Similar Shapes, Triangles, Transversals STAAR Questions

Figure I and Figure II are similar figures. Which proportion must be true?

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CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Figure I and Figure II are similar quadrilaterals. Which proportion must be true?

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CCSS.7.RP.A.2

CCSS.7.RP.A.3

Figure ABCDE is similar to figure VWXYZ. Which proportion must be true?

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CCSS.7.RP.A.2

CCSS.7.RP.A.3

In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?

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Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Figure I and Figure II are similar pentagons. Which proportion must be true?

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Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true?

• x = 160, because 180 - (130+30) = 20 and 180 - 20 = 160

• x = 20, because 130 + 30 = 160 and 180 - 160 = 20

• x = 80, because 180 - 130 = 50 and 50 + 30 = 80

• x = 340, because 130 + 30 = 160 and 160 + 180 = 340

Tags

CCSS.7.G.B.5

Four triangles are shown. Based on these triangles, which statement is true?

• w = 75, because 45 + 60 = 105 and 180 - 105 = 75

• w = 105, because 180 - (45+60) = 75 and 180 - 75 = 105

• x = 285, because 45 + 60 = 105 and 105 + 180 = 285

• x = 165, because 180 - 60 = 120 and 120 + 45 = 165

Tags

CCSS.7.EE.B.4

CCSS.7.G.B.5

In each diagram, line k is parallel to line l, and line t intersects line k and l. Based on the diagrams, which statement is true?

• The value of x is 79, because the two angles shown in each diagram are congruent.

• The value of x is 101, because the two angles shown in each diagram are supplementary.

• The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles.

• The value of x is 11, because the two angles shown in each diagram are complementary.

Tags

CCSS.7.G.B.5

In each diagram, line p is parallel to line f, and line t intersects line p and f. Based on these diagrams, which statement is true?

• The value of x should be 75, because the angles shown in the diagrams are congruent.

• The value of x should be 105, because the angles shown in the diagrams add up to 180.

• The value of x should be 140, because the measure of the angles shown in the diagrams should add up to 360 and 360 - (110+110) = 140

• The value of x should be 70, because the angles shown in the diagrams are both 70.

Tags

CCSS.7.G.B.5

Parallelogram PQRS is similar to parallelogram WXYZ.

What is the length of line segment YZ?

• 3 units

• 11.6 units

• 5 units

• 4.2 units

Tags

CCSS.7.G.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3