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Math AIMS Blitz

Math AIMS Blitz. Geometric Concepts Thursday, March 25 Those interested in taking the on-line test. Period 1. reflection isosceles scalene equilateral triangle acute triangle. Define or draw. midpoint perimeter bisect dilation rotation. Period 1 ANSWERS. Define.

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Math AIMS Blitz

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  1. Math AIMS Blitz Geometric Concepts Thursday, March 25 Those interested in taking the on-line test

  2. Period 1 • reflection • isosceles • scalene • equilateral triangle • acute triangle Define or draw. • midpoint • perimeter • bisect • dilation • rotation

  3. Period 1 ANSWERS Define. • midpoint point which cuts a segment in half • perimeter distance around a figure • bisect cut something into half (2 equal parts) • dilation to make smaller or larger • rotation spin • reflectionmirror image • isoscelestwo equal sides • scaleneno equal sides • equilateral triangletriangle with all equal sides (equal angles, too) • acute triangletriangle with all angles less than 90 degrees

  4. Period 2 • decagon • rhombus • acute angle • obtuse angle • right angle Define or draw. • quadrilateral • trapezoid • hexagon • pentagon • octagon

  5. Period 2 ANSWERS Define. • quadrilateral 4-sided polygon (closed shape with straight lines) • trapezoid quadrilateral with only one pair of parallel sides • hexagon 6-sided polygon • pentagon 5-sided polygon • octagon 8-sided polygon 6. decagon 10-sided polygon 7. rhombus quadrilateral with all equal sides • acute angle angle measuring less than 90 degrees • obtuse angle angle measuring more than 90 degrees • right angle angle measuring 90 degrees

  6. Period 3 1. Look at the triangle. 5 4 What is not a possible value of x? x + 2 a. 0 b. 3 c. 5 d. 7 • In the diagram, RT intersects QU at point S. Q Which postulate should be used to prove that T∆RQS  ∆TUS R S a. Side-Side-Side b. Angle-Side-Angle U c. Angle-Side-Side d. Side-Angle-Side 3. In the diagram, MT bisects AH at point T. M Which postulate should be used to prove that ∆MAT  ∆MHT a. Side-Side-Side b. Angle-Side-Angle A T H c. Angle-Side-Side d. Side-Angle-Side

  7. Period 3 x+2 has to be less than 5 + 4 and greater than 5-4 1. Look at the triangle. 5 4 What is not a possible value of x? x + 2 a. 0 b. 3 c. 5 d. 7 • In the diagram, RT intersects QU at point S. Q Which postulate should be used to prove that T∆RQS  ∆TUS R S a. Side-Side-Side b. Angle-Side-Angle U c. Angle-Side-Side d. Side-Angle-Side 3. In the diagram, MT bisects AH at point T. M Which postulate should be used to prove that ∆MAT  ∆MHT a. Side-Side-Side b. Angle-Side-Angle A T H c. Angle-Side-Side d. Side-Angle-Side A S A A S A Mark what is given as A for Angle or S for Side and then compare to answers. S S S S S S

  8. Distance between two points: Midpoint between two points: Period 4 • Points ( 4, 9) and (1, 5) lie on a coordinate plane. What is the distance between the two points? 3. Points ( -1, 5) and (1, -4) lie on a coordinate plane. What is the distance between the two points? 1. The coordinates (2,2) and (-3, 1) are two of the vertices of the figure on the coordinate plane.

  9. Distance between two points: Midpoint between two points: Period 4 ANSWERS • Points ( 4, 9) and (1, 5) lie on a coordinate plane. What is the distance between the two points? 3. Points ( -1, 5) and (1, -4) lie on a coordinate plane. What is the distance between the two points? 1. The coordinates (2,2) and (-3, 1) are two of the vertices of the figure on the coordinate plane.

  10. N Q S M R P • Chords NP and MQ intersect at point S in circle R. If MS = 3, NS = 6, and SQ = 8, what is the length of SP? • a. 9 b. 12 c. 14 d. 4  Period 5 1. Look at circle M. 4 8 What is the value of x? x 6 M a. 4 b. 8 c. 9 d. 12

  11. N Q S M R P • Chords NP and MQ intersect at point S in circle R. If MS = 3, NS = 6, and SQ = 8, what is the length of SP? • 3 x 8 = 6 x what number? • a. 9 b. 12 c. 14 d. 4  Period 5 ANSWERS 1. Look at circle M. 4 8 What is the value of x? x 6 x 8 = 4 x what number? 6 M a. 4 b. 8 c. 9 d. 12

  12. Period 6 2. The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square? a. 2 times as long b. 4 times as long c. 8 times as longs d. 16 times as long 3. Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of ¼ to create figure E’F’G’H’. What statement about the perimeter (P) and the area (A) of figure E’F’G’H’ is true? a. P = 10 cm; A = 6 cm2 b. P = 10 cm; A = 24 cm2 c. P = 160 cm; A = 102 cm2 d. P = 160 cm; A = 384 cm2 • How much greater is the volume of a cube when the length of each side is multiplied by 3? a. 3 times as great b. 6 times as great c. 9 times as great d. 27 times as great

  13. Period 6 ANSWERS • How much greater is the volume of a cube when the length of each side is multiplied by 3? Since volume is 3 dimensional, take the amount multiplied by itself 3 times. a. 3 times as great b. 6 times as great c. 9 times as great d. 27 times as great 2. The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square? Since area is 2 dimensional, find the square root of the area. a. 2 times as long b. 4 times as long c. 8 times as longs d. 16 times as long 3. Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of ¼ to create figure E’F’G’H’. What statement about the perimeter (P) and the area (A) of figure E’F’G’H’ is true? The factor is ¼… divide the dimensions by 4 and the area (2 dimension) by 42 or 16. a. P = 10 cm; A = 6 cm2 b. P = 10 cm; A = 24 cm2 c. P = 160 cm; A = 102 cm2 d. P = 160 cm; A = 384 cm2

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