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9.2 special right triangles

Quiz

•

Mathematics

•

10th Grade

•

Medium

•

CCSS

8.G.B.8, HSG.SRT.C.8, HSG.CO.C.10

Standards-aligned

Kevin Cruess

Used 1K+ times

FREE Resource

About this resource

Get to know the world of special right triangles with this engaging Quizizz quiz, crafted by Kevin Cruess for 10th-grade math enthusiasts. This interactive assessment, featuring 20 medium-difficulty multiple-choice questions, challenges students to master the properties of 45-45-90 and 30-60-90 triangles. Students will explore the relationships between the sides, using specific ratios to find missing lengths, all while visualizing problems through helpful diagrams. With time limits ranging from 30 seconds to 1 minute per question, this quiz is designed to sharpen students' skills and boost their confidence in geometry, aligning with K–12 curriculum standards. Understanding the intricacies of 45-45-90 and 30-60-90 triangles is crucial for students, as these concepts form the foundation for advanced trigonometry. In a 45-45-90 triangle, students learn that the legs are equal, and the hypotenuse is a leg multiplied by √2. For 30-60-90 triangles, the hypotenuse is twice the shorter leg, and the longer leg is the shorter leg multiplied by √3. Mastery of these relationships not only aids in solving real-world problems but also enhances performance in future courses like pre-calculus and calculus. Recognizing when to apply these properties versus the Pythagorean theorem is a key skill for any budding mathematician. Encourage students to regularly practice these special right triangle relationships to ensure long-term retention. Teachers can incorporate these concepts into hands-on activities and real-world applications, making learning both fun and relevant. Quizizz offers an exciting, game-based approach that motivates students through friendly competition and immediate feedback, while allowing teachers to track progress and tailor instruction to diverse learning needs. Explore Quizizz's ready-made resources to support your geometry curriculum and empower your students to excel in mathematics with confidence and enthusiasm.

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

Multiply that leg by 2

Use the same length for the second leg

Multiply that leg by √2

Divide that leg by √2

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the length of y in this picture?

5√2

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

It is the same length as the given leg.

Multiply that leg's length by √2.

Multiply that leg's length by 2.

Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the length of x in this 45-45-90 triangle?

4√2

4√3

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the length of y in this 45-45-90 triangle?

8√2

4√2

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which side is the long leg in this 30-60-90 triangle?

Tags

CCSS.HSG.CO.C.10

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which side is the short leg of this 30-60-90 triangle?

Tags

CCSS.HSG.CO.C.10

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