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Back to Tutor Intake Assessment: Draw geometric shapes with given conditions

7.G.A.2 Tutor Intake -- Triangle Conditions and Uniqueness

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

Grade 7·7 problems·~9 min·Common Core Math - Grade 7·standard·7-g-a-2
Work through problems with immediate feedback
A

Concepts

1

Two students each construct a triangle with sides 5 cm, 7 cm, and
9 cm. Student A's triangle looks like a mirror image of Student
B's triangle when placed side by side. What can you conclude?

2

You are given three angle measures: 35 degrees, 65 degrees, and
80 degrees (they sum to 180 degrees). How many DIFFERENT
(non-congruent) triangles can be constructed with exactly these
three angles?

B

Procedures

1

A triangle has two sides of length 4 cm and 6 cm. What is the
largest whole-number length the third side could be, so that a
triangle is still possible? Enter a number.

2

A triangle has sides AB = 6 cm and AC = 4 cm. To use the SAS
condition with the angle between these two sides, at which
vertex should the given angle be located?

3

A triangle is constructed with ASA conditions: one angle measures
40 degrees, the included side is 5 cm, and the other given angle
measures 65 degrees. What is the measure of the third angle, in
degrees? Enter a number.

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