0
Add your answer:
Earn +20 pts
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
What are three ways that you can prove that triangles are congruent?
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
The term for two triangles that are congruent after a dilation is?
The term for two triangles that are congruent after a dilation is similar.
Are two triangles congruent?
no??
The length and width of a rectangle are 8 inches and 4 inches respectively What would be the area of one of the triangles formed from drawing a diagonal in the rectangle?
A=l*w A=8*4 A=32 diagonal cuts the rectangle into two congruent triangles. 32/2 = 16
Does a rectangle have two pairs of congruent triangles?
A rectangle has two pairs of congruent (meaning identical) sides.If, however, you drew two lines diagonally from corner to corner, you would have two pairs of congruent triangles within the rectangle.
Can all 4 sided shape be made by two right angled triangles?
Absolutely. Any two congruent right triangles will form a rectangle, and if the right triangles are isosceles right triangles, they will form a square.
Name the type of special quadrilateral that will appear when you join two congruent scalene right triangles?
Two scalene right triangles that are congruent, that is, that have identical size and shape, if joined together to form a quadrilateral, will form a rectangle.
How do you decompose a rectangle into congruent triangles?
Its diagonals divides it into two equal right angle triangles.
What shapes can you make out of two congruent right-angled triangles?
a rectangle
What is a solid that has one rectangle and has two pairs of congruent triangles?
Rectangular pyramid
What is c.p.c.t?
Corresponding Parts of Congruent Triangles is the full form od CPCT.
Draw two triangles with a common hypotenuse do the legs form a rectangle?
Not always. You could form a kite. That means that the two adjacent sides would be congruent, not the two opposite sides.
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
Are the sides of a triangle prism all congruent?
No. Because two are triangles and three are rectangles. A triangle cannot be congruent to a rectangle!
Are the diagonals of a rectangle congruent always?
Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.
What postulate or theorem verifies the congruence of triangles?
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
