# Lines and Triangles

### Description

Mr. Seu 2014-2015 Semester 2
Flashcards by Jadéjah Robinson, updated more than 1 year ago
188
6

## Resource summary

 Question Answer Skew Two or more lines that do not lie in the same plane. They are not parallel and do not intersect. Collinear Points on a single line Coplanar Points that share the same plane Linear Pairs 2 adjacent angles whose non-common sides are opposite rays (supplementary) Perpendicular Bisector A line that meets the midpoint of another line, forming a right angle Transversal A line that intersects 2 or more lines in a plane at different points Congruent or Supplementary? Corresponding Angles Congruent Congruent or Supplementary? Consecutive Exterior Angles Supplementary Congruent or Supplementary? Alternate Interior Angles Congruent Congruent or Supplementary? Alternate Exterior Angles Congruent Congruent or Supplementary? Consecutive Interior Angles Supplementary When the third angle on an isosceles triangle is a right angle, it is called a ____________________ Right Isosceles Triangle A line segment joining a vertex to the midpoint of the opposite side. A triangle has three of these. Median The point where the three medians of the triangle intersect. "The center of gravity" of the triangle. Centroid A line segment joining the midpoints of two sides of a triangle. A triangle has three of these. Midsegment A midsegment is parallel to the third side and _______ its length. half The segment joining the centroid and the midpoint is __________ of the length of the median. one-third When two triangles have corresponding angles that are congruent, the triangles are similar. AA (Angle-Angle) Similarity When two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, the triangles are similar. SAS (Side-Angle-Side) Similarity The Pyhagorean Theroem can only be used with _______ triangles. right-angled SSS If the three sides of the triangle are congruent to three sides of another triangle, the the triangles are congruent. SAS If two sides and the INCLUDED ANGLE of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent ASA If two angles and the INCLUDED SIDE of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. AAS If two triangles and a NON-INCLUDED side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. CPCTC Corresponding parts of congruent triangles are congrent What are these figures? Rays What are these lines called? Skew Lines What are these figures? Line Segments What are <2 and <4 referred to as? Vertical Angles What are the three lines pictured in the triangle? Midsegments of a triangle What proof of similar triangles is pictured? AA Theorem (Angle-Angle) What proof of congruent triangles is shown here? SSS Theorem (Side-Side) What proof of congruent triangles is pictured? SAS Theorem (Side-Angle-Side) What proof of congruent traingles is pictured below? ASA Theorem (Angle-Side-Angle) Is this a proper proof of congruent triangles? If so, which one? Yes, AAS Theorem (Angle-Angle-Side) Determine what relation <2 has with <6. They are Corresponding Angles Two angles that lie between parallel lines on the same side of the transversal. Consecutive Interior Angles Name the relationship between <2 and <8 They are Consecutive Exterior Angles

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