# Transforms Define transform matrices to apply affine transformations to layers in Core Animation. ## Topics ### Creating Transforms [`CATransform3DMakeTranslation`](/documentation/QuartzCore/CATransform3DMakeTranslation(_:_:_:)) Returns a transform that translates by `(tx, ty, tz)`. [`CATransform3DMakeScale`](/documentation/QuartzCore/CATransform3DMakeScale(_:_:_:)) Returns a transform that scales by `(sx, sy, sz)`. [`CATransform3DMakeRotation`](/documentation/QuartzCore/CATransform3DMakeRotation(_:_:_:_:)) Returns a transform that rotates by `angle` radians about the vector `(x, y, z)`. ### Chaining Transforms [`CATransform3DConcat`](/documentation/QuartzCore/CATransform3DConcat(_:_:)) Concatenates `b` to `a` and returns the result: `t = a * b`. [`CATransform3DTranslate`](/documentation/QuartzCore/CATransform3DTranslate(_:_:_:_:)) Translates `t` by `(tx, ty, tz)` and returns the result: `t` `= translate(tx, ty, tz) * t`. [`CATransform3DScale`](/documentation/QuartzCore/CATransform3DScale(_:_:_:_:)) Scales `t` by `(sx, sy, sz)` and returns the result: `t = scale(sx, sy, sz) * t`. [`CATransform3DRotate`](/documentation/QuartzCore/CATransform3DRotate(_:_:_:_:_:)) Rotates `t` by `angle` radians about the vector `(x, y, z)` and returns the result. ### Inverting a Transform [`CATransform3DInvert`](/documentation/QuartzCore/CATransform3DInvert(_:)) Inverts `t` and returns the result. ### Determining Transform Properties [`CATransform3DIsAffine`](/documentation/QuartzCore/CATransform3DIsAffine(_:)) Returns a Boolean value that indicates whether a transform can be exactly represented by an affine transform. [`CATransform3DIsIdentity`](/documentation/QuartzCore/CATransform3DIsIdentity(_:)) Returns a Boolean value that indicates whether the transform is the identity transform. [`CATransform3DEqualToTransform`](/documentation/QuartzCore/CATransform3DEqualToTransform(_:_:)) Returns a Boolean value that indicates whether the two transforms are exactly equal. ### Converting to and from Core Graphics Affine Transforms [`CATransform3DMakeAffineTransform`](/documentation/QuartzCore/CATransform3DMakeAffineTransform(_:)) Returns a transform with the same effect as affine transform `m`. [`CATransform3DGetAffineTransform`](/documentation/QuartzCore/CATransform3DGetAffineTransform(_:)) Returns the affine transform represented by `t`. ### Data Types [`CATransform3D`](/documentation/QuartzCore/CATransform3D) The standard transform matrix used throughout Core Animation. ### Constants [`CATransform3DIdentity`](/documentation/QuartzCore/CATransform3DIdentity) The identity transform: `[1 0 0 0; 0 1 0 0; 0 0 1 0; 0 0 0 1]`. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)