Terminology Terminology Section 1.4

Warm upWarm up

Very Important. 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: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 ImportantVery Important

AB = XYThe 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 SegmentsMeasuring SegmentsTo find the distance b/w two points on a

number line, take the absolute value of the difference of the two points.

FindFind1. PQ 2. QR 3. RP 4. RT5. QX 6. RY 7. SQ 8. TY

Pythagorean TheoremPythagorean Theorem

a² + b² = c²Only works for Right Triangles

a and b represent the legs: touch the right angle

c represents the hypotenuse: opposite the right angle

Pythagorean TripletPythagorean Triplet3 – 4 – 55 – 12 – 13

These and any multiples of these are Pythagorean triplets.

Find the length of the Find the length of the missing side.missing side.

Segment Addition Segment Addition PostulatePostulateIf 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 FormulaDistance FormulaDistance 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.