PROJECT SINE - G10 - Q2-W7

Presentation

•

Mathematics

•

10th Grade

•

Hard

Jimmylyn Plurad

Used 4+ times

FREE Resource

51 Slides • 8 Questions

Grade 10 - Q2-W7

By Jimmylyn Plurad

PROJECT SINE

APPLY THE DISTANCE FORMULA TO PROVE SOME GEOMETRIC PROPERTIES

MOST ESSENTIAL LEARNING COMPETENCIES

DETERMINE THE LOCATION USING THE COORDINATES GIVEN.

WARM-UP ACTIVITY: WHERE AM I?

HI! BY THE WAY, I AM RYAN. MY MORNING ROUTINE IS TO JOG AROUND. I ENCOURAGE YOU TO EXERCISE WITH ME MENTALLY BY DETERMINING WHERE AM I USING THE COORDINATES I WILL BE GIVING. ARE YOU READY? LET US START!

WARM-UP ACTIVITY: WHERE AM I?

Multiple Choice

WHERE AM I IF THE COORDINATE OF MY EXACT LOCATION IS (10, 2)

HOUSE

MALL

PARK

CHURCH

Multiple Choice

WHERE AM I IF THE COORDINATE OF MY EXACT LOCATION IS (6, 5)

HOUSE

MALL

PARK

CHURCH

Multiple Choice

WHERE AM I IF THE COORDINATE OF MY EXACT LOCATION IS (4, 1)

HOUSE

MALL

SCHOOL

CHURCH

Multiple Choice

WHERE AM I IF THE COORDINATE OF MY EXACT LOCATION IS (3, 4)

HOUSE

MALL

SCHOOL

CHURCH

Multiple Choice

WHERE AM I IF THE COORDINATE OF MY EXACT LOCATION IS (7, 3)

HOUSE

MALL

SCHOOL

CHURCH

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

LET'S US CONSIDER THE DIFFERENT LOCATIONS FROM RYAN'S COVERED PLACES AFTER JOGGING. LET US ASSUMED THAT EACH UNIT IN CARTESIAN PLANE IS ASSUMED TO BE 1 KILOMETER.

QUESTION 1:

HOW FAR IS THE CHURCH FROM THE HOSPITAL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

LET'S US CONSIDER THE DIFFERENT LOCATIONS FROM RYAN'S COVERED PLACES AFTER JOGGING. LET US ASSUMED THAT EACH UNIT IN CARTESIAN PLANE IS ASSUMED TO BE 1 KILOMETER.

QUESTION 1:

HOW FAR IS THE CHURCH FROM THE HOSPITAL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

LET'S US CONSIDER THE DIFFERENT LOCATIONS FROM RYAN'S COVERED PLACES AFTER JOGGING. LET US ASSUMED THAT EACH UNIT IN CARTESIAN PLANE IS ASSUMED TO BE 1 KILOMETER.

QUESTION 1:

HOW FAR IS THE CHURCH FROM THE HOSPITAL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

LET'S US CONSIDER THE DIFFERENT LOCATIONS FROM RYAN'S COVERED PLACES AFTER JOGGING. LET US ASSUMED THAT EACH UNIT IN CARTESIAN PLANE IS ASSUMED TO BE 1 KILOMETER.

QUESTION 1:

HOW FAR IS THE CHURCH FROM THE HOSPITAL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE HOSPITAL FROM MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE HOSPITAL FROM MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE HOSPITAL FROM MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE HOSPITAL FROM MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 3:

HOW FAR IS THE CHURCH FROM THE MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 3:

HOW FAR IS THE CHURCH FROM THE MALL?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 3:

HOW FAR IS THE CHURCH FROM THE MALL?

YES, IT IS RIGHT TRIANGLE.

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE CHURCH FROM THE MALL?

WHAT DO WE CALL SIDE MC OF THIS RIGHT TRIANGLE?

LET US OBSERVE!

(10, 2)

(7, 5)

(5, 1)

(3, 4)

(7, 3)

(3, 2)

QUESTION 2:

HOW FAR IS THE CHURCH FROM THE MALL?

MC = HYPOTENUSE

FOR YOUR INFORMATION!

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

C (10, 2)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

C (10, 2)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

C (10, 2)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

C (10, 2)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 3: HOW FAR IS THE HOSPITAL FROM MALL?

M (3, 4)

C (10, 2)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

Let's apply!

(10, 2)

(3, 4)

(3, 2)

QUESTION 4: HOW FAR IS THE SCHOOL FROM THE PARK?

P (6, 5)

S (4, 1)

P (6, 5)

S (4, 1)

QUESTION : THE DISTANCE BETWEEN R(1, y) and S(5, 6) is 5.

Let's apply!

ACTIVITY 2:

GO THE DISTANCE

Multiple Choice

WHAT IS THE DISTANCE BETWEEN POINTS X(4, 7) AND Y(2, 3)

$\sqrt[]{5}$ UNITS

$2\sqrt[]{5}$ UNITS

$4\sqrt[]{5}$ UNITS

$5\sqrt[]{2}$ UNITS

Multiple Choice

WHAT IS THE DISTANCE BETWEEN POINTS X(5, 5) AND Y(8, -3)

$\sqrt[]{13}$ UNITS

$2\sqrt[]{73}$ UNITS

$\sqrt[]{73}$ UNITS

$5\sqrt[]{5}$ UNITS

Multiple Choice

A SEGMENT WHOSE ENDPOINTS ARE AT X(5, 5) AND Y(8, -3)

$x\ =-15\ or\ x=-1$

$x=-1\ or\ x=\ 15$

$x=1\ or\ x=-15$

$x=1\ or\ x=15$

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE DIAGONALS OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT.

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

LET'S APPLY:

(0, 0)

(A, 0)

(a, b)

(0, b)

PROVE THAT THE OPPOSITE SIDES OF A RECTANGLE ARE CONGRUENT.

Grade 10 - Q2-W7

By Jimmylyn Plurad

PROJECT SINE

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