3rd

2. Prove theorem on special
parallelogram
Apply theorem on special
parallelogram
Value accumulated knowledge as
means of new understanding

3. Direction: Study the photo below

4. How can you tell whether a given
figure is a parallelogram, a
rectangle, a rhombus or a
square?

5. Are you familiar with one of the
projects of Senator Villar here in
Tagaytay? Have you already seen
Tagaytay Crosswinds at Iruhin?
Going there feels like you were in
Switzerland.

7. How did the contractors and
carpenters apply the conditions
for rectangles to make sure that
the frame of a house has correct
shape?

11. Things to Remember:
1. Diagonals of rhombus are perpendicular.
2. Each diagonal of a rhombus bisects a pair
of opposite angles.
3. Diagonals of a rectangle are congruent.
4. Diagonals of a square are perpendicular
and congruent.

12. 1. A contractor of City Land near
Olivarez Plaza, built a wood frame for
the side of a house so that 𝑋𝑌 ≅ 𝑊𝑍
and 𝑋𝑊 ≅ 𝑌𝑍. Using a tape measure,
the contractor found that 𝑋𝑍 ≅ 𝑊𝑌.
Why must the frame be a rectangle?

13. Reason: Both pairs of opposite sides of
WXYZ are ____, so WXYZ is a
parallelogram, since 𝑋𝑍 ≅ 𝑊𝑌 the
____ _ of WXYZ are _____, Therefore
the frame is a rectangle by theorem b.

15. 2. Given: PARK is parallelogram
𝑅𝑃 bisects ∠KRA and ∠KPA
Prove: PARK is a rhombus

18. Group Challenge
If RHOM is a rhombus, 𝑹𝑯 =
𝟔𝒚 + 𝟒, 𝑯𝑶 = 𝟓𝒚 + 𝟖. Find y, 𝑹𝑯,
𝑯𝑶, 𝑶𝑴

19. Exercise #3. ___. Directions: Answer
the following using the figure at the
right.

23. Ass. #3. ___
Luis of Sonya’s garden is making a frame to provide
shelter to his planted tomatoes; He stretched
plastic cover a wooden frame. Each wall of the
frame is a rectangle, with diagonal braces added
for support, as shown. If the brace connecting
points A and C has length of 73 inches, how long is
the brace connecting points B and D? What is the
length from the point of intersection to pt A?

26. The length of the brace
connecting points B and D is also
73 inches.
The length from the point of
intersection to point A is 36.5
inches.