1. Given: Quadrilateral WISH is a parallelogram. a. If mZW = x + 15 and mLS = 2x + 5, what is mzW? b. OWISH is a rectangle and its perimeter is 56 cm. One side is 5 cm less than twice the other side. What are its dimensions and how large is its area?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.4: Basic Constructions Justified
Problem 38E
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RENMA NG PILIPNAS
NG
NAS
Republic of the Philippines
Department of Education
REGION III
SCHOOLS DIVISION OF TARLAC PROVINCE
the solution process. You may illustrate each given, to serve as your guide. Be sure to box
your final answer. (LM-9, Activity 20, p.341)
1. Given: Quadrilateral WISH is a parallelogram.
а.
If mZW = x + 15 and mzS = 2x + 5, what is mzW?
b. OWISH is a rectangle and its perimeter is 56 cm. One side is 5 cm less than twice
the other side. What are its dimensions and how large is its area?
2. Given: Quadrilateral POST is an isosceles trapezoid with OS I| PT. ER is its median.
If OS = 3x – 2, PT = 2x + 10 and ER =
b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long
is each leg?
а.
14, how long is each base?
3. Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE.
LE is twice LI. If its perimeter is 21 cm, how long is LE?
b. What is its area if one of the diagonals is 4 more than the other and IK + LK =
a.
16 in?
Activity 2. Find the indicated measure from each of the figures.
1. Given: Parallelogram DACB, find AD.
3x+5
4. Given: Kite ABCD, find AD.
6х-10
3x-2
2x+2
2. Given: Trapezoid ABCD, find DC.
B
x+2
E
40 cm
F
5. Given: Square ABCD, find BC.
x+8
3. Given: Isosceles Trapezoid ABCD, Find LD.
В
5x-2
2x-25°
x+10°
C
7x-10
10
OF
S DIVISION
Address: Macabulos Drive, San Roque, Tarlac City
Telephone No.: (045) 982-0374
Email Address: tarlac@deped.gov.ph
DEPARTENT
EDUCATION
OF
ISO 9001:2015 Certified
EOUKASYON
REM
KAGAWAR
MANAGA
TARLAG PAOVING
Transcribed Image Text:RENMA NG PILIPNAS NG NAS Republic of the Philippines Department of Education REGION III SCHOOLS DIVISION OF TARLAC PROVINCE the solution process. You may illustrate each given, to serve as your guide. Be sure to box your final answer. (LM-9, Activity 20, p.341) 1. Given: Quadrilateral WISH is a parallelogram. а. If mZW = x + 15 and mzS = 2x + 5, what is mzW? b. OWISH is a rectangle and its perimeter is 56 cm. One side is 5 cm less than twice the other side. What are its dimensions and how large is its area? 2. Given: Quadrilateral POST is an isosceles trapezoid with OS I| PT. ER is its median. If OS = 3x – 2, PT = 2x + 10 and ER = b. One base is twice the other and ER is 6 cm long. If its perimeter is 27 cm, how long is each leg? а. 14, how long is each base? 3. Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. LE is twice LI. If its perimeter is 21 cm, how long is LE? b. What is its area if one of the diagonals is 4 more than the other and IK + LK = a. 16 in? Activity 2. Find the indicated measure from each of the figures. 1. Given: Parallelogram DACB, find AD. 3x+5 4. Given: Kite ABCD, find AD. 6х-10 3x-2 2x+2 2. Given: Trapezoid ABCD, find DC. B x+2 E 40 cm F 5. Given: Square ABCD, find BC. x+8 3. Given: Isosceles Trapezoid ABCD, Find LD. В 5x-2 2x-25° x+10° C 7x-10 10 OF S DIVISION Address: Macabulos Drive, San Roque, Tarlac City Telephone No.: (045) 982-0374 Email Address: tarlac@deped.gov.ph DEPARTENT EDUCATION OF ISO 9001:2015 Certified EOUKASYON REM KAGAWAR MANAGA TARLAG PAOVING
REM A NG PILIPINAS
NG
NAS
Republic of the Philippines
Department of Education
REGION III
SCHOOLS DIVISION OF TARLAC PROVINCE
B. Find the length of the indicated segment of each figure.
1.
2.
9 cm
12 cm
3 cm
P
Activity 3. QUIZ 3
Do what is asked. (LM-9, p. 338)
Refer to trapezoid EFGH with median IJ.
1. If IJ = x, HG = 8 and EF =12,
А.
H
G
What is the value of x?
2. If IJ = y+3, HG = 14 and EF =18, what is
the value of y? What is IJ?
3. If HG = x, IJ = 16 and EF = 22, what is
E
F
the value of x?
B. Given isosceles trapezoid ABCD
1. Name the bases.
2. If mLA = 70°, what is mLB?
3. If mLB = 2x – 6 and the mLA = 82°,
what is x?
4. If AC = 56 cm, what is DB?
5. If DB = 3y + 7 and AC = 6y - 8, what is DB?
A
C. Consider kite KLMN on the right.
1. Name the pairs of congruent and adjacent sides.
2. If KN is 10.5, what is KL?
3. If the area is 96 cm? and LN = 8 cm, what is KM?
4. If mz3 = 31, what is MLLMN?
5. If MZLKN =
4
N
39, what is the mzMKN?
LES SON 6
PROBLEMS INVOLVING PARALLELOGRAMS, TRAPEZOIDS AND KITES(Week 4)
Activity 1: Show More What You've Got!
Solve each problem completely and accurately on a clean sheet of paper.
Show your solution and write the theorems or properties you applied to justify each step in
9.
OF
NOISIAIO ST
Address: Macabulos Drive, San Roque, Tarlac City
Telephone No.: (045) 982-0374
Email Address: tarlac@deped.gov.ph
DEPARTEN
ISO 9001:2015 Certified
OF
EDUCATION
FOUKASYON
REM
KAGAWAR
MANAGA
ARLAC PROVING
Transcribed Image Text:REM A NG PILIPINAS NG NAS Republic of the Philippines Department of Education REGION III SCHOOLS DIVISION OF TARLAC PROVINCE B. Find the length of the indicated segment of each figure. 1. 2. 9 cm 12 cm 3 cm P Activity 3. QUIZ 3 Do what is asked. (LM-9, p. 338) Refer to trapezoid EFGH with median IJ. 1. If IJ = x, HG = 8 and EF =12, А. H G What is the value of x? 2. If IJ = y+3, HG = 14 and EF =18, what is the value of y? What is IJ? 3. If HG = x, IJ = 16 and EF = 22, what is E F the value of x? B. Given isosceles trapezoid ABCD 1. Name the bases. 2. If mLA = 70°, what is mLB? 3. If mLB = 2x – 6 and the mLA = 82°, what is x? 4. If AC = 56 cm, what is DB? 5. If DB = 3y + 7 and AC = 6y - 8, what is DB? A C. Consider kite KLMN on the right. 1. Name the pairs of congruent and adjacent sides. 2. If KN is 10.5, what is KL? 3. If the area is 96 cm? and LN = 8 cm, what is KM? 4. If mz3 = 31, what is MLLMN? 5. If MZLKN = 4 N 39, what is the mzMKN? LES SON 6 PROBLEMS INVOLVING PARALLELOGRAMS, TRAPEZOIDS AND KITES(Week 4) Activity 1: Show More What You've Got! Solve each problem completely and accurately on a clean sheet of paper. Show your solution and write the theorems or properties you applied to justify each step in 9. OF NOISIAIO ST Address: Macabulos Drive, San Roque, Tarlac City Telephone No.: (045) 982-0374 Email Address: tarlac@deped.gov.ph DEPARTEN ISO 9001:2015 Certified OF EDUCATION FOUKASYON REM KAGAWAR MANAGA ARLAC PROVING
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