Given: AD = BC and AC = BD. Prove: AFDC is an isosceles triangle.

Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: If the area of parallelogram ABCD = 246 mm? and h = 20.5 mm, what is the length of the base of…

A:

Q: ABC is an isosceles triangle, with AB = AC. A 13 cm C 9 cm [2]

A: Explanation of the answer is as follows

Q: Given a triangle with interior angles a, ß, y, and opposite sides with lengths a, b, c respectively,…

A: For the given triangle value of angle α= 30 degree

Q: Given the side measurements, classify the triangle. 11, 13, 24 A Acute B) Obtuse Right D Not a…

A: Given: The side measurements of the triangle: 11,  13,  24

Q: ADCM and ANLO are given. M 12 49 21 14 16 7, 40 Use the dropdowns below to correctly describe the…

A: Given-   To find- Types of triangle. Concept Used- Taking the ratio of sides, we can find the types…

Q: What is the length of the hypotenuse of triangle ABC? ¿Cuál es la longitud de la hipotenusa del…

A: Here we have to find the length of the hypotenuse of triangle ABC.

Q: Which type of triangle is shown below? 十 O Scalene O Obtuse O Equilateral O Isosceles

A: We can answer the question as below.

Q: Determine the type of triangle that is drawn below. H 420 7.66 7.66 69° 69° G. F 5.5 O Scalene Acute

A: We are asked to determine the type of the triangle.

Q: Determine the method by which the triangles shown are congruent.

A: Here given graph as

Q: The triangles are congruent by E В A с D

A: Given:

Q: Given that AB is a diameter of circle O and mAD = 130°, what is the measure of ZDAB? %3D C 130 VB…

A:

Q: Given that EF is the midsegment of trapezoid ABCD, what is AB? A В E 9.2 cm 12.6 cm

A: .

Q: For the square-based right pyramid, calculate: A a the length BD, b angle ABD, c the area of AABD, d…

A: In this question given that a square based right Pyramid . And we find its square digonal length…

Q: Show use of trigonometry to determine the size of angle ZPRQ in the triangle below, where 2QPR =…

A:

Q: Find the area of the given triangle, given that: 3. b = 28.6, c = 44.3 and B = 23.30 %3D

A:

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the perimeter of the…

A: Step: 1 Equilateral Triangle:- A triangle, in which every sides all three sides have the same…

Q: If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

A: A triangle is right angle triangle if it obeys the Pythagoras theorem which says (Hypotenuse)²…

Q: In parallelogram ABCD, m<B=5x and m<C=2x+12. Find the measure of the exterior angle at D.

A: Please refer to the diagram below:

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW ACDZ. х.…

A: Kite ABCD and isosceles trapezoidal WXYZ. WD ≅DZ XB≅BY

Q: A goldsmith designed a trapezoidal pendant as shown in the figure below. If the perpendicular…

A: Given Pendant is in shape of Trapezoid . ⇒Area of Trapezoid = 12×Sum of Parellel sides×Distance…

Q: In right triangle ADE shown, AC = 12, CE = 10, and AB = 10. What is the length of DE? %3D 22 VII 5…

A: The given triangles has length, AC=12, CE=10 and AB=10

Q: Based on the triangle below, what is the length of DF?

A: As mentioned in the figure side EF and side DE are equal EF=DE Put values mentioned in the figure…

Q: In isosceles trapezoid DEFG, DE || GF and mZD = Find the measures of the other angles in the…

A: We have the given information as DEFG is an isosceles trapezium  DE||GF m∠D=108°

Q: Suppose that m∠BCA=70∘, and that x=31 cm and y=51 cm. What is the degree measure of ∠ABC?

A:

Q: If RS = 35, ST = 37, and RT = 71, is ARST a right triangle? Explain.

A:

Q: Consider the figure below, in which oc = OP = OB = 1, OA = x, and AP = y. y R P 1 A B Use similar…

A: From the ∆OAP and ∆QCO ⇒∠O=∠Q (alternate angles)⇒∠A=∠C (right angles)⇒∠P=∠O (remaining angle of ∆)…

Q: Given the rectangular Fie. YLind

A: A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid…

Q: Use the results from Exercises 36 and 37 to find the length of the radius of the inscribed circle…

A: a) The sides of triangle are given to be 8, 15 and 17. Let us check whether the triangle is right…

Q: ABC is an isosceles triangle, with AB = AC. A 12 cm 65° C

A: # we are entitled to solve one question at a time please resubmit the other question if you wish to…

Q: Find the perimeter of a right trapezoid whose parallel sides measures 8cm and 11cm with one of the…

A: Given information: The objective is to find the perimeter of a right trapezoid whose parallel sides…

Q: If A = B = C = are the coordinates of a triangle, compute: A C length of AC length of AB B units…

A:

Q: A gemstone in the shape of a rhombus has the measurements shown. Match the measures with the angles.…

A:

Q: Determine the type of triangle that is drawn below. N 45° 5.02 7.11 90 M 45° 5.02 Scalene Acute…

A: A triangle is said to be acute triangle if all three angles of a triangle are less than 90o.  A…

Q: In triangle QRS, T, U, and Bare midpoints. What are the lengths of TU , UB, and QR ? 30 T 50 B 40…

A:

Q: In the circle shown, measure of angle HPL= 1/2( mHL+mJM). True or false?

A: measure of angle HPL= 1/2( mHL+mJM)

Q: In right triangle SRT below, mZR = 90°, mZS = 30° and SR = 4 , what is the length of ST? R

A:

Q: g) X = y = 8 ém 6 cm perimeter = %3D

A: 1) All the side of rhombus are equal.Therefore x is eaqual to y 2) Its diagonal intersect at 90…

Q: In triangle ABC (not shown), M is the midpoint of AB and N is the midpoint of AC.   If MN = 3x – 11…

A: Given: A triangle ABC with M midpoint of AB and N a midpoint of AC. MN = 3x-11 and BC = 4x+24 To…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 64 –…

A: As given D is midpoint of AB so BD=AB/2 As given E is midpoint of BC so BE=BC/2 Now using property…

Q: Find the measure of each angle in the isosceles trapezoid. 82이 R mZQ= mZT= mZR=

A:

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: V W T U

A:

Q: Why are these triangles congruent?

A: The triangles XYZ and XZW are given, we have to show that they are congruent.

Q: In the triangles shown, AABC has been dilated to obtain AA'B'C'. 110t

A: Find the centre of dilation.

Q: In circle P, if mQR = 110°, mRS = 94', and m2QRT = 27°, find each measure. %3D %3D d) MZTRS e) M2QSR…

A: We have to find the angle

Q: Determine the method by which the triangles shown are congruent. F.

A: