Vocabulary
Definition of a triangle
What is a polygon/shape with three sides?
If three sides of on triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
What is Side-Side-Side(SSS) Congruence Postulate?
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangle are congruent.
What is SAS?
Draw a pair of congruent figures with the markings to show they are congruent
What is...?
Draw a scalene right triangle with the correct markings
What is..?
Definition of a Isosceles Triangle
What is a triangle with at least 2 congruent sides?
Definition of the Third Angles Theorem
What is if two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent?
What Congruence Theorem would you use for this problem?
(Number 7 on sheet)What is ASA?
Property that proves if triangle ABC is congruent to triangle DEF and DEF is congruent to JKL, then ABC is congruent to JKL.
What is the transitive property of congruent triangles?
Write a congruence statement for these two triangles including all the corresponding angles and sides
(Number 1 on sheet)
What is Angle J = Angle T, Angle K= Angle S, Angle L = Angle R. JK=ST, JL=RT, SR=KL
Definition of Corresponding Parts
What is matching parts in two figures?
If two angles and a non-included side of one triangle are congruent to two angles and the non-included side of a second triangle, then the two triangles are congruent
What is Angle-Angle-Side (AAS) Congruence Theorem?
If two angles of a triangle are congruent, then the sides opposite them are congruent.
What is converse of Base Angles theorem?
Use the third angles theorem to find the measure of angle BDC.
(Number 2 on Sheet)
What is the measure of angle BDC equals 105 degrees?
Write a simple proof that shows triangle LKM is congruent to triangle MNL
(number 3 on sheet)
What is SSS?
Definition of a Hypotenuse of a right triangle
What is the side opposite the right angle?
Draw an example of when to use ASA Congruence Theorem
What is a drawing of two triangles with two congruent angles and one congruent included side?
What Congruence Theorem should be used to prove these two triangles congruent?
(Number 8 on sheet)
What is HL?
Use isosceles and equilateral triangles to find the value of y and x.
(number 5 on sheet)
What is y=4 and x=3?
Name the type of transformation shown
(number 6 on sheet)
What is translation?
Definition of a flow proof
What is a proof that uses arrows to show the flow of a logical argument?
Definition of Exterior Angle Theorem
What is the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles?
Name all of the Congruence Theorems
What is AAS, SSS, ASA, HL, SAS?
Write a simple flow proof that proves why triangle MLP is congruent to triangle MNQ.
(Number 4 on sheet)
What is….
Prove triangle PLM is congruent to triangle QNM
Given: M is the midpoint of LN
Triangle PMQ is isosceles with PQ as the base
Angle L and Angle N are right angles
(number 4 on sheet)
What is HL?