Question

25. Complete the proof by providing the missing reasons.

Given: SDL HT, SH - ST
Prove: ASHD - ASTD
S
H
D
Statement
1. SDI HT
2. ZSDH and ZSDT are right ZS
3. SH EST
4.
5. ASHD - ASTD
Reason
1. Given
2
3.
4. Reflexive Property
5.

Answer 1

statement:

4. sd = sd

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Answer 2

Statement:

• 4. SD ≅ SD

Reason:

• 2. They both are right angled, that is both are equal to 90° and thus are right to ∠s
• 3. Given
• 5. By using SSA(Side-Side-Angle) congruence { because SH = ST(Side); SD = SD(side); ∠SDH = ∠SDT = 90° (Angle) }