Similar Triangles
Altitude is equal to
90 degrees
Never
A circle and a square
Angle bisector
A segment kine ronray that bisexts and angle
Median
A segment that connects a vertex of a triangle to the midlint of the opposite side
Altitude
A segments with ine endpoint for the vertex and the other that contains that vertex so the segment is perpendicular to this line
Isoceles
At leadt two sides are comgruent
Regular polygon
Convex polygon in which all sides and all the angles are congruent
< D
Fill in the missing information
< Q
Fill in the missing information
< R
Fill in the missing information
Segment DE
Fill in the missing information
Segment DF
Fill in the missing information
Segment FE
Fill in the missing information
1/2
Find the designated scale factor
Converse of a triangle proportionality theorem
If a line intersects two sides if a trinagle and seperates the sides into corresponding segments of proportional lenghts, then the line is parralelo to the third side
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally
Triangle Angle-Bisector Theorem
If a ray bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides
SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar
SSS Similarity
If the sides of two triangles are in proportion, then the triangles are similar
Proportionality Corollary
If three parallel lines intersect two transversals, then they divide the transversal proportionally
AA similarity
If two angles of one triangle are congruent to two angles of another triangle, then the the triangles are similar
Convex
No points of the line are interior
A scalene triangle
No two sides are congruent
Irregular polygon
Polygons that have are not all congruent
x = 4; y = 15; < A = 70; < TBM = 30 ; < T = 70
Solve for x, y and the missing angles measures.
Concave
Some of the lines oass through the interior
Never
State whether the given figures are sometimes, always, or never similar. A kite and a parallelogram
Never
State whether the given figures are sometimes, always, or never similar. A right triangle and an acute triangle
Always
State whether the given figures are sometimes, always, or never similar. An equilateral triangle and an equiangular triangle
Never
State whether the given figures are sometimes, always, or never similar. An isosceles triangle and a scalene triangle
Sometimes
State whether the given figures are sometimes, always, or never similar. In one triangle, two sides are proportional to two sides of a second triangle
Always
State whether the given figures are sometimes, always, or never similar. Two circles
Always
State whether the given figures are sometimes, always, or never similar. Two equilateral triangles
Sometimes
State whether the given figures are sometimes, always, or never similar. Two isosceles trapezoids
Sometimes
State whether the given figures are sometimes, always, or never similar. Two isosceles triangles
Always
State whether the given figures are sometimes, always, or never similar. Two isosceles triangles in which a base angle in one triangle is congruent to a base angle in the second triangle.
Sometimes
State whether the given figures are sometimes, always, or never similar. Two parallelograms
Sometimes
State whether the given figures are sometimes, always, or never similar. Two rectangles
Always
State whether the given figures are sometimes, always, or never similar. Two regular hexagons
Sometimes
State whether the given figures are sometimes, always, or never similar. Two regular polygons
Sometimes
State whether the given figures are sometimes, always, or never similar. Two rhombuses
Sometimes
State whether the given figures are sometimes, always, or never similar. Two right triangles
Sometimes
State whether the given figures are sometimes, always, or never similar. Two scalene triangles
Always
State whether the given figures are sometimes, always, or never similar. Two squares
Yes, triangle ABC ∼ triangle ADE
State whether the triangles are similar by the AA Similarity Postulate. If yes, state the similar triangles. If no, explain why
Not similar triangles because corresponding angles of each triangle are not congruent. Triangle EDF has angle measures of 90, 31, and 59, while triangle NML has angle measures of 90, 61, and 39.
State whether the triangles are similar by the AA Similarity Postulate. If yes, state the similar triangles. If no, explain why
Always
Two isosceles triangles in which the vertex angles are congruent.
Scale Factor
the ratio of the lengths of two corresponding sides
