Illustrative Mathematics - Geometry - Unit 3 - Lesson 16

Last updated 11 months ago

16 questions

Illustrative Mathematics - Geometry - Unit 3 - Lesson 16

Last updated 11 months ago

16 questions

You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
How can you check to see if your bank shot works?

Mai is playing a game with a class of second graders. Mai knows she is exactly 120 inches from the mirror on the floor. She has students stand so that she can just see the top of their heads and then guesses their heights. The students are amazed!
How is Mai so accurate? What is the height, h, of the student?

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.
What is the length of side BD?

In right triangle ABC, angle C is a right angle, AB=17, and BC=15. What is the length of AC?

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We also know AD=4 and DB=16. What is the length of AC?

Match each vocabulary term with its definition.

Draggable item		Corresponding Item
Dilation		There is a sequence of rigid motions and dilations that takes the first figure onto the second.
Scale Factor		When 2 angles of one triangle are congruent to 2 angles of a second triangle, the 2 triangles will be similar.
Similar Figures		A transformation using a center C and scale factor k that takes a point A to another point along the ray CA whose distance is k times farther from C than A is.
Scale Drawing		A drawing in which all lengths in the drawing correspond to lengths in the object by the same scale.
Angle-Angle Similarity Theorem		A constant multiple by which all lengths of the original figure are multiplied.

Clare and Diego are discussing the quadrilaterals. Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar.
Do you agree with either of them? Explain your reasoning.

This lesson is from Illustrative Mathematics. Geometry, Unit 3, Lesson 16. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/3/16/index.html ; accessed 29/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Illustrative Mathematics - Geometry - Unit 3 - Lesson 16

Illustrative Mathematics - Geometry - Unit 3 - Lesson 16

You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.How can you check to see if your bank shot works?

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD​​​​​. What is the length of side BD?

In right triangle ABC, angle C is a right angle, AB=17, and BC=15. What is the length of AC?

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We also know AD=4 and DB=16. What is the length of AC?

Match each vocabulary term with its definition.

Clare and Diego are discussing the quadrilaterals. Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar. Do you agree with either of them? Explain your reasoning.

You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.How can you check to see if your bank shot works?

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD​​​​​. What is the length of side BD?

In right triangle ABC, angle C is a right angle, AB=17, and BC=15. What is the length of AC?

In right triangle ABC, altitude CD with length h is drawn to its hypotenuse. We also know AD=4 and DB=16. What is the length of AC?

Match each vocabulary term with its definition.

Clare and Diego are discussing the quadrilaterals. Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar. Do you agree with either of them? Explain your reasoning.

You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
How can you check to see if your bank shot works?

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.
What is the length of side BD?

Clare and Diego are discussing the quadrilaterals. Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar.
Do you agree with either of them? Explain your reasoning.

You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
How can you check to see if your bank shot works?

In the right triangles shown, the measure of angle ABC is the same as the measure of angle EBD.
What is the length of side BD?

Clare and Diego are discussing the quadrilaterals. Clare thinks the quadrilaterals are similar because the side lengths are proportional. Diego thinks they need more information to know for sure if they are similar.
Do you agree with either of them? Explain your reasoning.