Which postulate can be used to prove that the two triangles below are Congruent?
2 answers:
Answer:
B. SAA (Side-Angle-Angle)
Step-by-step explanation:
In the diagram given, the horizontal sides of the two triangles are equal. Also, by the principle of opposite angles,
< RTS = < QTV
The two angles are equal.
Furthermore, the sum of angles in a triangle is , so the third angle can be determined since
< RST = < VQT =
Thus the two triangles are congruent due to side - angle- angle.
You might be interested in
Answer:
b. 15 square units
Step-by-step explanation:
We notice from the graph that AB is the hypotenuse of a right triangle 3 units wide and 6 units high. The Pythagorean theorem tells you the length of that will be ...
AB = √(3^2 +6^2) = √45 = 3√5
Similarly, altitude CD is the hypotenuse of a right triangle 4 units wide and 2 units high, so its length will be ...
CD = √(4^2 +2^2) = √20 = 2√5
The area is given by the formula ...
A = 1/2bh
A = 1/2(3√5)(2√5) = 15 . . . square units
