Identify the property depicted in each problem.
1) If \(\overline{KT}\cong\overline{ML}\) and \(\overline{ML}\cong\overline{YU}\), then \(\overline{KT}\cong\overline{YU}\).
2) \(\angle KEY\cong\angle YEK\)
3) If \(\angle RAT\cong\angle DOG\) and \(\angle BRD\cong\angle DOG\), then \(\angle RAT\cong\angle BRD\)
4) \(ON = ON\)
5) If \(KA = TO\), then \(KA - RI = TO - RI\).
6) \(\angle COG\) and \(\angle DOG\) are complementary. \(m\angle COG + m\angle DOG = 90^{\circ}\)
7) If \(m\angle 1 + m\angle 2 = 180^{\circ}\) and \(m\angle 2 + m\angle 3 = 180^{\circ}\), then \(m\angle 1 + m\angle 2 = m\angle 2 + m\angle 3\).
8) If \(m\angle 1 + m\angle 2 = m\angle 2 + m\angle 3\), then \(m\angle 1 = m\angle 3\)
1) If \(\overline{KT}\cong\overline{ML}\) and \(\overline{ML}\cong\overline{YU}\), then \(\overline{KT}\cong\overline{YU}\).
2) \(\angle KEY\cong\angle YEK\)
3) If \(\angle RAT\cong\angle DOG\) and \(\angle BRD\cong\angle DOG\), then \(\angle RAT\cong\angle BRD\)
4) \(ON = ON\)
5) If \(KA = TO\), then \(KA - RI = TO - RI\).
6) \(\angle COG\) and \(\angle DOG\) are complementary. \(m\angle COG + m\angle DOG = 90^{\circ}\)
7) If \(m\angle 1 + m\angle 2 = 180^{\circ}\) and \(m\angle 2 + m\angle 3 = 180^{\circ}\), then \(m\angle 1 + m\angle 2 = m\angle 2 + m\angle 3\).
8) If \(m\angle 1 + m\angle 2 = m\angle 2 + m\angle 3\), then \(m\angle 1 = m\angle 3\)
12) Use the given diagram to answer the following questions:
a) If \(B\) is the midpoint of \(\overline{AE}\), then what conclusion can you make? b) If \(B\) is the midpoint of \(\overline{DC}\), then what conclusion can you make? c) Which angles do you know are congruent? Explain your answer using a conditional sentence. |
15) Use the given diagram to answer the following questions (use correct notation):
a) If \(\overline{TM}\) bisects \(\angle RTY\), then what conclusion can you make? b) If \(M\) is the midpoint of \(\overline{RY}\), then what conclusion can you make? c) What other conclusion can be made? Explain your reasoning. |
Review
17) Find two coordinates that have a midpoint of \((5, -13)\)
18) Find two coordinates that have a length of \(\sqrt{10}\)
17) Find two coordinates that have a midpoint of \((5, -13)\)
18) Find two coordinates that have a length of \(\sqrt{10}\)