Problem 39
Draw an isosceles right triangle.
Problem 40
Write a paragraph proof. Given: \(\overline{V R} \perp \overline{R S}, \overline{U T} \perp \overline{S U}\) \(\overline{R S} \cong \overline{U S}\) Prove: \(\triangle V R S \cong \triangle T U S\)
Problem 42
\(\overline{K L}\) is a segment representing one side of isosceles right triangle KLM with \(K(2,6),\) and \(L(4,2) . \angle K L M\) is a right angle, and \(\overline{K L} \cong \overline{L M} .\) Describe how to find the coordinates of \(M\) and name these coordinates.
Problem 44
Which type of triangle can serve as a counterexample to the conjecture below? If two angles of a triangle are acute, then the measure of the third angle must be greater than or equal to 90 . A equilateral B obtuse C right D scalene
Problem 47
PREREQUISITE SKILL Find the distance between each pair of points. (lesson \(1-3\) ) $$(0,-6),(-3,-1)$$
Problem 47
List the property of congruence used for each statement. $$\angle 1 \cong \angle 1 \text { and } \overline{A B} \cong \overline{A B}$$
Problem 49
Find the coordinates of the midpoint of the segment with endpoints that are given. \(C(-4,6), D(2,-12)\)