Applies Distance formula in proving some geometric Properties

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Test your knowledge of geometric properties by correctly ordering the applications of the distance formula.

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Danica Mandigma

Philippines

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Applies Distance formula in proving some geometric PropertiesVersion en ligne Test your knowledge of geometric properties by correctly ordering the applications of the distance formula. par Danica Mandigma 1 Steps in proving some geometric properties using distance formula Identify Relevant Points and Geometric Figures Prove the geometric figure using distance formula Apply geometric definitions Compare distances Calculate distances 2 Find the distance between (4,2) and (2,-2) Label the ordered pairs (x1,y1), (x2,y2) Simplify the square root, d = 2/sqrt/5 Substitute the values into the formula d = Sqrt (2-4)^2 + (-2 - 2)^2 Simplify terms = sqrt 20 3 Arrange the letter using the word DIST (-5,7) (-7,-6) (2,-2) (8,8) 4 1. Distance of line segment LO, 2. Distance of line segment OV, 3. Distance of line segment VE, 4. Distance of line segment LE, 4. Prove that LO=OV=EV=LE, 5 Prove that the quadrilteral is a rhombus Prove: LO=OV=EV=LE= /sqrt/74 Therefore, the quadrilateral is a rhombus! Prove that L(-4,4) and E(1,-3) are equal Compare their distances Prove that L(−4,4) and O(3,9) are equal All sides of a rhombus are equal in length. Prove that V(8,2) and O(3,9) are equal Prove that V(8,2) and E(1,-3) are equal 5 Given: ∆ABI with sides 𝐴𝐵, IB, IA Prove: 𝐴𝐵 ≅ 𝐼𝐵 Place ∆ABI on the coordinate plane and label the coordinate points as shown below: Find the distance between A(-a,0) and B (0,b). Substitute –a and 0 to x2 and x1, respectively, and 0 and b to y2 and y1, respectively Find the distance between I (a,0) and B (0,b). Substitute a and 0 to x2 and x1, respectively, and 0 and b to y2 and y1, respectively AB ≅ IB , by substitution, then the two sides of an isosceles triangle are congruent. Since AB =√a2+b2 and IB = √a2 +b, AB =IB

Applies Distance formula in proving some geometric PropertiesVersion en ligne

Test your knowledge of geometric properties by correctly ordering the applications of the distance formula.

par Danica Mandigma

Steps in proving some geometric properties using distance formula

Identify Relevant Points and Geometric Figures

Prove the geometric figure using distance formula

Apply geometric definitions

Compare distances

Calculate distances

Find the distance between (4,2) and (2,-2)

Label the ordered pairs (x1,y1), (x2,y2)

Simplify the square root, d = 2/sqrt/5

Substitute the values into the formula d = Sqrt (2-4)^2 + (-2 - 2)^2

Simplify terms = sqrt 20

Arrange the letter using the word DIST

(-5,7)

(-7,-6)

(2,-2)

(8,8)

1. Distance of line segment LO, 2. Distance of line segment OV, 3. Distance of line segment VE, 4. Distance of line segment LE, 4. Prove that LO=OV=EV=LE, 5 Prove that the quadrilteral is a rhombus

Prove: LO=OV=EV=LE= /sqrt/74

Therefore, the quadrilateral is a rhombus!

Prove that L(-4,4) and E(1,-3) are equal

Compare their distances

Prove that L(−4,4) and O(3,9) are equal

All sides of a rhombus are equal in length.

Prove that V(8,2) and O(3,9) are equal

Prove that V(8,2) and E(1,-3) are equal

Given: ∆ABI with sides 𝐴𝐵, IB, IA Prove: 𝐴𝐵 ≅ 𝐼𝐵

Place ∆ABI on the coordinate plane and label the coordinate points as shown below:

Find the distance between A(-a,0) and B (0,b). Substitute –a and 0 to x2 and x1, respectively, and 0 and b to y2 and y1, respectively

Find the distance between I (a,0) and B (0,b). Substitute a and 0 to x2 and x1, respectively, and 0 and b to y2 and y1, respectively

AB ≅ IB , by substitution, then the two sides of an isosceles triangle are congruent.

Since AB =√a2+b2 and IB = √a2 +b, AB =IB

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Applies Distance formula in proving some geometric Properties

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À propos de cette activité

Créé par

Téléchargez la version pour jouer sur papier

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Applies Distance formula in proving some geometric PropertiesVersion en ligne

par Danica Mandigma

Steps in proving some geometric properties using distance formula

Find the distance between (4,2) and (2,-2)

Arrange the letter using the word DIST

1. Distance of line segment LO, 2. Distance of line segment OV, 3. Distance of line segment VE, 4. Distance of line segment LE, 4. Prove that LO=OV=EV=LE, 5 Prove that the quadrilteral is a rhombus

Given: ∆ABI with sides 𝐴𝐵, IB, IA Prove: 𝐴𝐵 ≅ 𝐼𝐵

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