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Write a paragraph proof to show that the base angles of an isosceles trapezoid are congruent?
To prove that the base angles of an isosceles trapezoid are congruent, consider an isosceles trapezoid ( ABCD ) with ( AB \parallel CD ) and ( AD \cong BC ). By the properties of parallel lines, the angles ( \angle DAB ) and ( \angle ABC ) are consecutive interior angles formed by the transversal ( AD ) and ( BC ), respectively, thus ( \angle DAB + \angle ABC = 180^\circ ). Similarly, the angles ( \angle ADC ) and ( \angle BCD ) also sum to ( 180^\circ ). Since ( AD \cong BC ) and the trapezoid is isosceles, the two pairs of opposite angles must be equal, leading to ( \angle DAB \cong \angle ABC ) and ( \angle ADC \cong \angle BCD ), proving that the base angles ( \angle DAB ) and ( \angle ABC ) are congruent.
Segment DC is a diameter of circle A in the figure below. If angle DAB measures 34 degrees what is the measure of arc BC?
In a circle, the measure of an angle formed by a chord and a tangent at a point on the circle is half the measure of the intercepted arc. Since segment DC is a diameter, angle DAB is an inscribed angle that intercepts arc DB. Therefore, the measure of arc DB is twice the measure of angle DAB, which is 68 degrees. Since arc BC is the remainder of the circle, arc BC measures 360 degrees - 68 degrees = 292 degrees.
How do you find the unknown side of a quadrilateral with 3 known sides and 4 angles?
Several options:Draw it and measure the missing side.Use coordinate geometry. You can draw the base and two of the sides since you know the angles that these lines make and their lengths. You therefore know their upper end points and so calculating the length of the fourth side is trivial.Consider the triangle ABC. Sides AB and BC are known as is angle ABC. So you can use the sine rule to calculate AC and angles CAB and ACB. Angle DAB is known so angle DAC = DAB - CAB, angle ACD = BCD - ACB. In triangle ACD, two angles are known so all three are known. Use the sine rule again to find CD.
In a gm ABCD the bisector of angle A also bisect BC at X. Prove tht AD2 AB?
AX bisects angle DAB so angles DAX and XAB are equal. .. .. .. .. .. .. .. .. (i)DA is parallel to CB and AX is an intercept.So angle DAX and AXB are alternate angles and therefore angles DAX and AXB are equal.Therefore, by (i) angles XAB and AXB are equal.Thus triangle BAX is isoscelestherefore AB = BX.BX = 1/2*BC = 1/2*AD (since ABCD is a parallelogram).Therefore AB = BX = AD/2.
What are the types of geometric angles?
Right angle, obtuse angle, acute angle, supplementary angle, complementary angle, interior angle, exterior angle, adjacent angle
Write a paragraph proof to show that the base angles of an isosceles trapezoid are congruent?
To prove that the base angles of an isosceles trapezoid are congruent, consider an isosceles trapezoid ( ABCD ) with ( AB \parallel CD ) and ( AD \cong BC ). By the properties of parallel lines, the angles ( \angle DAB ) and ( \angle ABC ) are consecutive interior angles formed by the transversal ( AD ) and ( BC ), respectively, thus ( \angle DAB + \angle ABC = 180^\circ ). Similarly, the angles ( \angle ADC ) and ( \angle BCD ) also sum to ( 180^\circ ). Since ( AD \cong BC ) and the trapezoid is isosceles, the two pairs of opposite angles must be equal, leading to ( \angle DAB \cong \angle ABC ) and ( \angle ADC \cong \angle BCD ), proving that the base angles ( \angle DAB ) and ( \angle ABC ) are congruent.
If the measure of angle DAB is 50 degrees and the measure of angle DAC is 20 degree what is measure of CAB?
If that is the angles of a triangle then the 3rd angle is 110 degrees
Segment AB is the diameter of Circle O Find the measure of angle DAB?
Well, it seems like we need more info about where is point D. And also would be good to know about the angle DOB (this would be an angle that goes from A- to the center"O" and then to B. There should be an DOB. In this case, DOB would be two times the measure of DAB. Let's say that DOB is 90; so DAB is 45.
If this figure is an isosceles trapezoid what is the measure of angle DAB?
There is no figure to be seen but an isosceles trapezoid will have equal base angles.
When did guinevere did?
dab dab dab
How do you use dab in a sentence?
A little dab will do you. Dab some on me! A dab and a promise will do the trick! My favorite painting technique to give texture is the ol' "stab and dab" method.
What are some words that end with dab?
Some words that end with "dab" include: dab, kebab, and stab.
Can frogs dab?
Yes They Can Dab
Is Bessie Coleman related to Zendaya Coleman?
yes
This town was named after people from Denmark nz?
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What's the techno song that goes Bo DA Bo do Bo De dab a die Bo dab a De dab a dab o do Bo De dab a die?
Eifel 65 -I'm Blue
What is the past participle of dab?
Dabbed is the past participle of dab.
