0

# Which postulate proves that trianglePNQ and triangleQRP are congruent?

Updated: 12/4/2022

Wiki User

11y ago

Be notified when an answer is posted

Earn +20 pts
Q: Which postulate proves that trianglePNQ and triangleQRP are congruent?
Submit
Still have questions?
Related questions

### Postulate that proves two triangles congruent using all three sides?

The Side Side Side or SSS postulate says f three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

### What is the theorem that proves triangles congruent?

law of congruency

### What postulate proves that two triangles are congruent?

Side Side Side Side Angle Side Angle Side Side Angle Side Angle Side Side Angle Angle Angle Side With Angle congruency and Side congruency in that order

### What method proves a trapezoid isosceles?

A trapezoid can be proven isosceles by proving that the 2 legs are congruent (by definition), or that the 2 base angles (either upper or lower) are congruent.

### What proves that the angles of a triangle add up to be 180?

The 3 vertices of a triangle when cut off will tessellate to form a straight line and angles on a straight line add up to 180 degrees or simply use a protractor to measure each angle.

### What is a geometery word that starts with j?

A word used in geometery starting with a J is justification. You use it when you are given a situation you need to solve. The justification is either a postulate or theorem that proves that how you get your answer is right.

### In right triangle JKL mK 44. In right triangle PQR mQ 44. Which similarity postulate or theorem proves that JKL and PQR are similar?

The answer will be AA which is short for (Angle Angle). Hope this helped.

aa

### Explain why you can not use angle angle angle to prove two triangles are congruent?

Knowing that three angles are congruent only proves that two triangles are similar. Consider, for example, two equilateral triangles, one with sides of length 5 and the other of lengths ten. Both have three angles of 60 degrees each, but they are not congruent because their sides are not of the same length.

### How do you choose a congruence conjecture that proves triangles congruent?

You have to choose one that fits the available data. Check the relationship between the data you know, for example an angle between two sides, etc.

### 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.

### In an isosceles triangle does the median to the base bisect the vertex angle?

In the diagram, ABC is an isoscels triangle with the congruent sides and , and is the median drawn to the base . We know that &ang;A &cong; &ang;C, because the base angles of an isosceles triangle are congruent; we also know that &cong; , by definition of an isosceles triangle. A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side. That means &cong; . This proves that &Delta;ABD &cong; &Delta;CBD. Since corresponding parts of congruent triangles are congruent, that means &ang;ABD&cong; &ang;CBD. Since the median is the common side of these adjacent angles, in fact bisects the vertex angle of the isosceles triangle.