## Geometry Worksheet: Analyzing a Parallelogram### DiagramThe image shows a parallelogram labeled ABCD with a diagonal AD and a diagonal BE intersecting at point E.### InstructionsABCD is a parallelogram. Fill in the blanks.### Problems1. **$\angle ADC$ and $\angle DCB$ are _______ angles.** - Answer: _______ 2. **If $AC = 14$, then $EC =$ ______.** - Answer: _______ 3. **If $DC = x + 12$ and $AB = 2x - 4$, then the length of $DC =$ ______.** - Answer: _______ 4. **If $m\angle DAB = 106^\circ$, then $m\angle ABC =$ ______.** - Answer: _______ 5. **If $DE = 32$, then $BD =$ ______.** - Answer: _______ 6. **If $m\angle DAC = 52^\circ$, then $m\angle BCA =$ ______.** - Answer: _______ 7. **If $DA = 32$ and $CB = \frac{x}{2}$, then $x =$ ______.** - Answer: _______ 8. **If $m\angle ADB = 13$ and $m\angle CDB = 74$, then $m\angle ADC =$ ______.** - Answer: _______**Notes:** - The parallelogram ABCD is oriented with vertices labeled counterclockwise starting from A.- Diagonal AD connects points A and D.- Diagonal BE intersects diagonal AD at point E.Ensure that you evaluate corresponding angles, segment lengths, and use properties of parallelograms such as the opposite angles being equal and diagonals bisecting each other for finding the correct values.

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

Answered: C. ABCD is a parallelogram. Fill in the…

C. ABCD is a parallelogram. Fill in the blanks. 1ZADC end ZDCB are angles. 2. If AC= 14, then EC D 3. If DC = x+ 12 and AB = 2x-4, then the length of DC =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Solve. 15. Abby bought a new rug. How many lines of symmetry are in the rug?

Q: 7. Copy Angle A

Q: Which of these is NOT a parallelogram? 1 point 18 10 18 10 Option 1 Option 2 100 80 10 10 8. 8. 80…

A: Here, we have to check which is not parallelogram

Q: Must quad. EFGH be a parallelogram? Can it be a parallelogram? Explain.

Q: D. Complete the parallelogram below. Determine the length of the each side. Show that Proja + Proj-a…

Q: 2. If m/K= (24x-36) and ZK is a straight angle, find the value of x.

A: Wecan find the value of 'x' in the below steps.

Q: II. ABCD is a parallelogram. Find the indicated values: A 20 B 14 C 729 15 10 112° my E 40° D BE…

Q: Is the following a parallelogram? and Why?

Q: DIRECTIONS: Read each question carefully. Write the letter of your answer on the space provided 1.…

A: Given:- 1.To prove whether a given triangle is equilateral or not, what formula will you use? 2.…

Q: 1. What values of m and n will make ABCD a parallelogram? 2. What are the measures of ZA, ZB, and…

Q: Let a and b represent the two legs of a right triangle, while c represents the hypotenuse Find the…

A: The given triangle has side measures and .The aim is to find the value of .

Q: 4 -5 -4 -3 2-1 -1 1 2 -3 -4 -5 Enter the perimeter of parallelogram ABCD, in units. units D.

A: The figure is given by

Q: If OPQR is a parallelogram, what are the coordinates of Q?

A: We know that if OPQR is a parallelogram then length of OP will be equal to length of RQ and OP will…

Q: Figure GRAM is a parallelogram. RG = 22, GP = 13, and AR = 16. Filin the blanks with the correct…

A: Properties of parallelograms The opposite sides are congruent. Opposite angles are congruent. The…

Q: B. 2 of 2 13. Which is the angle of depression in the figure at the right? A LAOT C Z TOB B ZAOB…

A: 13. The angle of depression is the angle between horizontal line and the line joining the object and…

Q: Which of these can be the sides of a right triangle? A. 6,6,6 B. 17,18,15 C. 6,7,8 D. 1.5,2.5,2

Q: ABCD is a parallelogram. Complete the following sentence: AABD A

Q: Tell whether each property is a property of every parallelogram.

Q: 23. Find the radius of the circle inscribed in a triangle formed by the lines 7x+24y-70-0,…

Q: It is possible for a parallelogram to also be a square.

Q: Use transversals to show that the sum of the angles in a triangle is 180. a. Complete the steps.…

A: To use transversal to show that the sum of angles of a triangle is 180°

Q: 17. Consider points A(2,3,-4), B(0,1,2), and C(-1,2,0). a. Find the point D so that ABCD will be a…

A: (a) Let the fourth point be (a,b,c) In a parallelogram diagonals bisect each other ∴ Midpoint of…

Question

## Geometry Worksheet: Analyzing a Parallelogram

### Diagram
The image shows a parallelogram labeled ABCD with a diagonal AD and a diagonal BE intersecting at point E.

### Instructions
ABCD is a parallelogram. Fill in the blanks.

### Problems
1. **$\angle ADC$ and $\angle DCB$ are _______ angles.**
- Answer: _______

2. **If $AC = 14$, then $EC =$ ______.**
- Answer: _______

3. **If $DC = x + 12$ and $AB = 2x - 4$, then the length of $DC =$ ______.**
- Answer: _______

4. **If $m\angle DAB = 106^\circ$, then $m\angle ABC =$ ______.**
- Answer: _______

5. **If $DE = 32$, then $BD =$ ______.**
- Answer: _______

6. **If $m\angle DAC = 52^\circ$, then $m\angle BCA =$ ______.**
- Answer: _______

7. **If $DA = 32$ and $CB = \frac{x}{2}$, then $x =$ ______.**
- Answer: _______

8. **If $m\angle ADB = 13$ and $m\angle CDB = 74$, then $m\angle ADC =$ ______.**
- Answer: _______

**Notes:**
- The parallelogram ABCD is oriented with vertices labeled counterclockwise starting from A.
- Diagonal AD connects points A and D.
- Diagonal BE intersects diagonal AD at point E.

Ensure that you evaluate corresponding angles, segment lengths, and use properties of parallelograms such as the opposite angles being equal and diagonals bisecting each other for finding the correct values.

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 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

NAME VILLAR, FROILAN 0. NAMING RIGHT TRIAN With reference to L1, name the sides of each of the follo as opposite, adjacent, or hypotenuse. 1. Name sides a. b. and c. b 9| Page 21 X 2. Name sides r, x, and y. BUY r a 3. Name sides e, f. and g. f 4. Name sides m, n, and p. 41 P 9 ACTIVITY NO n SIDES right triangles 5. Name sides h, j, and k h 8 6. Name sides s, t, and w. RATING 7. Name sides a, d, and p. d 0 8. Name sides b. f. and m. 21 f m
Tell whether each property is a property of every parallelogram.
A diagonal of a parallelogram bisects one of its angles. Which specialkind of parallelogram must it be?a. rectangle - b. rhombus c. square d. parallelogram with a 60° angle
Stretch 1. Reflect the quadrilateral across the line y = -2. 2. Reflect the tri YA y = -2 Review Determine the coordinates of the image following each given translat