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Terminology

Terminology. Section 1.4. Very Important. = means Equal (Measurements are exactly the same) ≅ congruent (physical object is the same size and shape) means approximately (rounding your answer so what you write down is not exact). This is a line.

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Terminology

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  1. Terminology Section 1.4

  2. Very Important. • = means Equal (Measurements are exactly the same) • ≅ congruent (physical object is the same size and shape) • means approximately (rounding your answer so what you write down is not exact)

  3. This is a line. • A Line segment is part of a line that contains endpoints. • Can be named or

  4. Very Important: • is the actual line segment. It is the physical object. • is the measure (distance) of segment XY. • How do you write segment AB? • How do you write the measurement of segment AB?

  5. Very Important AB = XY The measure of segment AB is equal to the measure of segment XY. The physical line segment AB is congruent to the physical line segment XY.

  6. Measuring Segments • To find the distance b/w two points on a number line, take the absolute value of the difference of the two points. • Find Find 1. PQ 2. QR 3. RP 4. RT 5. QX 6. RY 7. SQ 8. TY

  7. Pythagorean Theorem a² + b² = c² Only works for Right Triangles a and b represent the legs: touch the right angle c represents the hypotenuse: opposite the right angle

  8. Pythagorean Triplet • 3 – 4 – 5 • 5 – 12 – 13 • These and any multiples of these are Pythagorean triplets.

  9. Find the length of the missing side.

  10. Day 2 Distance

  11. Warm up

  12. Segment Addition Postulate • If Q is between P and R, PQ + RQ = PR. Find HK if J is between H and K, HJ = 17, and JK = 6.

  13. Let L be between N and M. Find LM if NL = 6x -5, LM = 2x + 3, and NM = 30.

  14. If U is between T and B, find the value of x and TU. • TU=2x, UB=3x+1, TB=21 • B) TU=4x-1, UB=2x-1,TB=5x • C) TU=1-x, UB=4x+17,TB= -3x

  15. Distance Formula • Distance between 2 points on a coordinate plane.

  16. A) Find PQ if P(-3,-5) and Q(4,-6). B) Find VS if V(-4,-3) and S(-4,3).

  17. C) Find DB. D) Find AC. E) Find AB.

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