1 / 32

Quarterly Assessment # 2

Quarterly Assessment # 2. Assessment 2 Geometry Answers. Review QA # 1. “If a quadrilateral has four equal sides, then that quadrilateral is a square.” Draw me a counterexample to the statement above. Which of the following best describes the triangle below? Are they congruent? Similar?.

sirvat
Télécharger la présentation

Quarterly Assessment # 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Quarterly Assessment # 2 Assessment 2 Geometry Answers

  2. Review QA # 1 • “If a quadrilateral has four equal sides, then that quadrilateral is a square.” Draw me a counterexample to the statement above. • Which of the following best describes the triangle below? Are they congruent? Similar? They are similar Not Congruent 35° 6 6 35° 3 3

  3. Review QA # 2 • Draw me 2 shapes that are similar but NOT congruent? • Are these shape Similar? Congruent? a. b. c. d. a. Congruent b. Neither c. Congruent d. Similar

  4. 4 7 ? Review QA # 3 3<X<11, Perimeter : 14<y<22 • A triangle has sides with lengths of 4 and 7 inches. Which of the following could be the perimeter of the triangle? • A triangle has sides with lengths of 7 and 10 inches. Which of the following could be the perimeter of the triangle? 3. A triangle has sides with lengths of 11 and 17 inches. Which of the following could be the perimeter of the triangle? 3<X<17, Perimeter: 20<y<34 6<X<28, Perimeter: 34<y<56

  5. 3 12 ? Bell Work • A triangle has sides with lengths of 3 and 12 inches. Which of the following could be the perimeter of the triangle? • A triangle has sides with lengths of 6 and 10 inches. Which of the following could be the perimeter of the triangle? 3. A triangle has sides with lengths of 10 and 17 inches. Which of the following could be the perimeter of the triangle? 9<X<15, Perimeter: 24<y<30 4<X<16, Perimeter: 20<y<32 7<X<27, Perimeter: 34<y<54

  6. 3x + 43 x + 55 6x + 43 4x + 43 5x + 15 5x + 60 5x + 13 8x + 13 Review QA # 4 X= 17, 1-side = 145 • What is the length of a side of the square below? a. b. c. d. X= 15, 1-side = 88 X= 7 ½ , 1-side =73 X= 10, 1-side = 65

  7. Review QA # 5 E B A C D F • In the triangles below, AB=DE and BC=EF. What additional information would be enough to prove that triangle ABC and DEF are congruent? Side AC ~DF: SSS Angle <B~<E : SAS

  8. Review QA # 6 • In the figure below, • If JK = LM, what will prove that JKL and JML are congruent? b. If JM = KL, what will prove that JKL and JML are congruent? Angle <1 ~<4: SAS Side KL ~ JM: SSS J K 1 3 2 Angle <3 ~<2: SAS Side JK ~ LM: SSS 4 M L

  9. Review QA # 7 K J L M • In the figure below, KL = JM. What postulate or theorem could be used to prove triangle JKL =LMJ? Side Angle Side

  10. Review QA # 8 Warm Up # 5 √290 √65 √117 √208 • A right triangle has legs of lengths 6 and 9. What is the length of the hypotenuse? • A right triangle has legs of lengths 8 and 12. What is the length of the hypotenuse? • A right triangle has legs of lengths 4 and 7. What is the length of the hypotenuse? • A right triangle has legs of lengths 11 and 13. What is the length of the hypotenuse?

  11. Review QA # 9 • Each diagonal of a rhombus bisects two angles of the rhombus. • The diagonals of a rhombus are perpendicular. • If one diagonal of a parallelogram are perpendicular, then the parallelogram is a rhombus. • If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. • All sides are equal and it’s a parallelogram. • Which of the following statements would prove that ABCD is a rhombus? • What type of triangle is formed by the points A(2, 3), B(2, -3) and C(5, 0)? • What type of triangle is formed by the points A(–1, -1), B(2, -3) and C(5, 0)? • What type of triangle is formed by the points A(0, 5), B(2, 0) and C(0, 0)? Isosceles Scalene Right Triangle

  12. Bell Work • If we have a parallelogram EFGH. Which of the following statements would prove that EFGH is a rhombus? Draw a Parallelogram, then a rhombus. • What type of triangle is formed by the points A(2, 4), B(2, -4) and C(5, 0)? • What type of triangle is formed by the points A(–1, -1), B(1, -3) and C(5, 0)? • What type of triangle is formed by the points A(0, 5), B(4, 0) and C(0, 0)? • All sides are equal. Isosceles Scalene Right Triangle

  13. 5 25 26 ? ? ? 3 7 10 Review QA # 10 • A fence built around a field has the dimensions shown below. • What is the approximate length of the entire fence? a. b. c. c. ? = 24 , Perimeter= 60 b. ? = 24 , Perimeter= 56 • ? = 4 , • Perimeter= 12

  14. G 1 J F 3 2 5 4 H 6 K Review QA # 11 • What additional information will be sufficient to prove that triangle GFH and JFK are similar? Remember we just need 2 angle to be congruent to have 2 similar triangles. Angle <5 ~<1: AAA Angle <6 ~ <2: AAA

  15. Review QA # 12 N Y M X O Z In the triangle below, XY = MN and <X = < M. • Which additional information would be sufficient to prove that both triangle are congruent? • Which additional information would NOT be sufficient prove both triangle are congruent? 1)Side XZ~ MO: SAS Angle <Z~<O : Yes AAS <Y ~<N : ASA 2) Side YZ ~ NO: NO ASS

  16. Review QA # 13 • What values of x and y make quadrilateral EFGH a parallelogram? Hint : Opposite sides are congruent. a.` b. 3x + 4y x – y E E F F 2 26 -x + 2y 4x + y 4 24 H H G G x = 4 y= 3 x = 6 y= 2

  17. Bell Work • What values of x and y make quadrilateral EFGH a parallelogram? Hint : Opposite sides are congruent. a. b. x + y 3x + 6 E E F F 9 11 2x + 3y x + 2y 7y 4 H H G G x = 5 y= 3 x = 3 y= 1

  18. Bell Work Warm Up # 5 √290 √65 √117 √208 • A right triangle has legs of lengths 6 and 9. What is the length of the hypotenuse? • A right triangle has legs of lengths 8 and 12. What is the length of the hypotenuse? • A right triangle has legs of lengths 4 and 7. What is the length of the hypotenuse? • A right triangle has legs of lengths 11 and 13. What is the length of the hypotenuse?

  19. Review QA # 14 If EFGH is a rhombus, solve for z? a. b. (x, y) (3, 4) E E F F (3+z, 4) (x+z, y) H H (z,0) (z,0) (0,0) (0,0) G G a2 + b2 = c2 32 + 42 = z2 Z=5 a2 + b2 = c2 x2 + y2 = z2

  20. Review QA # 15 If EFGH is a rhombus, solve for z. Then find Slope for FH and EG. Then multiply FH and EG. a. What do you notice about FH and EG? (3, 4) E F (3+z, 4) • Z = 5 • FH = ½ EG=-2 • FH x EG = -1 • Perpendicular H (z,0) (0,0) G

  21. Bell Work If EFGH is a rhombus, solve for z. Then find Slope for FH and EG. Then multiply FH and EG. a. What do you notice about FH and EG? (5, 12) E F (5+z, 12) • Z = 13 • FH =2/3 EG=-1 ½ • FH x EG = -1 • Perpendicular H (z,0) (0,0) G

  22. Review QA # 16 Warm Up # 9 If EFGH is a parallelogram, what are the coordinates of point E? a. b. (?, ?) (?, ?) E E F F (y, z) (6, 4) H H (5,0) (x,0) (0,0) (0,0) G G (1, 4) x = 6 – 5 =1 y= 4 (y – x , z)

  23. Review QA # 17 Warm Up # 9B • Which of the following facts would prove that EFGH and LMNO are similar? Hint: What should the ratio be for FG/MO, HG/NO ? What should <H and <G be congruent to ? If we have 2 parallel lines would it help? Which two? 6 F E 115 105 L 2 M 1) FG/MO = 1/3, HG/NO = 1/3 ,so FG and HG has to be three times as long as MO and NO. 105 9 115 3 2) <H = <N and <G = <O. We would only need 1 more angle congruent to prove that they are similar. N O H G 3) If EF || HG , and LM || NO. Then we can get <G=<O and <H = <N.

  24. Bell work A • Which of the following is not an undefined term use in geometry? • Triangle b. point c. line d. plane • Which of the following statements represents deductive reasoning? • Using logic to draw conclusions based on accepted statements. • Recognizing pattern in weather, then making a prediction based upon that pattern. • Singing “Yankee Doodle Dandy” to yourself. • Clark Gable • Which of the following statements represents inductive reasoning? • Using logic to draw conclusions based on accepted statements. • Recognizing a pattern in weather, then making a prediction based upon that pattern. • Reciting a Dr. Seus phrase to your neighbor. • Elvis Grabac. A B

  25. Bell Work 6 < X < 14 • A triangle has side lengths of 4 and 10 inches. What is the possible length for the third side? • A triangle has side lengths of 3 and 7 inches. What is the possible length for the third side? • A triangle has side lengths of 6 and 19 inches. What is the possible length for the third side? • A right triangle has legs of lengths 4 and 7. What is the length of the hypotenuse? • A right triangle has legs of lengths 11 and 13. What is the length of the hypotenuse? 4 < X < 10 13 < X < 25 √65 √290

  26. 3 7 ? Bell Work • A triangle has sides with lengths of 3 and 7 inches. Which of the following could be the perimeter of the triangle? • A triangle has sides with lengths of 6 and 10 inches. Which of the following could be the perimeter of the triangle? 3. A triangle has sides with lengths of 10 and 17 inches. Which of the following could be the perimeter of the triangle? 4<X<10, Perimeter: 14<y<20 4<X<16, Perimeter: 20<y<32 7<X<27, Perimeter: 34<y<54

  27. Review QA # 18 Warm Up # 10 Page 227 • Make a segment AB. • Put the tip of the compass on point A. • Open the pencil(with compass) tip so that it extend past point B. Then Draw an Arc. • Without adjusting the width of the compass, place the tip on point B and draw an arc that intersects the first arc at point C. • Draw a line segment from point A to C and from point B to C.

  28. Review QA # 19 Warm Up # 10B Page 271 • On a triangle ABC. Put the tip of the compass on to point B. • Open the pencil (with compass) tip so that it touches segment AC. Draw an arc. Label the intersection on AC point K and on AB point M. • Without adjusting the width of the compass. Place the tip on point K and draw an arc. Same with point M. • Where both arc intersects call it point H. • Lastly, make segment BH and that is the altitude.

  29. Review QA # 20 Warm-Up 10 C: Page 545: Pythagorean Theorem Proof.: Not drawn to scale y = 12.5 z = 6 X = 6 x • Find the area for Triangle x. • Find the area for Triangle y. • Find the area for Triangle z. • Find the area of x , y , z. • Find area of the trapezoid. • Find sum for triangle x, y, z. • Does answer number 6 have the same answer as number 5? 22 y 4 5 3 5 4 3 z 4)Area = 24.5 5) Area = 24.5 6) Area = 24.5 #5 and 6 = 24.5

  30. Review QA # 21 Warm-Up 21: Page 545: Pythagorean Theorem Proof. 4) =kj + ½ m2 X = ½ kj y = ½ m2 z = ½ kj x • Find the area for Triangle x. • Find the area for Triangle y. • Find the area for Triangle z. • Find the area of x , y , z. • Find area of the trapezoid. • Find sum for triangle x, y, z. • What happens when the Answer of problem 5 is equal to Answer of problem 6? 22 y j m k m k j z 5) = ½(k+J)(k+j) 6) =kj + ½ m2 4) ½(k+J)(k+j) =kj + ½ m2 K2 + J2 = M2

  31. You can work on Making up your QA’s • Sit quietly and work. • Have your homework ready for me to stamp.

More Related