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70 Cards in this Set
- Front
- Back
- 3rd side (hint)
triangle
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formed by 3 segments joining 3 noncollinear points
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You can name every triangle
________ different ways |
6
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All 3 angles are acute
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acute triangle
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One angle is obtuse
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obtuse triangle
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One angle is right
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right triangle
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All 3 angles are congruent.
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equiangular triangle
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No sides are congruent
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scalene triangle
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At least 2 sides are congruent
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isosceles triangle
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Vertex of a triangle
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Where two legs come together
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A base angle is at either end of the
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base of a triangle
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2 legs make a _______ triangle
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right
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All interior angles add up to _______
in a triangle |
180
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Theorem 4:2 Exterior Angle theorem
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The measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 nonadjacent interior angles.
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corollary
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is a statement that can be proved easily using theorems
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Corollary to the triangle sum theorem
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The acute angles of a right triangle are complementary.
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Exterior angle
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an angle where one side is the triangle and one side is the extended piece
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interior angles are
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angles inside of the triangle
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exterior angle
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angles adjacent to the interior angle
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scalene triangle
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no congruent sides
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two sides sharing a common vertex are
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adjacent sides
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Each of the three points joining the sides of a triangle is a
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vertex
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The sides opposite the right angle is the ________ of the triangle
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Hypotenuse
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When the sides of a triangle are extended, other ______ are formed
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angles
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The acute angles of a right triangle are _________
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complementary
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Can a scalene triangle be equiangular?
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no
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Can an isosceles triangle be obtuse
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yes
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Can a right triangle be equilateral
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no
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The ratio of the measures of the angles in a triangle is 3:2:1. Find the measures
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90,60,30
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The hypotenuse of a right triangle is always the side opposite the right angle and is the ___________ side
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longest
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The legs of an __________ triangle are always the sides that are congruent.
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isosceles
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obtuse scalene triangle
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none of the sides are the same and there is at least one obtuse angle
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6 exterior angles in a
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triangle
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acute isosceles
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classified by size and angle
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right scalene
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No sides are equal and there is a right angle
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angle measures 20, 145, 15 degrees
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describes a obtuse triangle
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An interior angle of a triangle and one of its adjacent exterior angles are _______ SUPPLEMENTARY.
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ALWAYS
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The acute angles of a right triangle are ___________ complementary.
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always
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A triangle _____has a right angle and an obtuse angle.
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never
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An interior angle of a triangle and one of its adjacent exterior angles are _______ SUPPLEMENTARY.
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ALWAYS
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An isosceles triangle is ________ an equilateral triangle.
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sometimes
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An obtuse triangle is ________ an isosceles triangle.
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sometimes
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In an equilateral triangle all the sides can be the
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legs or base
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An equilateral triangle is also ______________;however, the term equilateral is more specific and therefore the better term to describe a triangle with three congruent sides.
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isosceles
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The ____________ of a right triangle is always the side opposite the right angle and is the longest side.
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Hypotenuse
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The _____ of an isosceles triangle are always the sides that are congruent.
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legs
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congruent
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there is a corresponsdence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent
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Single, double, and triple arcs are used to show
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congruent angles
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Can you draw an acute scalene triangle?
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Yes
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Can you draw an obtuse equilateral triangle?
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no
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Can you draw a right isosceles triangle?
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yes
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Can you draw a scalene equiangular triangle?
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no
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Can you draw a right scalene triangle?
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yes
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Corresponding parts are
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matching parts
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_____________ have the same shape and the same size. They look exactly alike.
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Congruent
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Two triangles are _________ if and only all 6 pairs of corresponding parts are congruent.
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congruent
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__________ parts of congruent triangles are congrent
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Corresponding
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To match up the triangles, try to _________,flip, or _______
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slide, rotate
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_____ congruent triangles have 3 pairs of congruent sids and 3 pairs of congruent sides.
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Two
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SSA
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is not a congruence postulate
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SAS
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The congruent angles have to be in between the congruent sides
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Explain the difference between SSS and SAS congruence postulate.
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Both are used to prove triangles congruent.
SSS is used when three sides of one triangle are congruent to three sides of a second triangle. SAS is used when two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle. |
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Reflexive property
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anything congruent to itself
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Knowing that all pairs of ___________parts of congruent triangles are congruent can help you reach conclusions about congruent figures.
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corresponding
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corr...
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Steps for proofs
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1. Copy the diagram
2. Mark the given info on the diagram with tic marks 3. Mark any additional info that you can deduce |
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How many parts do you need to prove triangles congruent?
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3
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Once you have 3 congruent parts in the correct you can
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stop the proof and know that you have proven the two triangles congruent.
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In a proof, you write the given as your ______step.
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first
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Def. of angle bisector
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Splits an angle into two equal parts.
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Can you use the follwoing info to prove 2 triangles congruent?
ASA |
yes
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Can you use the following info to prove 2 triangles congruent?
AAA SSA |
no
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