1 / 18

Terminology

This guide outlines essential geometric terminology, including the definitions of equal, congruent, and approximate measures. It explains line segments, their representation, and the relationship between physical objects and their measurements. The Pythagorean Theorem is introduced, detailing how to identify right triangles and calculate missing sides using triplets. It also covers the Segment Addition Postulate and the Distance Formula for finding lengths between points on a number line and coordinate plane, providing practical examples for better comprehension.

dylan-franks
Télécharger la présentation

Terminology

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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.

More Related