Congruency of shapes
5.0(1)
Studied by 10 people
Call Kai
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Knowt PlayCard Sorting
1/15
Earn XP
Description and Tags
These are the things you should know for proving shapes(mostly triangles) are congruent.
Last updated 2:09 PM on 1/25/23
Name | Mastery | Learn | Test | Matching | Spaced | Call with Kai |
|---|
No analytics yet
Send a link to your students to track their progress
16 Terms
1
New cards
congruent triangles
2 triangles are congruent if and only if all pairs of corresponding sides and angles are congruent
2
New cards
congruent polygons
two polygons whose corresponding sides and angles are congruent when you name you must name corresponding verticals in order
3
New cards
Third Angles Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
4
New cards
Side-Side-Side (SSS)
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
5
New cards
Angle-Side-Angle (ASA)
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
6
New cards
AAS Theorem
If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
7
New cards
isosoles triangle
has at least two congruent sides and two congruent angles
8
New cards
Converse of the Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
9
New cards
Theorem 4-5 - Perpendicular Bisector Equidistant Theorem - PBET
If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base
10
New cards
vertex
A point where two or more straight lines meet.
11
New cards
collorary
Therom that proves a theorom
12
New cards
Corollary to Theorem 4-3
If a triangle is equilateral, then the triangle is equiangular
13
New cards
Corollary to theorem 4-4
If a triangle is equiangular, then the triangle is equilateral.
14
New cards
Hypotenuse Leg Theorem
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
15
New cards
Conditions for HL theorem
1. There are two right triangles
2. The triangles have congruent hypotenuses
3. There is one pair of congruent legs
16
New cards
Hypotenuse
the side of a right triangle opposite the right angle
