LESSON Triangle Proportionality Theorem 12-1 Practice and Problem Solving: Modified For Problems 1-3, fill in the blanks to complete each sentence. The first one is done for you. parallel intersects the other two sides, then it divides those sides proportionally. to a side of a triangle and 1. Ifa line is 2. The statement in Problem 1 is called the_ Theorem. 3. Ifa line divides two sides of a triangle proportionally, then it is parallel to the For Problems 4-7, answer the questions to find the length x. The first one is done for you. 4. What does the diagram tell you about RQ and LM? They are parallel lines. 5. What is the ratio of MS to QM? 6. Write a proportion to solve for x. 7. Solve the proportion. What is the value of x?, Complete Problems 8-10 to determine whether HI | XY. The first one is done for you. JX 18 24 Y 20 8. Find the ratio. XH 15 JY 9. Find the ratio. XI 10. If the ratios in Problems 9 and 10 are equal, then sides HJ and J are divided proportionally. If the sides are proportional, then Hi is parallel to XY. Is Hi is parallel to XY? If so, what reason can you give?

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.