Question

5 fill in the blank 8 points determine if figure abcdef is congruent to ghijkl. abcdef is choose your answer... to ghijkl

Explanation:

Step1: Recall congruence definition

Two figures are congruent if they have the same shape and size, which means corresponding sides and corresponding angles are equal.

Step2: Check corresponding side - lengths

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) to find the lengths of the sides of both figures. For example, for side \(AB\) in figure \(ABCDEF\) with \(A(-6,2)\) and \(B(-5,2)\), \(d_{AB}=\sqrt{(- 5+6)^2+(2 - 2)^2}=1\). Do this for all sides of both figures. After calculating, we find that the corresponding side - lengths are not equal.

Answer:

not congruent