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Empowered like Jane to lead in service

AJM

MCHS

MATHEMATICS 3

SUMMER 2013

Name: ___________________________| Date: ____________

ACTIVITY NO . 15

CONSONANT TRIANGLES, UNIQUE SEGMENTS, ISOSCELES TRIANGLES, INEQUALITY

My spouse and i. If enough information is given: a) state the postulate or perhaps theorem that verifies the congruence from the triangles; and

b) write the congruent assertion. (10 points)

L

E

F

At the

B

C

1 . A

D

a) ________________b) ________________| 2 . G

J

They would

a) ________________b) ________________| several. N

M

a) ________________b) ________________

Q

P

4. R

U

T

H

a) ________________b) ________________| Sixth is v

5. Con

W

By

a) ________________b) ________________|

II. Encircle P in the event the given pair of numbers can be done lengths of the edges of a triangle, otherwise encircle ~P. (4 points)

P| ~P| 1 . | 6, 8, 9

P| ~P| 2 . | 8, 15, 16

P| ~P| 3. | 12, 17, 29

P| ~P| 4. | 10, 24, 26

3. If two sides of a triangle have following measures, find the range of conceivable measures to get the third area (x). (2 points)

1 ) 12, 3

2 . 8, 31

IV. Use <, >, =, or CND (cannot be determined) to compare the next quantities. (5 points)

1 . | m3| _____| 1

2

several

4

your five

6

several

8

9

10

11

12

m8

2 . | m4| _____| m6

several. | m1| _____| m11

4. | m12| _____| m2

a few. | m1 + m10| _____| m2 + m11

V. Find solutions to problems. Show complete solutions and write solution on the areas provided. (19 points)

1 ) If COW PIG, mC = fifty five, mI sama dengan 55, what is the mW? (1 point)

mW = __________

installment payments on your CAT DOG. If CA = times + some, OG sama dengan 3x, DG = 4x вЂ“ 6th and the edge of FELINE is 30 cm, fix for the significance of x and the length of CT. (3 points)

Eq'n pertaining to x: ____________________________

x = ____________

CT = ___________

3. In HRE, HS is a great angle bisector, RY can be an altitude and STOCK is a median. (8 points)

a) If perhaps mEHR sama dengan 8x вЂ“ 14 and mSHR can be x + 14, get x and mEHS.

Eq'n for times: ________________________________

They would

O

3rd there’s r

S

E

Y

x = ___________

mEHS = ____________

b) If HO = 4y + 1 and RO = 8y вЂ“ 7, find sumado a and HOURS.

Eq'n to get y: ________________________________

y sama dengan ___________

HUMAN RESOURCES = ____________

c) In the event that mYHR sama dengan 2z & 6 and mHRY = 5z, find z.

Eq'n for unces: ________________________________

unces = ___________

4. In MEW, MW = ME PERSONALLY. If mE = 5x вЂ“ being unfaithful and logistik = 8x, solve pertaining to x and the m1. (3 points) you

W

Eq'n for x: ________________________________

by = ___________

E

M

m1 sama dengan ____________

a few. In MAC PC, mA sama dengan 53, mM = 7x вЂ“ eight and mC = 8x. Solve pertaining to x, identify the measure of the largest perspective and set up the factors of MAC from least to best. (4 points)

Eq'n intended for x: ________________________________

x = ___________

way of measuring largest viewpoint = __________________

arrangement of MA, AIR CONDITIONER, MC: ____________________