91Ó°ÊÓ

The vertices of \(\triangle Q R T\) and \(\triangle Q^{\prime} R T^{\prime}\) are \(Q(-4,3), Q^{\prime}(4,3), R(-4,-2)\) \(R^{\prime}(4,-2), T(-1,-2),\) and \(T^{\prime}(1,-2) .\) Verify that \(\triangle Q R T \cong \triangle Q^{\prime} R^{\prime} T^{\prime} .\) Then name the congruence transformation. (IMAGE CAN'T COPY)

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 paragraph proof. Given: \(\angle N O M \cong \angle P O R, \overline{N M} \perp \overline{M R},\) \(\overline{P R} \perp \overline{M R}, \overline{N M} \cong \overline{P R}\) Prove: \(\overline{M O} \cong \overline{O R}\)

Find the measures of the sides of \(\triangle T W Z\) with vertices at \(T(2,6), W(4,-5),\) and \(Z(-3,0) .\) Classify the triangle by sides.

Write a flow proof. Given: \(\overline{M N} \cong \overline{P Q}, \angle M \cong \angle Q,\) \(\angle 2 \cong \angle 3\) Prove: \(\triangle M L P \cong \triangle Q L N\)

Find the measures of the sides of \(\triangle Q R S\) with vertices at \(Q(2,1), R(4,-3),\) and \(S(-3,-2) .\) Classify the triangle by sides.

Determine whether \(\triangle J K L \cong \triangle F G H\) given the coordinates of the vertices. Explain. $$J(2,5), K(5,2), L(1,1), F(-4,4), G(-7,1), H(-3,0)$$

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

Determine whether \(\triangle J K L \cong \triangle F G H\) given the coordinates of the vertices. Explain. $$J(-1,1), K(-2,-2), L(-5,-1), F(2,-1), G(3,-2), H(2,5)$$

Determine whether \(\triangle J K L \cong \triangle F G H\) given the coordinates of the vertices. Explain. $$J(-1,-1), K(0,6), L(2,3), F(3,1), G(5,3), H(8,1)$$