Similar Triangles

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
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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 AA similarity theorem?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (AA~).
Tags
CCSS.HSG.SRT.A.2
3.
FLASHCARD QUESTION
Front
What is the SSS similarity theorem?
Back
If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar (SSS~).
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
What is the SAS similarity theorem?
Back
If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar (SAS~).
Tags
CCSS.HSG.SRT.B.5
5.
FLASHCARD QUESTION
Front
How do you determine if triangles are similar?
Back
Check for equal corresponding angles or proportional corresponding sides using AA, SSS, or SAS theorems.
Tags
CCSS.HSG.SRT.A.2
6.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, what can be said about their angles?
Back
Angle A = Angle D, Angle B = Angle E, Angle C = Angle F.
Tags
CCSS.HSG.SRT.A.2
7.
FLASHCARD QUESTION
Front
If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to it with a side of 6, what is the length of the corresponding side in triangle DEF?
Back
The corresponding side in triangle DEF is 8 (using the ratio 6/3 = 2, so 4 * 2 = 8).
Tags
CCSS.HSG.SRT.A.2
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