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What are the five triangle congruency theorems?
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
Assume you are given two right triangles with congruent hypotuneses and wish to show that they are congruent Which congruence theorem for right triangles that may be of use?
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
Can two pentagons be congruent by a Side side side side side congruence theorem like triangle congruence theorems?
Not in general. Imagine making a pentagon out of sticks connected with hinges for the vertexes. You can bend it all around, making pentagons that are not congruent to the original, even though the sides remain the same length. A similar triangle would be rigid, even if the corners were connected with hinges.
Why was this symbol created?
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.
If two shapes are congruent then are they also similar?
Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.
Wwhich of the following are not congruence theorems or postulates?
the congruence theorems or postulates are: SAS AAS SSS ASA
What are the congruence theorems or postulates?
They are theorems that specify the conditions that must be met for two triangles to be congruent.
Congruence theorems for right triangles?
LL , La , HL and Ha
What are the 2 triangle congruence theorems?
The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.
Which of the following are right triangle congruence theorems (Apex)?
HA, LA, HL, LL [APEX]
Which are congruence theorems for right triangles?
If the hypotenuse and a leg of two right triangles are the same measure, the triangles are congruent
Are not congruence theorems or postulates?
Putting a question mark at the end of a few words does not make it a sensible question. Please try again.
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why HIJ KLM (Apex)?
HA AAS
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why LMN OPQ (Apex)?
LA AAS [APEX]
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF KLM (Apex)?
LA and SAS [APEX]
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF JKL (Apex)?
LA ASA AAS [APEX]
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why JKL QRS (Apex)?
LA and SAS [APEX]
