2. Mute your microphones. 3. Open your camera if you are asked to. 1. Be prepared 4. Dress properly. 5. Pay attention. 6. Raise hand if you have questions. 8. You may open your mic when you want to answer/ask. 7. Participate in the activities. 9. Use the chat box as alternative to recite. 10. Be respectful. RULES
ILLUSTRATING TRIANGLE CONGRUENCE
Do you know that congruent figures can be seen in real life?
The sum of the angles of a triangle is 180 ⁰ .
Two triangles are congruent if their vertices can be paired so that corresponding sides are congruent and corresponding angles are congruent.
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CORRESPONDING VERTICES
TRIANGLE CONGRUENCE POSTULATES
Illustrating SSS, SAS and ASA Congruence Postulates
Shared side Parallel lines -> AIA Shared side Vertical angles SAS SAS SSS
What postulate determine that these two triangles are congruent?
What postulate determine that these two triangles are congruent?
What postulate determine that these two triangles are congruent?
What postulate determine that these two triangles are congruent?
SOLVING CORRESPONDING PARTS OF CONGRUENT TRIANGLES
EXAMPLE #1 D O G 40° 50° 90° T A C 2x +10° Δ DOG is congruent to Δ CAT. Find the value of x. Since Δ DOG , the corresponding part are congruent wherein O A .
EXAMPLE #1 D O G 40° 50° 90° T A C 2x +10° Δ DOG is congruent to Δ CAT. Find the value of x.
O A m O m A
EXAMPLE #2 J F H G 2y + 3 6x - 7 15 35° In the diagram, Δ FHJ Δ HFG. Find the value of x and y. What part of the triangles are congruent? How do we solve for the value of x and y?