Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
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Answer:
9 units²
Step-by-step explanation:
calculate the area of Δ ABC as
area of rectangle - area of 3 outer right triangles
area of rectangle = 5 × 4 = 20 units²
area of left Δ =
× 3 × 3 = 4
units²
area of Δ on right =
× 2 × 4 = 4 units²
area of top Δ =
× 5 × 1 = 2
units²
Then
area of Δ ABC = 20 - 4
- 4 - 2
= 20 - 11 = 9 units²
B this is because the hypotenuse is 8 and during the special right triangle(45,45,90) to find the hyp is xv2
A, c, e, g are quadratic functions