Is $ACBD$ in the figure a parallelogram? Why?

In the figure below, $M$ is the midpoint of the line $AB$. Compute the other two angles of $△ABC.$

In the figure below, the lines$AB$ and $CD$are parallel and $M$ is the midpoint of $AB.$

 Compute the angles of $△AMD, △MBC$ and $△DCM ?$

In the figure below, the lines$AB$ and $CD$are parallel and $M$ is the midpoint of $AB.$

What is special about the quadrilaterals $AMCD$ and $MBCD$

In each pair of triangles below, find matching pairs of sides and write their names

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In each pair of triangles below, find matching pairs of sides and write their names.

In the figure, $AP$ and $BQ$ equal and parallel are lines drawn at the ends of the line AB. The point of intersection of $PQ$ and $AB$is marked as$M.$

Are the sides of $△AMP$ equal to the sides of $△BMQ$ ? Why?

In the figure, $AP$ and $BQ$ equal and parallel are lines drawn at the ends of the line AB. The point of intersection of $PQ$ and $AB$is marked as$M.$

What is special about the position of $M$ on $AB$.