Applies Distance formula in proving some geometric Properties

Line Up

Played 100

Create copy

About this activity

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

Created by

Danica Mandigma

Philippines

Download the paper version to play

Top 10 results

#	Player	Accuracy	time
1	Danica Mandigma March 22, 2025	% 100	02:02
2	John Allen Mendoza March 23, 2025	% 92	02:19
3	Chollo Duno March 23, 2025	% 85	04:06
4	FLORENZ March 23, 2025	% 83	02:22
5	Tolentino Aj March 23, 2025	% 80	03:13
6	Rose Ann Cueto March 23, 2025	% 79	04:21
7	Mary March 28, 2025	% 78	02:44
8	Andrhea March 23, 2025	% 78	05:41
9	Eya Ramos March 23, 2025	% 76	04:50
10	benz deguzman March 23, 2025	% 75	06:53

Do you want to stay in the Top 10 of this game? Log in to identify yourself.

Make your own free game from our game creator

Compete against your friends to see who gets the best score in this game

Make challenge


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

Applies Distance formula in proving some geometric PropertiesOnline version

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

by Danica Mandigma

Steps in proving some geometric properties using distance formula

Compare distances

Apply geometric definitions

Prove the geometric figure using distance formula

Identify Relevant Points and Geometric Figures

Calculate distances

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

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

Simplify terms = sqrt 20

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

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

Arrange the letter using the word DIST

(2,-2)

(-7,-6)

(8,8)

(-5,7)

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

All sides of a rhombus are equal in length.

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

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

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

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

Therefore, the quadrilateral is a rhombus!

Compare their distances

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

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

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

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

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Applies Distance formula in proving some geometric Properties

Line Up

About this activity

Created by

Download the paper version to play

Top Games

Line Up

Chronicles of Dreams (The Arabian Nights)

Line Up

Digestive System

Line Up

Blood Circulation & Conduction System

Line Up

Board Games

Applies Distance formula in proving some geometric PropertiesOnline version

by 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

		%
	Anonymous	%
		%
		%