Grade 8 | Unit 2 | Lesson 8: Similar Triangles | Practice Problems

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know. Triangle A: 53, 71, ___; Triangle B: 53, 71, ___.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know. Triangle C: 90, 37, ___; Triangle D: 90, 53, ___.

Tags

CCSS.HSG.SRT.A.2

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know. Triangle E: 63, 45, ____; Triangle F: 14, 71, ____.

Tags

CCSS.HSG.SRT.A.2

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know. Triangle G: 121, ___, ___; Triangle H: 70, ___, ___.

Tags

CCSS.HSG.SRT.A.2

Draw two equilateral triangles that are not congruent. Measure the side lengths and angles of your triangles. Are the two triangles similar? Do you think two equilateral triangles will be similar always, sometimes, or never? Explain your reasoning.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In the figure, line \(BC\) is parallel to line \(DE\). Explain why \(\triangle ABC\) is similar to \(\triangle ADE\).

Tags

CCSS.HSG.SRT.A.2

The quadrilateral \(PQRS\) in the diagram is a parallelogram. Let \(P’Q’R’S’\) be the image of \(PQRS\) after applying a dilation centered at a point O (not shown) with scale factor 3. Which of the following is true?

• \(P’Q’= PQ\)

• \(P’Q’=3PQ\)

• \(PQ=3P’Q’\)

• Cannot be determined from the information given

Tags

CCSS.8.G.A.3

Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q. Description:

Two quadrilaterals in an xy plane. Origin at 0. Vertical axis from -5 to 6 by 1s. Horizontal axis from -2 to 12 by 1s. Quadrilateral, labeled P, has points at 3,3; 6,6; 4,1; and 4,4. Quadrilateral, labeled Q, has points at 7,-4; 12,-6; 10,-3; 10,-4.

Tags

CCSS.8.G.A.3