91Ó°ÊÓ

An isosceles triangle has a base 10 units long. If the congruent sides have whole number measures, what is the least possible length of the sides? A 5 B 6 C 17 D 21

Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain. \(2,6,11\)

Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain. \(8,8,15\)

Find the measure of the dilation image or the preimage of \(\overline{S T}\) using the given scale factor. \(S T=6, r=-1\)

Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain. \(9,21,20\)

Write an indirect proof. Given: \(\frac{1}{a}<0\) Prove: \(a\) is negative.

Find the range for the measure of the third side of a triangle given the measures of two sides. 21 and 47

Theorem: Angles supplementary to the same angle are congruent. Dia is proving the theorem above by contradiction. She began by assuming that \(\angle A\) and \(\angle B\) are supplementary to \(\angle C\) and \(\angle A \not \equiv \angle B\) Which of the following reasons will Dia use to reach a contradiction? \(A\) If two angles form a linear pair, then they are supplementary angles. \(B\) If two supplementary angles are equal, the angles each measure 90 . \(C\) The sum of the measures of the angles in a triangle is \(180 .\) \(D\) If two angles are supplementary, the sum of their measures is \(180 .\)

Triangle \(K L M\) has vertices \(K(3,2), L(-1,5),\) and \(M(-3,-7) .\) List the angles in order from the least to the greatest measure.

Find the value of \(n .\) List the sides of \(\triangle P Q R\) in order from shortest to longest for the given angle measures. $$m \angle P=9 n+29, m \angle Q=93-5 n, m \angle R=10 n+2$$