17 and m PJK (4x – 4) and m IJK (6x – 5) Find m PJK. m PJK 32 3. Write an equation showing each of the following definitions: a. Supplementary angles b. Complementary angles

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