9. In the diagram below, the vertices of ADEF are the midpoints of the sides equilateral triangle ABC, and the perimeter of AABC is 36 cm. What is the length, in centimeters, of EF? 9. 1) 6 2) 12 3) 18 4) 4 120

9. In the diagram below, the vertices of ADEF are the midpoints of the sides equilateral triangle ABC, and the perimeter of AABC is 36 cm. What is the length, in centimeters, of EF? 9. 1) 6 2) 12 3) 18 4) 4 120

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 8E: a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its...

See similar textbooks

Related questions

Q: 2. In the diagram, which construction is being demonstrated? A B A. The first marks for constructing…

Q: 6. If two polygons are SIMILAR, then the corresponding angles must be (A) supplementary (B]…

A: if two polygons are similar then their corresponding sides are in the same ratio and the…

Q: What triangles are congruent in the diagram below? BX - ΔΕBD ΔΑBC ΔΕBD AAEB = A CBD AABE = A CBD D.…

A: Solved below

Q: 498.20 m 835.15 m 96'45 2 50 10' 902.08 m D Dividing Line 512.35 m

A: Given that, Find the area of ABD and the area of BCD.

Q: 15 If the quadrilateral is a parallelogram, find the missing measures. C CF = 10 FE = CE = F E *FD =…

A: We have given following values i.e. CD= 15 CG= 7 DE= 10 FD= 22 If Quadralaterial CDEF behaves as…

Q: Find the sum of the measures of the interior angles of a poly- gon of n sides if: а) п %3D 5 b) п…

A: a). n=5 Now the sum of interior angles is, n-2·180°=5-2·180°=540°

Q: A triangle has circumcenter with sides 170.4 m, 198.8 m, and 227.2 m. Determine the distance from…

Q: A (5х + 7) ст - (4у — 18)° (бх — 1) ст (Зу + 2)° В (4y)° (бх + 2) ст

Q: Are the polygons similar? If they are, choose the correct similarity statement and scale factor. V.…

A: given

Q: Which rule explains why these triangles are congruent? K H. G ASA SSS AAS

Q: Consider the two rows of points on the grid below. (a) Count the number of quadrilaterals that can…

Q: 5. If two polygons are SIMILAR, then the corresponding sides must be [A] proportional [B] similar…

A: A option is correct. ProportionalThere are two conditions (tests) for two polygons to be similar:…

Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal. (i) Diagonals bisect each other at right…

Q: The sides of a bigger polygon are 4 m, 6 m, 7 m, 13 m, and 18 m. A similar smaller polygon has a…

A: Ratio of the perimeter is tha same as the scalar factor.

Q: 25. The frustum of a regular triangular pyramid has quadrilateral triangles for its bases and has an…

Q: . In AABC, m<C = 48°, m<B = 58°, and m<A = 74°, what is the shortest side of triangle ABC? %3D %3D

Q: 3. Given: Quadrilateral LIKE is a kite with LI = IK and LE = KE. a. LE is twice LI. If its perimeter…

A: Given- Quadrilateral LIKE is a kite with LI≅IK and LE≅KE. To Find- (a) The side LE, if LE is twice…

Q: A, B and C are the midpoints of the sides of triangle GHJ. AB = 3.4, BC = 4.2, and AC = 3.8. Find…

A: Given: Since A,B and C are the midpoints of the sides of triangle GHJ.And AB=3.4, BC=4.2,…

Q: If the quadrilateral below is a trapezoid, find the missing measures. (8x – 16) M 7 (61 + 20)° angle…

Q: 2. A semicircle will be drawn with the unknown side of a triangular lot as its diameter. Calculate…

A: Perimeter of the above image = ?

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: In A ABC, mzA 100°, m B = 30°, and mz C = 50°. Which lists the sides from largest to smallest? %3D

Q: In the figure, the 15-mile road from A to C is under construction. A detour from A to B of 5 miles…

A: The length of road is represented by AC. The length of detour is represented by AB+BC.

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

Q: 7. In parallelogram ABCD below, AC is a diagonal, the measure of ZABC is 40°, and the measure of…

A: Given : ABCD is a parallelogram m∠ACD = 57°m∠B = 40°

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

A: The given diagram: Based on the congruent marks, AD=DB BE=EC AF=FC In this triangle,…

Q: 19. Can three sticks of lengths 5 ft, 9 ft and 12 ft be arranged to make a triangle A Yes because…

Q: 2. What is the perimeter of a 30°- 60°- 90° Right Triangle, whose shorter leg is 7 inches long?…

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

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: Quadrilateral CDEF is an isosceles trapezoid, CE = 2u + 4, and DF = u + 61. What is the value of u?

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: B, D and F are points of tangency. AF = 11, FE = 15, and DC = 16. What is the perimeter of triangle…

A: We will use the fact that tangents drawn from a point to a circle are of equal length. Also the…

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

Q: 20. If the equilateral triangles shown have sides of 2 cm and 3 cm respectively, then the perimeter…

A: The perimeter is the length of the outline of a shape.

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.…

Q: If the area of the rectangle in the figure below is 18 and the perimeter of each of the four…

Q: 16. Suppose that ABCD is a quadrilateral inscribed in a circle and that AC is a diameter of the…

A: We have to find measure of the angles.

Q: A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the…

A: Given: The trapezoid MNPQ given by

Q: given the regular decagon (10 sided polygon) pictured below, which statements are true?

A: We have to find the symmetry.

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

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: In Exercises 23 and 24, find the perimeter of the triangle. 23. 24. (21 - x) in. 7 in, (x+4) in. (2x…

A: We have to find the perimeter of the given triangles. Perimeter- The perimeter of a triangle means…

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: Given AABC and AMLN in the diagram below and ZB = ZL,determine if the triangles are similar. If so,…

Q: Suppose ABCDE and FGHIJ are similar pentagons and AB/FG = 5.5. Suppose the perimeter of FGHIJ is 22…

A: If two polygons are similar, then the ratio of the perimeter of the two polygons is same as the…

Q: A diagonal of a regular polygon is a line segment that connects two non-adjacent vertices. How many…

A: Different types of polygons are triangle ,square , pentagon , hexagon etc. Triangle and square are…

Q: In A ABC, mZA = 60° and mZDBC = 31°. BD bisects ZABC.Which side of A ABC is the longest? (Note: .***…

Q: Given a cyclic quadrilateral whose sides are 4 cm, 5 cm, 8 cm, and 11 cm, its area is?

Question

9. In the diagram below, the vertices of ADEF are the midpoints of the sides
equilateral triangle ABC, and the perimeter of AABC is 36 cm.
What is the length, in centimeters, of EF?
9..
1) 6
2) 12
3) 18
4) 4
120
12
10. The diagram below shows the construction of the center of the cirle
circumscribed
intersecti
1)
2)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter? b Is it really necessary to construct all three perpendicular bisectors of the sides of a triangle to locate its circumcenter?
Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the planes containing EJF and KJF is larger than 180 .
Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude regarding pentagon ABCDE and pentagon MNPQR?
For rectangle MNPQ, points A, B, C and D are the midpoints of the sides. aWhat type of quadrilateral not shown is ABCD? bAre the inscribed circle for ABCD and the circumscribed circle for MNPQ concentric circles?
a Are any two regular pentagons similar? b Are any two equiangular pentagons similar?
When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus? Exercise 46
A satellite dish in the shape of a regular dodecagon 12 sides is nearly circular. Find: a mAB b mABC c mABC inscribed angle
In Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a triangle similar to the given triangle but with sides that are twice the length of those of the given triangle. Theorem: If the lengths of the three pairs of sides for two triangles are in proportion, then those triangles are similar SSS.
Consider the triangular prism shown in Exercise 2. a How many vertices does it have? b How many edges lateral edges plus base edges does it have? c How many faces lateral face plus bases does it have?
a Does the similarity relationship have a reflexive property for triangles and polygons in general? b Is there a symmetric property for the similarity of triangles and polygons? c Is there a transitive property for the similarity of triangles and polygons?