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Geometry Ch 4
Stepp's Prentice Hall Geometry Chapter 4 Congruent Triangles
| Question | Answer |
|---|---|
| The sum of the interior angles of any triangle is ___ | 180 |
| In a right triangle, the two acute angles are ___ | complementary |
| An isosceles triangle has 2 congruent ____ angles | base |
| If a triangle has a pair of twin sides, then it has a | pair of twin angles |
| The twin sides of an isosceles triangle are called ___ | legs |
| The other side in an isosceles triangle is calle the ___ | base |
| The angle between the twin sides of an isosceles triangle is the ___ | vertex angle |
| If a triangle has two congruent angles then it has ___ | two congruent sides |
| If a triangle has two congruent sides then it has ___ | two congruent angles |
| An equilateral triange is ___ | equiangular |
| An equiangular triangle is ___ | equilateral |
| Each angle in an equilateral triangle is ___ | 60 |
| The largest angle in a triangle is __ | across from the largest side |
| The longest side of a triangle must be ___ | shorter than the sum of the other two sides |
| The smallest side in a triangle is __ | across from the smallest angle |
| An exterior angle is equal to ___ | the sum of the two remote interior angles |
| SSS stands for ____ | side-side- side |
| SAS stands for ____ | side-angle- side |
| SAA stands for ____ | side-angle- angle |
| ASA stands for ____ | angle-side- angle |
| The two triange congruency shortcuts that do not work are ___ | ssa and aaa |
| Which angle must be used to properly apply SAS? | the included angle |
| Which side must be used in order to properly apply ASA? | the side between the two angles |
| If you have AAA then the triangles must be __ | similar ( not congruent) |
| CPCTC stands for ___ | Corresponding Parts of Congruent Triangles are Congruent |
| A good technique for considering a diagram with "siamese triangles" is ___ | draw them seperately |
| The bisector of the vertex angle of an isoscelese triangle is also the ___ to the base | Perpendicular bisector |
| If two angles of one triangle are congruent to two angles of another triangle, then _____ | the third angles are congruent |
| When two figures are congruent, you can move one so that _____ | it fits exactly on the other one |
| When you name congruent polygons always list the corresponding vertices ____ | in the same order |
| In order to use CPCTC in a proof you must first show ___ | that the triangles are congruent |
| The side across from the 90 degree angle is the ____ | hypotenuse |
| In order to use the HL shortcut in a proof, you must first show that the triangles are ____ | right triangles |
| The L in HL stands for ___ | Leg |
| The longest side in a right triangle is called the ____ | hypotenuse |
| When you state that something is congruent to itself, the reason is ____ | the reflexive property of congruence |
| When working with overlapping triangles it is useful to ___ | redraw the triangles seperately |
| What is the difference between AAS and ASA? | Whether or not the side is between the angles or not |
| Bisectors always make ___ parts | twin |
| Base Angles are found _____ from the congruent side of an isosceles triangle | across |
| If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then ___ | the triangles are congruent |
| Why are the triangle congruency postulates and theorems called shortcuts? | Because you can show congruece with less than all 6 parts of a triangle |
| Equilateral Triangles are also ___ | isosceles |
| A ___ is a statement that immediately flows from a theorem | corollary |