Illustrative Mathematics - Geometry - Unit 3 - Lesson 14 - Formative Library | Library

The Triangle is a Right Triangle

The Triangle is not a Right Triangle

The Triangle is a Right Triangle

The Triangle is not a Right Triangle

The Triangle is a Right Triangle

The Triangle is not a Right Triangle

The Triangle is a Right Triangle

The Triangle is not a Right Triangle

Andre says he can find the length of the third side of triangle ABC and it is 5 units. Mai disagrees and thinks that the side length is unknown. 
Do you agree with either of them? Show or explain your reasoning.

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In right triangle ABC, altitude CD is drawn to its hypotenuse. Find 2 triangles which must be similar to triangle ABC.

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In right triangle ABC, altitude CD with length 6 is drawn to its hypotenuse. We also know AD=12. What is the length of DB?

\frac{1}{2}

3

4

6

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10.

Lines BC and DE are both vertical. What is the length of BD?

4.5

5

6

7.5

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11.

12.

13.

14.

Quadrilaterals Q and P are similar.

What is the scale factor of the dilation that takes Q to P?

\frac{2}{5}

\frac{3}{5}

\frac{4}{5}

\frac{5}{4}

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15.

Priya is trying to determine if triangle ADC is congruent to triangle CBA. She knows that segments AB and DC are congruent She also knows that angles DCA and BAC are congruent.
 Does she have enough information to determine that the triangles are congruent? Explain your reasoning.

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This lesson is from Illustrative Mathematics. Geometry, Unit 3, Lesson 14. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/3/14/index.html ; accessed 29/July/2021.

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