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Find the measures of \(x, y,\) and \(z\).
Circle with center A. Diameter is drawn. Central angles z and 20 degrees are formed along the diameter. Arc y is opposite central angle z. Arch x is opposite central angle of 20 degrees.
Give an example from the image of each kind of segment.
Circle with center A. Diameter B C and G H are drawn. Line segment D F E is drawn with point F on diameter B C. A line is drawn tangent to the circle with point C on the circle.
Write an equation of the altitude from vertex \(A\).
Lines \(\ell\) and \(p\) are parallel. Select all true statements.
Parallel lines \(l \text{ and }p \text{ on a coordinate plane, origin } O\). Horizontal axis x scale negative 8 to 8 by 2’s. Vertical y axis scale negative 8 to 8 by 2’s. Points A and B are on line l at A(negative 6 comma 4) and B(2 comma 0). Points F and C are on line p at F(negative 8 comma 2) and C(8 comma negative 6). Point D(2 comma 4) is above line l, and forms triangle A D B with dashed segments. Point E(negative 8 comma negative 6) is below line p, and forms triangle F E C with dashed segments.
Triangle \(ADB\) is congruent to triangle \(CEF\).
The slope of line \(\ell\) is equal to the slope of line \(p\).
Triangle \(ADB\) is similar to triangle \(CEF\).
\(\sin(A) = \sin(C)\)
\(\cos(B) = \sin(C)\)
Mai wrote a proof that triangle \(AED\) is congruent to triangle \(CEB\). Mai's proof is incomplete. How can Mai fix her proof?
We know side \(AE\) is congruent to side \(CE\) and angle \(A\) is congruent to angle \(C\). By the Angle-Side-Angle Triangle Congruence Theorem, triangle \(AED\) is congruent to triangle \(CEB\).
\(\angle A \cong \angle C, \overline{AE} \cong \overline{CE}\)