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Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
How will you construct an angle bisector?
First you need a compass.Given: You need to create a ray that makes 2 congruent angles.Given Angle ABC, carry out the following steps to construct the angle bisector.Step 1: Construct a circle with center at B. Label the points F and G where the circle intersects the angle.Step 2: Construct two intersecting circles of equal radii at the points F and G. Label their intersection points K and L.Step 3: Construct Ray BKYou're done! Ray BK bisects Angle ABC.It's a little confusing so it make be easier if you just wanted the video with the drawing.
Why is SSA not a congruent shortcut?
SSA is ambiguous. If A is not a right angle, then there are two possible configurations for the triangle. So they need not be congruent.
Angle bisector of angleA of triangleABC is perpendicular to BC prove it is isosceles?
Let D represent the point on BC where the bisector of A intersects BC. Because AD bisects angle A, angle BAD is congruent to CAD. Because AD is perpendicular to BC, angle ADB is congruent to ADC (both are right angles). The line segment is congruent to itself. By angle-side-angle (ASA), we know that triangle ADB is congruent to triangle ADC. Therefore line segment AB is congruent to AC, so triangle ABC is isosceles.
Is it possible to construct a right triangle with all sides congruent?
No. The sum of the three angles of a triangle are 180 degrees. If all the sides are congruent, then so are the angles. So each of them is one third of 180 degrees, or 60 deg.
What is the measurement of a congruent angle?
A congruent angle can also mean equal angle. So there is no set measurement of a congruent angle. Just the same as the angle it is equal to.
Do you always get two congruent angles when you bisect an angle?
Yes, bisecting means to cut something into two equal parts so bisecting an angle would leave you with two equal or congruent angles.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Are triangles congruent if so how do you know?
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Are the consecutive angles of a square congruent?
yes consecutive angle of square are equal bcoz every angle of a square is 90...so
How will you construct an angle bisector?
First you need a compass.Given: You need to create a ray that makes 2 congruent angles.Given Angle ABC, carry out the following steps to construct the angle bisector.Step 1: Construct a circle with center at B. Label the points F and G where the circle intersects the angle.Step 2: Construct two intersecting circles of equal radii at the points F and G. Label their intersection points K and L.Step 3: Construct Ray BKYou're done! Ray BK bisects Angle ABC.It's a little confusing so it make be easier if you just wanted the video with the drawing.
What measure of angle A will make angle ABC congruent to angle FDE?
To have a congruent angle, the measure of the two angle must be the same, so if ABC is 15 degrees, then FDE would have to be 15 degrees also to be congruent.
Can A 10o angle is congruent to a 10o angle.?
A 10 degree acute angle is the same as a 10 degree acute angle and so therefore they are both congruent.
If two angle bisectors of a triangle are congruent then prove that triangle is isosceles?
The two angle bisectors of a triangle are congruent the those two angles are congruent. The angles are bisected the same meaning that the whole and half angle are the same. For example if they are bisected at the whole angle 50 each, then each half is 25. The bisectors really don't mean anything and all you need is 50 to know it's isosceles. 50 and 50 is 100 and the left over for the last angle is 80 adding to 180. AND overall any 2 congruent angles in a triangle have the same congruent legs making it isosceles.
What is a counterexample for all intersecting lines form right angles?
Say angle 1 is 40 which means that if angle 3 is congruent then angle 3 is also 40 by definition of vertical angles. That would make angle 2 equal to 140 by definition of a linear pair and so angle 4 is congruent by vertical angles.
Are two right triangles similar if an acute angle of one triangle is congruent to an acute angle of the other triangle?
Yes, you have two congruent angles in each triangle, one right and one acute so the third angles must be equal also.
What does side angle side mean?
side angle side means if two sides in their included angle in one triangle are congruent to the corisponding parts of the second triangle then the triangles are congruent so only if they are congruent. i need it for a classs...
