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71 Cards in this Set
- Front
- Back
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The sum of the measures of the angles in every triangle is...
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180 degrees
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If two angles of one triangle are equal in measure to two angles of another triangle, then the third angle in each triangle is...
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equal in measure to the third angle in the other triangle
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If a triangle is isosceles, then the base angles are...
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congruent
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If a triangle has two congruent angles...
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then it is an isosceles triangle
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The sum of the lengths of any two sides of a triangle is...
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greater than the length of the third side
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In a triangle, if one side is longer than another side, then the angle opposite the longer side is...
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larger than the angle opposite the smaller side
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The measure of an exterior angle of a triangle is equal to...
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the sum of the measures of the remote interior angles
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If three sides of one triangle are congruent to the three sides of another triangle, then...
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the triangles are congruent (SSS)
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If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then...
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the triangles are congruent (SAS)
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If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then...
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the triangles are congruent (ASA)
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If two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then..
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the triangles are congruent (SAA)
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In an isosceles triangle, the bisector of the vertex is also...
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the altitude and the median to the base
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Every equilateral triangle is...
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equiangular
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Every equiangular triangles is...
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equilateral
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The sum of the measures of the four angles in any quadrilateral is...
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360 degrees
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The sum of the measures of the n interior angles of an n-gon is...
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180￮(n-2)
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For any polygon, the sum of the measures of a set of exterior angles is...
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360￮
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You can find the measure of each interior angle of an equiangular n-gon by using either formula:
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180￮ - 360￮/n
OR 180￮(n-2) / n |
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The nonvertex angles of a kite are...
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congruent
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The diagnoals of a kite are...
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perpendicular
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The diagonal connecting the vertex angles of a kite is...
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the perpendicular bisector of the other angle.
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The vertex angles of a kite are bisected by...
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a diagonal
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The consecutive angles between the bases of a trapezoid are...
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supplementary
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The base angles of an isosceles trapezoid are...
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congruent
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The diagonals of an isosceles trapezoid are...
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congruent
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The three midsegments of a triangle divide it into...
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four congruent triangles
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A midsegment of a triangle is...
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parallel to the third side and half the length of the third side
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The midsegment of a trapezoid is...
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parallel to the bases and is equal in length to the average of the lenths of the bases
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The opposite angles of a parallelogram are...
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congruent
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The consecutive angles of a parallelogram are...
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supplementary
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The opposite sides of a parallelogram are
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congruent
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The diagonals of a parallelogram...
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bisect each other
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If two chords are congruent then they determine...
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two central angles that are congruent
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The measure of an arc is defined as...
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the measure of its central angle
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If two chords in a circle are congruent then...
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their intercepted arcs are congruent
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The perpendicular from the center of a circle to a chord is...
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the bisector of the chord
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Two congruent chords in a circle are equidistant from...
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the center of the circle
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The perpendicular bisector of a chord goes through...
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the center of the circle
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A tangent to a circle is perpendicular to...
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a radius drawn to the point of tangency
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Tangent segments to a circle from a point outside the circle are...
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congruent
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The measure of an inscribed angle in a circle is...
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one half the measure of the central angle
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Inscribed angles that intercept the arc are...
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congruent
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Angles inscribed in a semi-circle are...
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right angles
(note: the inscribed angle intercepts and arc that is 180 degrees, so the angle must measure 90 degrees) |
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The opposite angles of a cyclic quadrilateral are...
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supplementary
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What is a cyclic quadrilateral?
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a quadrilateral inscribed in a circle
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What is a secant?
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a line that intercepts a circle in two points, contains a chord of the circle and passes through the circle (not a tangent)
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What is a scalene triangle?
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has no congruent sides
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What is a trapezoid?
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A quadrilateral with exactly one pair of parallel lines
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What is a kite?
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a quadrilateral with two distinct pairs of consecutive congruent sides
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What is a parallelogram?
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quadrilateral with two pairs of parallel lines
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What is a rhombus?
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an equilateral parallelogram
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What is a rectangle?
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a prallelogram with 4 congruent angles
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What is a square?
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an equilateral rectangle, an equilateral parallelogram, a regular quadrilateral
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What is a sector of a circle?
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the region between 2 radii and the included arc.
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What is a segment of a circle?
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the region between the chord of a circle and the included arc
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What is an annulus?
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region between two concentric circles
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How do find the area of a sector?
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a=arc
a/360(πr^2) |
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How do you find the area of a segment?
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b=base
a=altitude r=radius a/360(r^2) - 1/2(bh) |
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How do find the area of an annulus?
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πR^2 - πr^2
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On a circle, parallel lines intercept...
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congruent arcs
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How do you find the length of an arc?
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the circumference times the measure of the central angle divided by 360 degrees
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How do you find the area of a rectangle?
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b=length of base
h=height of rectangle A=bh |
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How do you find the area of a parallelogram?
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b=length of base
h=height of parallelogram A=bh |
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How do you find the area of a triangle?
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b=length of base
h=heigh of triangle A=1/2(b)(h) |
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How do you find the area of a trapezoid?
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b1 and b2=lengths of bases
h=height of trapezoid A=1/2(b1+b2)h |
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How do you find the area of a kite?
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d1 and d2=lengths of diagonals
A=1/2(d1)(d2) |
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How do you find the area of a circle?
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r=radius
A=πr^2 |
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What is a central angle?
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has its vertex at the center of the circle
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What is an inscribed angle?
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angle with vertex on the circle, sides are chords
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How do you find the surface area of a pyramid?
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l=slant height
n=number of faces A=1/2(n)(b)(l+a) |
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How do you find the surface area of a cone?
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A=πr(r+l)
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