Use These Strategies
Logical Reasoning
Make an Organized List
More Than One Solution
Use More Than One Step
Use a Diagram
Write an Equation135 °45 ° 80 °MP QRSTUNOChoose a strategy from the list or use another
strategy you know to solve each problem.- Mr. Gray’s class creates a logo that has six
line segments. In the logo, you can find a
trapezoid, two right triangles, and a square.
Draw one possible design for the logo. - Greg is making designs with exactly three
interlocking figures. He can choose from circles,
squares, triangles, and trapezoids. He can use
one or more than one of the figures. How many
combinations can he use to make his designs? - is to as is to.
- Each right triangle in the figure at the right
has an area of 30 square inches. Each obtuse
triangle has an area of 16.5 square inches.
What is the area of the entire figure? - Four students each draw a rhombus, a square, a
rectangle, or a trapezoid. No shape is drawn twice.
Meg and Bill draw more than 2 right angles.
Bill and Lyle’s shapes have 4 congruent sides.
What shape does Zack draw? - Bill measures the angles of a quadrilateral. He finds
that two angles measure 55° and 87°. What is the
sum of the measures of the other two angles?
Use the diagram for problems 19–22.- What is the measure of MNR?
- The measures of SORand ORS
are equal. What is each measure? - What is the measure of NRO?
(Notice that QRSis a straight angle.) - Are PRNand RNOcongruent? Why?
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