Side Splitter Theorem Worksheet

The side splitter theorem states that if a line is parallel to one side of a triangle and intersects the other two sides it divides both sides proportionally. See the below figure.

Triangle Proportionality Theorem Side Splitter Theorem Angle Bisector Theorem Geometry

Cy m29051 q0x mkiu qtoa c 2smoef9t fwra brbe 8 plgl9cq2 5 zaulclk or qi3gxhft ase orte zsveerqvke kdi.

Side splitter theorem worksheet. Skill 1 splitter theorem date block side splitter theorem triangle proportionality theorem if a line is parallel to one side of a triangle and intersects the other two sides then it divides the two sides proportionally. This theorem states that if a line is parallel to a side of a triangle and it intersects the other two sides it divides those sides proportionally. Some of the worksheets displayed are name date hw work attached day 5 the three theorems side splitter theorem 1a a proof of the side splitter theorem name common core geometry module 2 part ii name geometry unit 3 note packet similar triangles project amp antonio quesada director project amp warm up.

Mathbitsnotebook geometry ccss lessons and practice is a free site for students and teachers studying high school level geometry under the common core state standards. Showing top 8 worksheets in the category side splitter theorem. We call line segment a side splitter.

Form a proportion using the side lengths solve the proportion for x. The side splitter theorem states that if a line is parallel to a side of a triangle and intersect the other two sides then this line divides those two sides proportionally. 4x 27 4x 14 x 35 answer side splitter theorem.

Similar triangles and proportions start lesson 2 homework worksheet 1212 4 5 lesson 2. Name common core geometry module 2 part ii setting up proportions with similar triangles and simplifying radicals date page topic homework 1211 2 3 lesson 1. Math worksheets videos worksheets games and activities to help geometry students learn about the side splitter theorem.

What is the side splitter theorem. The side splitter theorem side splitter. Applying the triangle side splitter theorem.

If a line is parallel to a side of a triangle and intersects the other two sides then this line divides those two sides proportionally. F 1 pm ta sd dek mwjict1h7 si 6ngfni3nai1t zei zg 7e oonmye0t kr1ygs worksheet by kuta software llc. A line segment is said to split the sides of proportionally if c is a point on d is a point on and or equivalently.

Find x x corollary to the side splitter. The side splitter theorem is a natural extension of similarity ratio and it happens any time that a pair of parallel lines intersect a triangle. Apply the side splitter theorem.

You can solve certain similar triangle problems using the side splitter theorem. Check out the following problem which shows this theorem in action.