91Ó°ÊÓ

The United States Navy Flight Demonstration Squadron, the Blue Angels, fly in a formation that can be viewed as two triangles with a common side. Write a two-column proof to prove that \(\triangle S R T \cong \triangle Q R T\) if \(T\) is the midpoint of \(\overline{S Q}\) and \(\overline{S R} \cong \overline{Q R}\).

Write a coordinate proof for the following statement. The midpoint of the hypotenuse of a right triangle is equidistant from each of the vertices.

Write a flow proof. Given: \(\overline{E J}\|\overline{F K}, \overline{J G}\| \overline{K H}, \overline{E F} \cong \overline{G H}\) Prove: \(\triangle E J G \cong \triangle F K H\)

Write a coordinate proof for each statement. The three segments joining the midpoints of the sides of an isosceles triangle form another isosceles triangle.

Find a counterexample to show why AAA (Angle-Angle-Angle) cannot be used to prove congruence in triangles.

Use the following information. A motor boat is located 800 yards from the port. There is a ship 800 yards to the east and another ship 800 yards to the north of the motor boat. Write a coordinate proof to prove that the port, motor boat, and the ship to the north form an isosceles right triangle.

Find \(x\) and the measure of each side of the triangle. \(\triangle G H J\) is isosceles, with \(\overline{H G} \cong \overline{J G}, G H=x+7, G J=3 x-5,\) and \(H J=x-1\).

PROOF Write a flow proof to prove that congruence of triangles is reflexive. (Theorem 4.4)

REVIEW Which is a factor of \(x^{2}+19 x-42 ?\) \(\mathbf{F} \quad x+14\) G \(x+2\) H \(x-14\) I \(x-2\)

REVIEW What quantity should be added to both sides of this equation to complete the square? $$ x^{2}-10 x=3 $$ \(\mathbf{F}-25\) \(\mathbf{G}-5\) \(\mathbf{H} 5\) \(\mathbf{J} 25\)