T/GEOMETRY - UNIT 4 CONGRUENT TRIANGLES AND QUADRILATERALS
HL
A hypotenuse and a leg define congruence.
HA
A hypotenuse and an acute angle define congruence.
LA
A leg and an acute angle define congruence.
rhombus
A parallelogram with all sides equal
rectangle
A parallelogram with four right angles.
parallelogram
A quadrilateral with both pairs of opposite sides parallel.
trapezoid
A quadrilateral with exactly one pair of parallel sides.
square
A rectangle with all sides equal and four right angles.
altitude of a triangle
A segment from a vertex perpendicular to the opposite side.
median of a triangle
A segment from a vertex to the midpoint of the opposite side.
one-to-one correspondence
A situation for which each member of a set, such as angles of a triangle, can be paired with one and only one member of another set.
isosceles trapezoid
A trapezoid with legs of the same length.
congruent figures
If a one-to-one correspondence between the parts of two figures is such that the corresponding parts are equal, then the figures are congruent.
Which of the following statements are always true of parallelograms?
It is a quadrilateral Both pairs of opposite sides are parallel
Which of the following statements are true of the hypotenuse of a right triangle?
It is the longest side of a right triangle It is opposite the right angle
base of an isosceles triangle
The third, unequal side of an isosceles triangle.
base angles
The two angles that include the base of an isosceles triangle.
corresponding angles
Angles paired with one another in a one-to-one correspondence between geometric figures.
corresponding sides
Sides paired with one another in a one-to-one correspondence between figures.
vertex angle
The angle formed by the two equal sides of an isosceles triangle.
included angle
The angle formed by two sides of a triangle.
Ratio
The comparison of two numbers by division. The quotient is the ratio of the two numbers.
legs of a trapezoid
The nonparallel sides.
bases of a trapezoid
The parallel sides
median of a trapezoid
The segment connecting the midpoints of the legs.
included side
The side of a triangle that is formed by the common side of two angles.
Two angles of a triangle measure 30° and 60°. Which of the following is true of the sides opposite these angles?
The side opposite the 60° angle is longer than the side opposite the 30° angle
LL
Two legs define congruence.
orthocenter
a point in which the three altitudes of the triangle intersect. It is possible for the orthocenter to occur on the triangle, on the interior of the triangle or on the exterior of the triangle
centroid
a point on the interior of a triangle in which the three medians of the triangle intersect
If two triangles are congruent, then the six _ parts are congruent.
corresponding
If all three sides of a triangle are different lengths, it cannot be a right triangle.
false
Which of the following are quadrilaterals?
trapezoids rectangles squares parallelograms