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Chapter 1 Review

Chapter 1 Review. Make sure you know how to:. Factor to solve word problems Define and draw examples of any vocabulary words Explain in words why you did what you did. Lesson 1. E. A. B. How many planes are in the figure? Name all planes in the figure

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Chapter 1 Review

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  1. Chapter 1 Review

  2. Make sure you know how to: • Factor to solve word problems • Define and draw examples of any vocabulary words • Explain in words why you did what you did

  3. Lesson 1 E A B • How many planes are in the figure? Name all planes in the figure • Name 3 collinear points. Explain how you know they are collinear • Name 4 non-coplanar points. Explain. • Name a line that intersects plane Y G F D Y C

  4. Lesson 2 Find a if AB = 4a + 10, BC = 3a – 5, and AC = 19. C. Find x and SU if T is between S and U, ST = 7x, TU = 42, and TU = 5x – 3.

  5. Lesson 3 • Given the ordered pairs, find the distance and midpoint • A(1, 4) B(3, 6) • A(-5, -3) B(-7, -3) • Use the number line for each question • Find the distance for AH and DB • Find the midpoint for CE and GA A B C D E F G H -5 0 5

  6. Lessons 4 & 5 C B A D G • Name a pair of obtuse vertical angles • Name a pair of acute vertical angles • Name a pair of supplementary angles • Name a pair of complementary angles • If angle AGF= 3x-8 and angle CGD=x+24, find x and the measure of angle AGF • If angle BGD=3a+33 find a • If ray GC is an angle bisector then what is the measure of angle BGC? E F

  7. More Lessons 4 & 5 • If two angles are supplementary and the measure of one angle is 5 more than 4 times the other, what are the measures of the angles? • If angles 1 & 2 are complementary and angle 2 is 10 more than 3 times angle 1, what is the measure of each • If two angles form a linear pair and they are congruent then what are the measures of the angles? • If two angles are supplementary and one angle is equal to half the other angle plus 18, what are the measures of the angles?

  8. Answers • Slide 1 • 4 planes: Planes Y or FGD, EGD, EGF, and EFD • Points A, B, C are collinear because the all share the same line • Points A, G, D, and E (or A or C) are non-coplanar because E is not in the plane with A, G, and D. • Line AC

  9. Answers • Slide 2 • a = 2 • x = 9, SU = 105

  10. Answers • Slide 3 • (2, 5) • 2 (-6, -3) • AH = 16 DB = 5 • Mdpt of CE = 0 mdpt of GA = -3/2

  11. Answers • Slide 4 • Angles AGC and FGD • Angles AGF and CGD • Angles AGF and FGD/AGC Angles AGB and BGD Angles CGD and ACG/DGF • Angles BGC and CGD • 3x-8=x+24, x=16, angle AGF=40 • 45 degrees each

  12. Answers • Slide 5 • 5+4x+x=180 5+5x=180, x= 35, angles= 35 and 145 • X+3x+10= 90 4x+10=90, x=20, angles = 20 and 70 • 90 degrees each • x+ 1/2x +18=180 3/2x +18=180, x=108, angles = 108 and 72

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