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56 Cards in this Set
- Front
- Back
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What polygon has 6 sides |
hexagon |
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What polygon has 8 sides |
octagon |
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what polygon has 10 sides |
Decagon |
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What polygon has 12 sides |
Duodecagon |
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What is an equiangular polygon |
A polygon in which each angle has the same measure |
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What is an equilateral polygon |
A polygon in which each side has the same length |
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What is a regular polygon |
A polygon that is both equiangular and equilateral |
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What are the sum of the measures of the interior angles of a polygon with N sides |
180(N - 2) |
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What is the sum of the exterior angles of any polygon |
360 |
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What does an exterior angle of a regular polygon with N angles equal? |
360/N |
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What does the interior angle of a regular polygon equal? |
180 - exterior angle |
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When are two triangles considered congruent |
All pairs of corresponding angles are congruent All pairs of corresponding sides are congruent |
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What does the SSS postulate state |
It states that if the 3 sides of a triangle are congruent with another triangle, then the two triangles are congruent |
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What does the SAS postulate state |
That if 2 sides and the angle between them are congruent with another triangle, then the triangles are congruent |
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What does the ASA postulate state |
That if 2 angles and the side between them are congruent with another triangle, then the triangles are congruent |
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What does the AAS postulate state |
If the vertices of two triangles can be paired so that two angles and the side opposite one of them is one triangle are congruent to the corresponding second triangle, then the two triangles are congruent |
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What does the Hy-leg postulate state |
If the vertices of two right triangles can be paired so that they hypotenuse and leg of one triangle are congruent to the corresponding parts of the second right triangle, then the two triangles are congruent |
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What is a scalene triangle |
A triangle that has no congruent sides |
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In an isosceles triangle, what are the legs |
The congruent sides |
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In an isosceles triangle, what is the vertex |
The angle between the congruent sides |
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In an isosceles triangle, what is the base angle |
The angles opposite of the congruent sides |
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In an isosceles triangle, what is the base |
The side opposite of the vertex |
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When is an auxiliary line determined |
When only when line can meet a condition |
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When is an auxiliary line underdetermined |
When there are multiple lines that can be drawn to meet a condition |
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When is an auxiliary line overdetermined |
When there are no lines that meet the condition |
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What is the median of a triangle |
a segment drawn from a vertex to the midpoint of the opposite side |
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What is the altitude of a triangle |
A segment drawn from the vertex of the triangle perpendicular to the opposite side or the opposite side extended |
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If two sides of a triangle are congruent, what are the angles opposite of those sides |
congruent |
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The length of a side of a triangle must be less than what? |
The sum of the other two sides |
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If angle A is greater than angle B, the side opposite of what angle is longer? |
A |
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What is a quadrilateral with 2 pairs of parallel sides? |
Parallelogram |
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What is a quadrilateral with two pairs of parallel sides? |
A parallelogram |
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What is a quadrilateral with one pair of parallel sides? |
Trapezoid |
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What is a parallelogram with 4 right angles |
Rectangle |
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What is parallelogram with 4 congruent sides |
Rhombus |
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What is a parallelogram that is a rhombus and a rectangle |
Square |
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What are consecutive pairs of angles of a parallelogram |
supplementary |
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What are opposite angles of a parallelogram |
congruent |
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A diagonal in a parallelogram creates what |
2 congruent triangles |
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A diagonals of a parallelogram do what to each other |
bisect |
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Diagonals of a rectangle are what |
congruent |
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What do the diagonals of a rhombus do to the 4 angles |
bisect |
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What are the diagonals of a rhombus in relationship to each other |
perpendicular |
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If a quadrilateral has one pair of sides that are both parallel and congruent, then what is the quadrilateral |
a parallelogram |
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What needs to be proven to show that a parallelogram is a rectangle |
contains a right angle diagonals are congruent |
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What needs to be proven to show that a parallelogram is a rhombus |
a pair of congruent adjacent sides diagonals intersect at right angles diagonals bisect the vertex angle |
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What needs to be proven to show that a quadrilateral is a parallelogram |
Opposite sides are parallel opposite sides are congruent opposite angles are congruent Diagonals bisect each other A pair of sides are both parallel and congruent |
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What needs to be proven to show that a quadrilateral is a square |
A rectangle with adjacent pair of congruent sides A rhombus with right angle |
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What does the midpoints of a triangle theorem state |
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is one-half its length |
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What is an altitude of a trapezoid |
An altitude of a trapezoid is a segment drawn from any point on one of the parallel sides perpendicular to the opposite side |
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What is the median of a trapezoid |
it is the line segment that joins the midpoints of the nonparallel sides |
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What are two special properties of the median of a trapezoid |
It is parallel to the base its length is one half the sum of the two bases |
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What is the length of the median drawn to the hypotenuse of a right triangle |
it is one half the hypotenuse |
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What is an isosceles trapezoid |
A trapezoid where the legs are congruent |
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What are the base angles of an isosceles trapezoid |
congruent |
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What are the diagonals of an isosceles trapezoid |
congruent |
