Topics
6. Polygons
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United States of AmericaVirginia
Grade 7

6.03 Find unknown measures in similar figures

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Triangles $ABC$ABC and $DEF$DEF are similar.

There are two triangles. The first triangle has angle A measures 41 degrees, angle B measures 78 degrees and angle C measures 61 degrees. The second triangle has angle D measures 41 degrees, angle E measures 78 degrees and angle F is unknown.

Find the measure of the missing angle.

$m\angle F$m∠F$=$=$\editable{}$ degrees

Easy
< 1min

Triangles $MNO$MNO and $PQR$PQR are similar.

There are two triangles. The first triangle has angle M measures 60 degrees, angle N measures 79 degrees and angle O measures 41 degrees. The second triangle has angle P measures 60 degrees, angle R measures 41 degrees and angle Q is unknown.

Easy
< 1min

Consider the quadrilateral $HIJK$HIJK below.

Quadrilateral HIJK with with boxes in the three angles H,J and K.

Easy
< 1min

Quadrilaterals $ABCD$ABCD and $EFGH$EFGH are similar.

There are two quadrilaterals. The first quadrilateral has angle A measures 80 degrees, angle B measures 105 degrees, angle C measures 97 degrees and angle D measures 78 degrees. The second quadrilateral has angle E measures 80 degrees, angle G measures 97 degrees, angle H measures 78 degrees and angle F is unknown.

Easy
< 1min
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Outcomes

7.MG.2

The student will solve problems and justify relationships of similarity using proportional reasoning.

7.MG.2d

Write proportions to express the relationships between the lengths of corresponding sides of similar quadrilaterals and triangles.

7.MG.2f

Solve a proportion to determine a missing side length of similar quadrilaterals or triangles.

7.MG.2g

Given angle measures in a quadrilateral or triangle, determine unknown angle measures in a similar quadrilateral or triangle.

7.MG.2h

Apply proportional reasoning to solve problems in context including scale drawings. Scale factors shall have denominators no greater than 12 and decimals no less than tenths.

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