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You can classify triangles by:
- Whether one of their angles is greater than 90 degrees, equal to 90 degrees, or all angles are less than 90 degrees
- Whether they have two or three congruent angles (equivalent to having two or three congruent sides)
I think that's about it.
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How does the measure of an angle help you classify shapes?
In triangles the angles can be all sorts of measurement but the three angles always add to 180 degrees. In quadrilaterals the angles usually measure to 90degrees in all four corners. But in things line trapezoids and parallelograms the angles differ. In a pentagon the angles are 120 degrees. All five of them.
How many acute angles in a square divided into four equal triangles?
An acute angle is less than 90 degrees. Dividing a square into four equal triangles would not have any acute angles since they would all be 90 degrees. A 90 degree angle is called a right angle.
How do you find an measure of an angle in a rectangle?
A rectangle is a quadrilateral (four sided shape) with four right angles. Therefore, the measure of every angle is 90 deg.
What is the sum of the interior angle of a twenty sided polygon?
(20-2)*180 18*180 3240 The way that I remember this is that a triangle, 3 sides, has one triangle in it. A four sided figure, if you draw one diagonal, has 2 triangles in it. So there are 2 less triangles in a figure than the number of sides. A triangle's interior angle measure is 180 degrees.
What are the four congruence theorem for right triangle?
four types aressssasrhsasa1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent.2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent.3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent.4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
How does the measure of an angle help you classify shapes?
In triangles the angles can be all sorts of measurement but the three angles always add to 180 degrees. In quadrilaterals the angles usually measure to 90degrees in all four corners. But in things line trapezoids and parallelograms the angles differ. In a pentagon the angles are 120 degrees. All five of them.
What trapezoid can be subdivided into four congruent right triangles?
An isosceles trapezoid can be subdivided into 4 right angle triangles.
How do you prove triangles similar?
To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.
How you can use two triangles to show that the sum of the angle measure in a four-sided figure is 360 degrees?
If you are allowed to "know" that the sum of the interior angles of a triangle is 180 degrees, then you can construct the diagonal of the four sided figure making two triangles and when you add 180 to 180 you get 360.
How many acute angles in a square divided into four equal triangles?
An acute angle is less than 90 degrees. Dividing a square into four equal triangles would not have any acute angles since they would all be 90 degrees. A 90 degree angle is called a right angle.
What characteristics help you classify a quadrilateral as a parallelogram and not a triangle?
Triangles have only three sides; all quadrilaterals, including parallelograms, have four.
Four sided shape angle measure?
An angle in a four sided shape can have any measure in the interval (0, 360) degrees except 180 degrees.
How do you find an measure of an angle in a rectangle?
A rectangle is a quadrilateral (four sided shape) with four right angles. Therefore, the measure of every angle is 90 deg.
What is the sum of the interior angle of a twenty sided polygon?
(20-2)*180 18*180 3240 The way that I remember this is that a triangle, 3 sides, has one triangle in it. A four sided figure, if you draw one diagonal, has 2 triangles in it. So there are 2 less triangles in a figure than the number of sides. A triangle's interior angle measure is 180 degrees.
What are the four congruence theorem for right triangle?
four types aressssasrhsasa1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent.2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent.3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent.4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
How do you prove that the diagonals in a rhombus divide the rhombus into four congruent triangles?
The proof is fairly long but relatively straightforward. You may find it easier to follow if you have a diagram: unfortunately, the support for graphics on this browser are hopelessly inadequate.Suppose you have a rhombus ABCD so that AB = BC = CD = DA. Also AB DC and AD BC.Suppose the diagonals of the rhombus meet at P.Now AB DC and BD is an intercept. Then angle ABD = angle BDC.Also, in triangle ABD, AB = AD. therefore angle ABD = angle ADC.while in triangle BCD, BC = CD so that angle DBC = angle BDC.Similarly, it can be shown that angle BAC = angle CAD = angle DCA = angle ACB.Now consider triangles ABP and CBP. angle ABP (ABD) = angle CBP ( CBD or DBC),sides AB = BCand angle BAP (BAC) = angle BCP (BCA = ACB).Therefore, by SAS, the two triangles are congruent.In the same way, triangles BCP and CPD can be shown to congruent as can triangles CPD and DPA. That is, all four triangles are congruent.
What are the four congruence theorems for a right triangle?
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
