warm up n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Warm Up PowerPoint Presentation
Download Presentation
Warm Up

Loading in 2 Seconds...

play fullscreen
1 / 23

Warm Up - PowerPoint PPT Presentation


  • 88 Views
  • Uploaded on

Warm Up. At a certain time of day, a 6 ft man casts a 4 ft shadow. At the same time of day, how long is the shadow of a tree that is 27 feet tall ? 3) ΔABC~ΔDEF. Solve for y . G. E. 2) Find JG . J. 6. x. H. 12. 4. F. D. A. 35 . 10 . Y. 14. 30°. 30°. C. B. F. E.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

Warm Up


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
warm up
Warm Up
  • At a certain time of day, a 6 ft man casts a 4 ft shadow. At

the same time of day, how long is the shadow of a tree that is 27 feet tall?

3) ΔABC~ΔDEF. Solve for y.

G

E

2) Find JG

J

6

x

H

12

4

F

D

A

35

10

Y

14

30°

30°

C

B

F

E

hw answers
HW Answers

P 385 #2-16 even

  • No; not enough info given

4) Yes, AA ~ Post. Triangle FHG ~ KHJ

6) No

8) Yes, SAS ~ Thm. Triangle NMP ~ NQR

  • AA~ Post; 7.5
  • AA~ Post; 12 5/6

14) AA ~ Post; 8

  • SAS ~ Thm. 12m

18) AA~ Post; 15 ft 9in

due at the end of class
Due at the end of class.

Practice 7-3 in Workbook p383

#1-12 all

  • Do problems in your notebook, Write the question for full credit!! Show all work.

Quiz Tomorrow on Proving Triangles Similar.

similarity in right triangles
Similarity in Right Triangles

Theorem: The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other.

Knowing this theorem, how can you solve for x and y.

x

y

4

5

geometric mean
Geometric Mean
  • Proportions in which the means are equal.
  • For any two positive numbers a and b, the geometric mean of a and b is the positive number x such that: a/x = x/b, then x = _____
  • Ex. Find the geometric mean of 4 and 18.
corollary to previous theorem
Corollary to previous theorem

Corollary 1: The length of the altitude of the hypotenuse of a right triangle is the geom. Mean of the lengths of the segments of the hypotenuse.

Corollary 2: The altitude of the hyp. Of a right triangle separates the hypotenuse so that the length of each leg of the triangle is the geom. mean of the length of the adjacent hyp. segment and the length of the hyp.

quiz assignment
Quiz/Assignment
  • Complete Quiz, when you are finished, give Ms. Malik your quiz and begin your homework assignment.
  • Due Wednesday
    • P 394 #2-20 even, 34-36
    • P 401 #1-23 odd (SHOW WORK!!)
    • Set up all proportions and show work for FULL credit.
warm up1
Warm Up

C

x

y

A

B

D

12

4

workbook practice 7 4
Workbook Practice 7-4
  • Whiteboards

# 1- 3

# 13 - 18

triangle proportionality theorem
Triangle Proportionality Theorem
  • If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Q

R

S

X

Y

example
Example

B

4

  • Find the value of x or y.

2.

G

1.

12

C

5

H

A

x

slide15

Find the value of x or y

S

L

M

  • You try on white boards.

y

4

2

3.

P

4.

Q

U

x

14

5

R

N

10

V

4

T

2 transversals proportionality corollary
2 Transversals Proportionality Corollary
  • If three parallel lines intersect two transversals, then the segments intersected on the transversals are proportional.

c

a

d

b

practice
Practice:

1. Find x and y

A

4

B

9

10

6

D

7.2

2.

Find the length of LN to the nearest tenth.

C

N

M

L

12

K

on whiteboards
On Whiteboards..

3. Find the length

of LM and MN.

A

4. Find x

10

B

2

C

6

D

N

M

L

25

K

triangle angle bisector theorem
Triangle Angle-Bisector Theorem
  • If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

A

B

C

D

practice1
Find the value of x.Practice

2. Find VT

R

24

1.

10

V

S

T

4

your turn on wb
Your turn on wb…

4. Find DC

3. Find x

A

5

14

8

B

C

12

D

exit pass
Exit Pass

G

E

1.Find JG

J

x

6

H

11

4

F