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Congruent triangles are similar figures with a ratio of similarity of 1, that is
1
1
. One
way to prove triangles congruent is to prove they are similar first, and then prove
that the ratio of similarity is 1. In these sections of the text the students find short
cuts that enable them to prove triangles congruent in fewer steps, by developing
five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and
HL ! , illustrated below.
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What make triangles congruent?
Triangles are congruent to each other if they have the same 3 sides in length and have the same interior angles.
What congruent shape can 2 right-angled triangles make?
Isosceles triangle
Can two congruent equilateral triangles can be joined to make a rhombus?
no it makes a square.
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
How do you use geomitry words to describe how to join triangles to make quadrilaterals?
Any 2 congruent triangles joined together will form a 4 sided quadrilateral
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
What make triangles congruent?
Triangles are congruent to each other if they have the same 3 sides in length and have the same interior angles.
Can two scalene triangles not be congruent but have 5 congruent parts?
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
How do you make two triangles congruent?
By the property of congruent (s s s) s as RHS a s a.
You can build two triangles that have the same side lengths but are not congruent.?
No, triangles with the same side lengths are always congruent.
Do the diagonals of a rhombus make two pairs of congruent triangles?
yes
What shapes can you make out of two congruent right-angled triangles?
a rectangle
How many triangles are needed to make a figure that is congruent to a hexagon?
6
How do you make a triangle with 2 triangles and 1 rectangle?
If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.
What solid figure can you make with a square and 4 congruent triangles?
You can make square pyramid.
How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
What congruent shape can 2 right-angled triangles make?
Isosceles triangle
