This powerpoint presentation is an introduction for the topic TRIANGLE CONGRUENCE. This topic is in Grade 8 Mathematics. I hope that you will learn something from this sides.
1. REVIEW:
1. What is the definition of triangle?
2. What are the parts of a triangle?
2.
3. WHAT IS THE IDEA OF CONGRUENCE?
Two geometric figures with exactly the
same size and shape.
4. Triangle Congruence:
Two triangles are congruent if their vertices can be paired so
that corresponding sides are congruent and corresponding
angles are congruent.
Two triangles are congruent if they have the same size and
shape.
Two triangles are congruent when all corresponding sides
and interior angles are congruent.
5. Triangle Congruence:
ΔABC ≅ ΔDEF Read as "triangle ABC is congruent to triangle DEF."
≅ symbol for congruency
Δ symbol for triangle.
6. ∠ A CORRESPONDS TO ∠R
∠ B CORRESPONDS TO ∠S
∠ C CORRESPONDS TO ∠T
EXAMPLE #1: CONRUENT TRIANGLES
AB corresponds to RS
BC corresponds to ST
AC corresponds to RT
7. EXAMPLE #2
Draw two identical triangles and label the vertices P, R, and S on one part and
K, L, and M on the other so that ΔPRS ≅ Δ KLM. Then mark the congruent
parts.
1. What angle in Δ PRS is congruent to ∠ K in ΔKLM?
2. Which side of Δ KLM is congruent to 𝑷𝑺 in Δ PRS?
8. ACTIVITY:
1. ΔABD ≅ ΔCBD, Write down the six pairs of
congruent corresponding parts
2. Which triangles are congruent if MA ≅ KF, AX ≅ FC,
MX ≅ KC; ∠M ≅ ∠K, ∠A ≅
∠F, ∠X ≅ ∠C. Draw the triangles.
3. Which of the following shows the correct congruence
statement for the figure below?
a. ΔPQR ≅ ΔKJL
b. ΔPQR ≅ ΔLJK
c. ΔPQR ≅ ΔLKJ
d. ΔPQR ≅ ΔJLK
9. SEATWORK: Use the given figure below to answer the following questions.
1. Complete the statement: ΔARM ≅ Δ _____
2. What is the angle congruent to ∠E in ΔARM?
3. What is the angle congruent to ∠L in ΔARM?
4. What is the angle congruent to ∠R in ΔLEG?
5. What is the name of the side congruent to RM in ΔLEG?