Google ClassroomGoogle Classroom
GeoGebraGeoGebra Ders
GeoGebra

IM Geo.2.7 Lesson: Angle-Side-Angle Triangle Congruence

Yazar:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

What do you notice? What do you wonder?

Assertion: Through two distinct points passes a unique line. Two lines are said to be distinct if there is at least one point that belongs to one but not the other. Otherwise, we say the lines are the same. Lines that have no point in common are said to be parallel. Therefore, we can conclude: given two distinct lines, either they are parallel, or they have exactly one point in common.

Two triangles have 2 pairs of corresponding angles congruent, and the corresponding sides between those angles are congruent. Sketch 2 triangles that fit this description.

Label the triangles  and , so that angle  is congruent to angle , angle  is congruent to angle , and side  is congruent to side . Use a sequence of rigid motions to take triangle  onto triangle . For each step, explain how you know that one or more vertices will line up.

Lines l and m are parallel. a=42. Find b, c, d, e, f, g, and h.

Quadrilateral ABCD is a parallelogram.

By definition, that means that segment  is parallel to segment , and segment  is parallel to segment .

  • Use the applet below. Sketch parallelogram  and then draw an auxiliary line to show how  can be decomposed into 2 triangles.
  • Prove that the 2 triangles you created are congruent, and explain why that shows one pair of opposite sides of a parallelogram must be congruent.

When we have 3 consecutive vertices of a polygon A, B, and C so that the triangle ABC lies entirely inside the polygon, we call B an ear of the polygon.

How many ears does a parallelogram have?

Draw a quadrilateral that has fewer ears than a parallelogram.

In 1975, Gary Meisters proved that every polygon has at least 2 ears. Draw a hexagon with only 2 ears.

Yeni Kaynaklar

Kaynakları Keşfet

Konuları Keşfet