2) Theorem 11. The area of a kite is half the product of the lengths of its diagonals. Given: Kite ROPE E OE)(PR) Prove: Area of kite ROPE = Proof: Statements Reasons KITE ROPE 1. 1. Given 2. The diagonals of a kite are perpendicular to 2. AC I DB each other. 3. Arca of kite ROPE = Area of AOPE+ 3. Area Addition Postulate Area of AORE 4. Area Formula for Triangles 4. Area of AOPE =(OE) (PW) Area of AORE = (OE) (WR) 2 36
2) Theorem 11. The area of a kite is half the product of the lengths of its diagonals. Given: Kite ROPE E OE)(PR) Prove: Area of kite ROPE = Proof: Statements Reasons KITE ROPE 1. 1. Given 2. The diagonals of a kite are perpendicular to 2. AC I DB each other. 3. Arca of kite ROPE = Area of AOPE+ 3. Area Addition Postulate Area of AORE 4. Area Formula for Triangles 4. Area of AOPE =(OE) (PW) Area of AORE = (OE) (WR) 2 36
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:2) Theorem 11. The area of a kite is half the product of the lengths of its
diagonals.
Given: Kite ROPE
E
늑OE) (PR)
Prove: Area of kite ROPE =
Proof:
Statements
Reasons
KITE
ROPE
1.
1. Given
2. The diagonals of a kite are perpendicular to
2.
AC
I DB
each other.
3. Arca of kite ROPE = Area of AOPE +
3. Area Addition Postulate
Area of AORE
4. Area Formula for Triangles
4. Area of AOPE = (OE) (PW)
Area of AORE = (OE) (WR)
2
36
Transcribed Image Text:5. Area of kite
ROPE - HOE)(PW) + {(OE)(WR)
5.
6. Area of kite ROPE =(OE)(PW+ WR)
6.
7. PW+ WR = PR
7.
8.
Area of kite ROPE = OE)(PR)
8.
%3D
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