: ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT! A. Complete the table. The Isosceles Triangle Theorem states that if two sides of a
: ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT!
A. Complete the table.
The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the
angles opposite these sides are congruent.
Given: TF = TV
Prove: ZF = LV
Statements
Reasons
1. IF = TV
1.
2. Construct a bisector of zl
2. Every z has 1 angle bisector
3. LFIE = VIE
3.
4.
4. Reflexive Property
5.
5. SAS Congruence Postulate
6. LF = LV
6.
MATH 8 QUARTER 2 WEEK 9
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B. Number the sentences in an order to complete an indirect proof.
Given: In A EFG, EF = FG
Prove: mzE # 90°
L Therefore the temporary assumption that mLE = 90º must be false.
L But this contradicts the fact that the sum of the measures of the angles of a triangle
is 180.
LO Assume temporarily that mZE = 90°
O Then mzG = 90°, and mzE + m2F+ mZG = 90 + m2F +90 > 180
It follows that mLE + 90°
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