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What reason can be used to justify that angle 1 is congruent to angle 2 and angle 3 congruent to angle 4?
Wiki User
∙ 9y ago
It could be any one or two of many applicable rules.
There's no way to tell without seeing the drawing that accompanies this question wherever you copied it from, which you have not shared.
Wiki User
∙ 9y ago
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What is the angle-angle-side rule?
Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
What is the difference between angle side angle and angle angle side?
The first is two angles and the included side whereas the second is two sides and the included angle!
Are the angle of a regular polygon congruent?
The term congruent is used in comparing two geometrical figures, it does not fit in this context. The angles of a regular polygon are equal.
What dows angle-side-angle mean in math?
Angle-Side-Angle is also called ASA. ASA formula is used to determine congruency. It means that 2 triangles are congruent if 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle.
What are four ways you can prove two right triangles are congruent?
1. The side angle side theorem, when used for right triangles is often called the leg leg theorem. it says if two legs of a right triangle are congruent to two legs of another right triangle, then the triangles are congruent. Now if you want to think of it as SAS, just remember both angles are right angles so you need only look at the legs.2. The next is the The Leg-Acute Angle Theorem which states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. This is the same as angle side angle for a general triangle. Just use the right angle as one of the angles, the leg and then the acute angle.3. The Hypotenuse-Acute Angle Theorem is the third way to prove 2 right triangles are congruent. This one is equivalent to AAS or angle angle side. This theorem says if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent. This is the same as AAS again since you can use the right angle as the second angle in AAS.4. Last, but not least is Hypotenuse-Leg Postulate. Since it is NOT based on any other rules, this is a postulate and not a theorem. HL says 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.
Which cannot be used as a reason in a proof?
AAA (angle angle angle) cannot be used as a reason in a proof when proving triangles congruent .
When writing a geometric proof which angle relationship could be used alone to justify that two angles are congruent?
Vertical angles
What theorem or postulate can be used to justify that the two triangles are congruent?
Pythagorean theorem
What is the angle-angle-side rule?
Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.
How do you find a congruent angle?
Measure it, or if it is marked by a letter or number and a different shape has the SAME letter or number then the angles are congruent. A congruent angle are angles that have the same measure. Thye sign that is used to show this is ~=(~on top of the =). For example, ABC ~=PQR. This means that angle ABC has the same measure as PQR.
What is the difference between angle side angle and angle angle side?
The first is two angles and the included side whereas the second is two sides and the included angle!
Can someone help with deductive proofs please?
The idea is to show something must be true because when it is a special case of a general principle that is known to be true. So say you know the general principle that the sum of the angles in any triangle is always 180 degrees, and you have a particular triangle in mind, you can then conclude that the sum of the angles in your triangle is 180 degrees. So let's look at one you asked about so you get the idea. The diagonals of a square are also angle bisectors. Since we know a square is a rhombus with 90 angles, if we prove it for a rhombus in general, we have proved it for a square. Let ABCD be a rhombus. Segment AB is congruent to BC which is congruent to CD which is congruent to DA Reason: Definition of Rhombus Now Segment AC is congruent to itself. Reason Reflexive property So Triangle ADC is congruent to triangle ABC by SSS postulate. Next Angle DAC is congruent to angle BAC by CPCTC And Angle DCA is congruent to angle BCA by the same reason. We used the fact that corresponding parts of congruent triangles are congruent to prove that diagonals bisect the angles of the rhombus which proves it is true for a square. The point being rhombus is a quadrilateral whose four sides are all congruent Of course a square has 4 congruent sides, but also right angles. We don't need the right angle part to prove this, so we used a rhombus. Every square is a rhombus, so if it is true for a rhombus it must be true for a square.
Are the angle of a regular polygon congruent?
The term congruent is used in comparing two geometrical figures, it does not fit in this context. The angles of a regular polygon are equal.
What are reasons used in the proof that the angle-bisectors construction can be used to bisect any angle?
All of the radii of a circle are congruent CPCTC sss triangle congruence postulate
What reason can be used to conclude that ACE?
Angle-Angle Similarity Postulate
What dows angle-side-angle mean in math?
Angle-Side-Angle is also called ASA. ASA formula is used to determine congruency. It means that 2 triangles are congruent if 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle.
Which of the following are reasons used in the proof that the angle bisector construction can be used to bisect any angle?
-CPTCP -SSS triangle congruence postulate -all of the radii of the circle are congruent apex :)
