7.1 - 7.3 Review - Geometry

7.1 - 7.3 Review - Geometry

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula to find the coordinates of the centroid of a triangle given its vertices (x1, y1), (x2, y2), (x3, y3)?

Back

The coordinates of the centroid (G) are given by G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).

2.

FLASHCARD QUESTION

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.

3.

FLASHCARD QUESTION

Front

If the lengths of two segments are in a ratio of 3:4, and the longer segment is 24, what is the length of the shorter segment?

Back

The length of the shorter segment is 18.

4.

FLASHCARD QUESTION

Front

What is the relationship between the lengths of segments in a triangle?

Back

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

5.

FLASHCARD QUESTION

Front

If AB = 3x - 8 and DE = 4x + 10, how do you find the value of x when AB = DE?

Back

Set 3x - 8 = 4x + 10 and solve for x.

6.

FLASHCARD QUESTION

Front

What is a midpoint in geometry?

Back

A midpoint is a point that divides a line segment into two equal parts.

7.

FLASHCARD QUESTION

Front

How do you find the length of a segment if you know the coordinates of its endpoints (x1, y1) and (x2, y2)?

Back

Use the distance formula: Length = √((x2 - x1)² + (y2 - y1)²).

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