Similar Triangles

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are similar triangles?
Back
Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
2.
FLASHCARD QUESTION
Front
What is the Angle-Angle (AA) similarity criterion?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
Tags
CCSS.HSG.SRT.A.2
3.
FLASHCARD QUESTION
Front
What is the Side-Side-Side (SSS) similarity criterion?
Back
If the corresponding sides of two triangles are in proportion, then the triangles are similar.
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
What is the Side-Angle-Side (SAS) similarity criterion?
Back
If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.
Tags
CCSS.HSG.SRT.B.5
5.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their corresponding sides?
Back
The ratio of their corresponding sides is 1:2.
Tags
CCSS.HSG.SRT.A.2
6.
FLASHCARD QUESTION
Front
If two triangles are similar, how do you find the length of a side in one triangle if you know the length of the corresponding side in the other triangle?
Back
Use the proportion of the lengths of the corresponding sides to set up a ratio and solve for the unknown length.
Tags
CCSS.HSG.SRT.A.2
7.
FLASHCARD QUESTION
Front
If triangle XYZ is similar to triangle PQR, and XY = 6 cm, YZ = 9 cm, and PQ = 12 cm, what is the length of QR?
Back
QR = (YZ / XY) * PQ = (9 / 6) * 12 = 18 cm.
Tags
CCSS.HSG.SRT.A.2
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