B Y AABC has been translated right to create triangle AXYZ. Based on this information, which of the following is a true statement? A) LA =

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: Give the most specific name to this shape based on the evidence given in the diagram AC = BD E A O…

A:

Q: Given: AABC is an isosceles triangle with vertex angle, ZB. ZA ZE ZBCALDCE BC DC Prove: C is the…

A:

Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

A:

Q: Every lateral face in a prism is a triangle. O True O False

A: A prism is a 3-D shape with flat sides, it has 2 ends which are of same size and shape.

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint of AT, and G is the…

A: Geometry

Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1.…

A: Given:  To identify all the 6 triangles in the given figure.

Q: In circle C, point D is a point of tangency between tangent AD and radius CD. (a) What is the length…

A: Proceed as shown...

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: If a quadrilateral has EXACTLY 3 congruent sides and the 4th side is parallel to one of the other…

A:

Q: 15. Based on the markings shown in the following figures, are The triangles congruent? оое Yes No…

A: We are given with two triangles such that one side of each triangle is equal to another side of the…

Q: What is the sum of the exterior angle measures, one at each vertex, of a convex 17-gon?

A: The given polygon is convex 17-gon

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: Consider the right triangle shown, in which the two sides have length 1. (a) Using the Pythagorean…

A: Pythagorean Theorem states that, in a right triangle the square of hypotenuse  of the triangle will…

Q: Note: Exercises preceded by an asterisk are of a more challenging nature For Exercises 1 to 10, use…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: In the sketch O is the centre of the circle and Prove that C =D. %3D C and D are angles in segment…

A:

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

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

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

A:

Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

A:

Q: Based on the image below, which theorem/postulate would prove triangle a RST and RUT congruent by…

A: Here , RT is perpendicular bisector of SU .

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: 12. DE is a segment bisector. If AB = 13 cm, what is the length of BC? %3D 13 C A B.

A: Segment bisector divide the segment into two equal half.

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

A:

Q: Which quadrilaterals MUST be parallelograms? Use the markings provided as evidence. Select yes or…

A: Given

Q: The circumcenter of AHJK is point P. Point A lies on HJ and AP 1 HJ. If AP = 7 in. and KP = 23.6…

A: PA | HI, PK = 23.6 in, AP = 7 in P IS CIRCUMFRANCE

Q: The figure shows quadrilateral RSUV with RV || SU and congruent segments as marked. R

A: To Prove: The side RU bisect SV. Concept used: ASA congruency: If two angles and the included side…

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: Given: CE bisects ZBCD. LA is a right angle. MZBCE = 45 Prove: ZA = ZBCD

A: It is given that →CEbisect LBCD . LA=90 degree LBCE=45 degree Now we have to prove…

Q: Given that RSTVQ is a regular pentagon and APQR is equilateral in the figure shown, determine a) the…

A:

Q: In equilateral A DEF, a segment is drawn from point F to point G, the midpoint of DE. Which of the…

A: In equilateral triangle DEF, a segment is drawn from point F to point G, the midpoint of DE. The…

Q: a. If the congruent trapezoids shown are slid together, what special quadrilateral is formed? b. Use…

A: (a) Consider the given figure:   Here, CD=EF=b1AB=GH=b2Height=h……1   Also, AB∥CDEF∥GH……2

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

A:

Q: Dctermine the number of triangles fonmed given condition.c. a= 7 C= LA = 57° %3D

A:

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: In Exercises 15 to 18, describe the triangle (AXYZ, not shown) as scalene, isosceles, or…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: In the figure shown, MN PQ is a rhombus. The length of MP is 10 cm and the length of NQ is 24 cm.…

A:

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

A:

Q: P V R Q

A:

Q: With the circle inscribed in triangle RST, it follows that RM = RP, SP = SN, and TM = TN. True or…

A: According to two tangent theorm The two tangent theorem states that if we draw two lines from the…

Q: Given: E is the midpoint of AB and CD Prove: Triangle AEC is congruent to Triangle BED

A: from the above fingure,∠C≅∠D   and ∠A=∠B=90°   —Here, CA⊥AB and DB⊥AB   —CE=EDAs CD is…

Q: In the figure, quadrilateral ABCD is inscribed in O0. Also, CF 1 BD. a) Explain why AABE ~ ADFC. b)…

A: According to AA property of similarity, if two corresponding angles are congruent in two triangles,…

Q: The four isosceles triangles are not drawn to scale. 17 cm VA 70 70° 40 17 cm 17 cm 70 17 cm Which…

A: Congruent triangles: Two triangles will be congruent if they will have exactly the same three sides…

Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given:  AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

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: a. ASA A D 十 B b. AAS E F B c. SSS F d. SAS %3 %23

A: (a) Given two triangles is:

Q: 5. If QR = 13 and PT = 8, find QT. %3D %3D P R

A:

Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following