When the perimeter of an equilateral triangle is doubled , the result is 24. The length of a side of the original triangle is A) 4 B) 6 C) 8 D) 12

Q: 10. Find the area and perimeter of the quadrilateral below. 10 in 16 in Perimeter %3D inArea %D in?

A: The given quadrilateral has all 4 sides equal whose lengths are: 10 inches. Length of one diagonal…

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

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: 7. Name the postulate, if possible, that makes the triangles congruent. B D

A:

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

A:

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

A: Here given graph as

Q: If there measure of an exterior angle of a regular polygon is 24, how many sides does the polygon…

A: Sum of all interior angles of polygon is (n-2)180°  here n= number of sides

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: a) Is it really necessary to construct all three bisectors of the angles of a triangle to locate its…

A: Given: a)  Is it really necessary to construct all three bisectors of the angles of a triangle to…

Q: In the diagram of AABC below, DE || AB. C A If CD = 4, CA = 10, CE = x + 2, and EB = 4x- 7, %3D %3D…

A: We have given DE||AB in ∆ABC Then, By the triangle proportionality theorem: If a line parallel to…

Q: Are quadrilaterals ABCD and EFGH congruent if: a) AB = EF, LB = LF, BC = FG, and LC = ZG? b) ZA =…

A: To check the quadrilaterals are congruent.

Q: 10. In isosceles AABC shown below, AC is congruent to BC as shown. Side AC has been extended through…

A:

Q: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: What is the measure of one interior angle of a regular 12-gon?

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: Give the most specific name to this shape based on the evidence given in the diagram Square…

A:

Q: 2. Given that ST bisects zs, which must you use to determine that the triangles below are congruent?…

A:

Q: 2. Draw AABC so that ZA has a measurement of 60°, ZB has a measurement of 60°, and AB has a length…

A: △ABC has measurements ∠A=60°, ∠B=60° and length of AB=8cm

Q: Does a version of SSS congruence apply to quadrilaterals? Complete the example to support your…

A: Solution:- SSS congruence does not apply to Quadrilaterals. That is, if three sides of one…

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: The sides of the polygon ABCD are congruent, respectively, to the sides of a polygon . Are the…

A:

Q: A quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

A:

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: What is the measure of one interior angle of a regular 20-gon?

A:

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

A:

Q: Consider the quadrilateral below. Which reason validates the statement: "The diagonals of a…

A: The solution is :

Q: Classify the following quadrilateral as shown below. O Square O Rhombus O Rectangle O Parallelogram…

A: A rhombus is a diamond shaped quadrilateral that has all four side equal

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: Consider Quadrilateral ABCD inscribed in circle E. If m∠A = 120°, what is the m∠C

A:

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: Are the given triangles congruent by the HL Theorem? Explain. A

A: Given: Two triangles ∆ABD and ∆BCD are given with AB=BC. Also both angles ∠A and ∠B=90°. The…

Q: A kite is a quadrilateral with two pairs of adjacent congruent sides. O True O False

A:

Q: Are the triangles congruent by the HL Theorem? A

A:

Q: prove that if one side of a triangle is a common measure of the other two sides then the triangle is…

A:

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

Q: A regular octagon can be divided into 8 congruent isosceles triangles, one for each of its sides. O…

A: .              A Regular Octagon

Q: Is there an analog to the SSS triangle congruence theorem for quadrilaterals?

A: To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Q: If a regular polygon has 40 sides, the measure of each interior angle is____?

A: Given that a regular polygon has 40 sides. We know that the sum of all exterior angles of a regular…

Q: The lengths of two sides of a triangle are 5 in. and 17 in. Which is a possible length for the third…

A:

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: In the accompanying diagram, quadrilateral ABCD is inscribed in circle O. mAB=132°, m

A: Given:

Q: The perimeter of AABC is Type an exact answer, using

A:

Q: తేంతం 1) Explain why the triangles are congruent. IF

A: By ASA rule of congruence  of triangle

Q: What kind of prism has three sides for either of its two congruent bases? square prism O rhomboidal…

A: We discuss the definition of these different types of prism one by one.

Q: A kite can be thought of as two isosceles triangles because of its two pairs of congruent adjacent…

A:

Q: Which fact about the angles formed by parallel lines is used in the proof that the diagonal of a…

A:

Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

A:

Q: Based on the diagram and congruent marks, what would be the best description of Point D?

A: The three angle bisectors of the angles of a triangle are meeting at a point.