Answer:
Step-by-step explanation:
<h3>Question </h3>
- It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
- (A) DE=4cm, ∠A=80⁰
- (B) DE=4 cm, ∠C=80⁰
- (C) DF=4 cm, ∠A=80⁰
- (D) DF=4cm, ∠C=80⁰
<h3>Solution</h3>
<u>Corresponding sides and angles are:</u>
- AB ≅ FD
- ∠A≅∠F, ∠B≅∠D, ∠C≅∠E
<u>Given</u>:
- AB = 4 cm, so FD = 4 cm
- ∠B = 40⁰ and ∠E = 60⁰, so ∠D = 40⁰ and ∠C = 60⁰
and
- ∠A = ∠F = 180⁰ - (40⁰ + 60⁰) = 80⁰
Considering all above we see that correct answer option is (C)
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
