True. correct hope this helped you !!
Answer:
- use the HL postulate
- corresponding angles are congruent; corresponding sides are congruent
Step-by-step explanation:
See below for the marking.
a) Marking the right triangles per the given information, we see that the hypotenuses and one leg are congruent. We can use the HL postulate of congruence to conclude the triangles are congruent.
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b) ∆CPS ≅ ∆WPD, so the following parts are congruent:
- ∠C ≅ ∠W
- ∠P (in ∆CPS) ≅ ∠P (in ∆WPD) — these are vertical angles
- ∠S ≅ ∠D
- CP ≅ WP
- PS ≅ PD
- CS ≅ WD
1/3 because in the decimal form is 0.33333 repeating
To find if it’s a right-angled triangle, we will have to use Pythagorean Theorem:
a² + b² = c²
1st triangle: (yes, it is)
40 ² + 30 ² = 50 ²
1600 + 900 = 2500
2500 = 2500
2nd triangle: (No)
15 ² + 21 ² = 26 ²
666 = 676
3rd triangle: (Yes)
1.8 ² + 8 ² = 8.2 ²
67.24 = 67.24
4th triangle: (No)
85 ² + 85 ² = 121 ²
14450 = 14641