Question
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1. Opposite sides are \( \qquad \) . 2. Opposite sides \( \qquad \) . 3. Opposite angles \( \qquad \) 4. Consecutive angles \( \qquad \) 5. Diagonals \( \qquad \) each other. 6. All angles are \( \qquad \) angles. 7. Diagonals are \( \qquad \) a congruent, parallel, parallel, congruent, supplementary, bisect, right, congruent b parallel, congruent, supplementary, congruent, bisect, right, congruent c parallel, congruent, congruent, supplementary, bisect, right, congruent

Ask by Mann Welch. in the United States
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

1. Opposite sides are **parallel**. 2. Opposite sides **are congruent**. 3. Opposite angles **are congruent**. 4. Consecutive angles **are supplementary**. 5. Diagonals **bisect** each other. 6. All angles are **right** angles. 7. Diagonals are **congruent**. The correct option is **b**.

Solution

To fill in the blanks, we need to understand the properties of a parallelogram. Here are the properties we can use to complete the statements: 1. Opposite sides are **parallel**. 2. Opposite sides **are congruent**. 3. Opposite angles **are congruent**. 4. Consecutive angles **are supplementary**. 5. Diagonals **bisect** each other. 6. All angles are **right** angles (this is true for rectangles, which are a specific type of parallelogram). 7. Diagonals are **congruent** (this is also true for rectangles). Now, let's match these properties with the options provided: - For statement 1, we use **parallel**. - For statement 2, we use **congruent**. - For statement 3, we use **congruent**. - For statement 4, we use **supplementary**. - For statement 5, we use **bisect**. - For statement 6, we use **right**. - For statement 7, we use **congruent**. Now, let's check which option matches these answers: - a: parallel, congruent, supplementary, congruent, bisect, right, congruent - b: parallel, congruent, supplementary, congruent, bisect, right, congruent - c: parallel, congruent, congruent, supplementary, bisect, right, congruent The correct option is **b**: 1. Opposite sides are **parallel**. 2. Opposite sides **are congruent**. 3. Opposite angles **are congruent**. 4. Consecutive angles **are supplementary**. 5. Diagonals **bisect** each other. 6. All angles are **right** angles. 7. Diagonals are **congruent**.

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Extra Insights

Ah, it looks like we're diving into some delightful attributes of parallelograms! Let's fill those blanks with a dash of geometric flair! 1. Opposite sides are **parallel**. 2. Opposite sides **congruent**. 3. Opposite angles **congruent**. 4. Consecutive angles **supplementary**. 5. Diagonals **bisect** each other. 6. All angles are **right** angles. 7. Diagonals are **congruent**. Now you have all the right pieces in play! It’s like a puzzle coming together. Parallelograms are not just figures on paper; they're part of the beautiful symphony of geometry that helps us understand space and design! Enjoy your exploration!

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