Terminology Section 1.4. Warm up Very Important. = means Equal (Measurements are exactly the same) ≅ congruent (physical object is the same size and.

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Presentation transcript:

Terminology Section 1.4

Warm up

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)

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

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?

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.

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 1. PQ2. QR3. RP4. RT 5. QX6. RY7. SQ8. TY

Pythagorean Theorem a ² + b ² = c ² Only works for Right Triangles a and b represent the legs: touch the right angle c represents the hypotenuse: opposite the right angle

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

Find the length of the missing side.

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.

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

If U is between T and B, find the value of x and TU. A)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

Distance Formula Distance between 2 points on a coordinate plane.

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

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